a x and x are giving me some trouble

cos( x 2 )cos( y 2 )) hat j is conservative and obtain the potential function. Evaluate the work done by vec F in moving a particle along the curve C which is the portion of the circle centered at origin with radius 2 in the first quadrant with counter clockwise orientation, without using line integrals.

4.3+2.5 : 10^8, 6.8 6.8 x 10^8 But the answer is 4.5 x 10^8 How do i get 4.5?

aximize utility. c). The use of scarce resources to satisfy our wants. d). The use of fiscal and monetary policies to achieve economic outcomes. Flag question: Question 2 Question 21 pts 2. In a capitalist economy a). The government plays the dominant role. b). Market forces coordinate most production activities. c). The prices of most goods and services are set by the government. d). All of the above are correct. Flag question: Question 3 Question 31 pts 3. In a capitalist economy a). Most producers are driven by the desire to make profit. b). The government regulates most economic activities. c). Foreigners play no role in the economy. d). The output of most goods are planned. Flag question: Question 4 Question 41 pts 4. In drawing the graph of two variables that are related a). The Y variable goes on the horizontal axis. b). The X variable goes on the vertical axis. c). The independent variable goes on the vertical axis. d). In most cases the dependent variable goes on the vertical axis.

of a trapezoid is 1/2 h(b1+b2)

s him about the same time to assemble. He figures he has time to make at most 18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand. Find how many of each piece of furniture Andrew should make so that he maximizes his profit. Using the information in the problem, write the constraints. Let x represent number of bookcases, and y represent number of TV stands.

reaction between A(g) and X(g). What is the amount of heat released when 10 mol of A(g) reacts with an excess X(g) ? ΔH A -236kJ X -136kJ Y -167kJ Using the heats of formation found in the table above, calculate ΔH for the reaction below. 6A(aq) + 7X(g) → 6Y(l) Y + 2X → 4Z ΔH=-4 A + 3B → 2Z ΔH=-2 A → X +C ΔH=7 Using the thermodynamic data above, determine ΔH for the reaction below. 2C+ 6B → Y When 0.3 moles of A(s) (4 grams) is dissolved in 12 grams of water at 23°C, the temperature of the water increases to 31°C. The specific heat of water is 4.18 J/g°C. Calculate ΔH in kJ/mol. Report your answer to 1 decimal place.

titrated with a 0.200 M solution of the base, LiOH. Write the balanced chemical reaction for neutralization reaction: HClO4 (aq) + LiOH (aq) → LiClO4 (aq) + H2O (l) Write the NET ionic equation for the neutralization reaction. OH⁻ (aq) + H⁺ (aq) → H2O (l) Compute the pH of the titration solution. Show your work i) before any of the base is added ii) after 25. mL of base is added iii) after 50. mL of base is added A student performs the titration with the same chemicals but with smaller volumes of each chemical . Which of the following titration curves could represent the titration. Explain A because this entails a strong acid and a strong base. Question 2 A student performs a titration of an unknown acid with a strong base and gets the following titration curve: a) The student consults the list of pKa of acids shown below. If the acid is listed in the table below, which is the most likely identity of the unknown acid? Explain. Acid Ka HF 7.2 x 10-4 CH3COOH 1.8 x 10-5 H2CO3 4.3 x 10-7 HBrO 2.0 x 10-9 The unknown acid is HBrO because the calculated Ka is in between 50^-4 and 50^-6 and 2.0 x 10^-9 lies in between them. b) What is the initial molarity of the acid? 10^-3 = 0.001M Question 3 a) Describe the components and the composition of an effective buffer solution. Explain how the components of the buffer allow the buffer to maintain its pH. An effective buffer solution has a weak acid and its conjugate base or a weak base and its conjugate acid. A buffer solution is most effective when the ratio of its component concentrations is close to 1, also when the pH is equal to the pka of the acid.; The components of the buffer allow the buffer to maintain its pH because buffers can absorb excess H+ions or OH– ions. An employer is interviewing four applicants for a job as a laboratory technician and asks each how to prepare a buffer solution with a pH of 5.0. The following constants may be helpful: hydrazoic acid, pKa = 4.74 Boric acid, pKa = 9.23 Archita A. says she would mix equal molar solutions of hydrazoic (HN3) and sodium azide (NaN3) solutions. Bradley B. says she would mix equimolar Boric acid (H3BO3) and HCl solutions. Carlos C. says he would mix equimolar Boric Acid (H3BO3) and sodium dihydrogen borate (NaH2BO3) solutions. Delia D. says he would mix equimolar hydrazoic Acid (HN3) and NaOH solutions. b) Which of these applicants has given an appropriate procedure? Explain your answer Delia because she is using Sodium hydroxide which results in a pH of 5. NaOH is a strong base and in order to have an effective buffer a weak acid must be incorporated which is the HN3. c) Explain what is wrong with the erroneous procedures. The rest all incorporate a strong acid and a strong base or a weak acid and a weak base which don’ result in an effective buffer. d) The applicants have access to the 1 Liter volumes of each of the solutions listed above. They have access to graduated cylinders. In order to make 1.0 Liter of the correct 5.0 buffer solution, what volumes of the two chemicals must be mixed?

) with respect to the origin. Then determine the coordinates of the bead (x2 and y2) with respect to point a. Finally, put your answers together to get the x and y coordinates of the bead with respect to the origin.

entire project with color

than 7.33 is 0.6738, then what is the mean of x?

Two-Stage DDM. Your estimate for g2 is the growth rate that you expect will continue “forever” in the second stage. Your estimate for g2 should not be much greater than the expected future growth in the overall economy (expected growth in GDP). Why? LIST your estimate for g2 and provide a short paragraph that EXPLAINS your reasoning AND the source of your estimate for long-term growth in GDP. Finally, estimate and LIST a price per share for KO using your estimates for g1, N, Re, g2 and KO’s current annual dividend (most recent quarterly dividend x 4) as D(0) in the Two-Stage DDM (submit your spreadsheet).

he Two-Stage DDM. Your estimate for g2 is the growth rate that you expect will continue “forever” in the second stage. Your estimate for g2 should not be much greater than the expected future growth in the overall economy (expected growth in GDP). Why? LIST your estimate for g2 and provide a short paragraph that EXPLAINS your reasoning AND the source of your estimate for long-term growth in GDP. Finally, estimate and LIST a price per share for KO using your estimates for g1, N, Re, g2 and KO’s current annual dividend (most recent quarterly dividend x 4) as D(0) in the Two-Stage DDM (submit your spreadsheet). 2. Calculate KO’s FCFF for EACH of the past five (5) years using the financial statement data found in KO’s annual reports and using the FCFFM.xls template. The template will calculate the annual FCFF value for you, but you MUST insert the correct input values for Depreciation & Amortization, Capital Investment, Capital Sales, etc. 3. Assume that the average annual FCFF from Q5 is good estimate of KO’s FCFF(0) for use in the FCFM. LIST your estimate for FCFF(0) then estimate and LIST a price per share for KO using your estimates for g1, N, WACC, g2 and FCFF(0) in the Two-Stage FCFFM (submit your spreadsheet).Use the same estimate second stage or stable stage growth, g2, in the FCFFM that you selected for the DDM. 4. Apply Relative Valuation methods to Coca-Cola (KO) using the following three (3) popular relative valuation ratios - Price/Earnings, Price/Book, Price/Sales (call these three ratios Price/”X” ratios). Select at least five (5) comparable firms that are in the same industry as KO and use the average P/X ratio for the group of comparable firms in your valuation analysis. The P/X ratios for the template can be found by using the screener on the Finviz.comwebsite. Use the Relative Valuation (RV) Excel spreadsheet tab found in the Two Stage_DDM_FCFE_FCFF_RV.xlsx file.

have done the calculus which reveals that the surface area is at a minimum when height is double the radius. I am now trying to find an equation for the relationship between the amount of wasted surface area as a percentage of the minimum surface area and the ratio between height and radius. If I were to plot it on a graph, the y axis would be the percentage of excess materials needed as a percentage of the minimum possible surface area, and the x axis would be height divided by radius. Since the surface area is minimized when height=2(radius), I know that when x=2, y=0. The website https://www.datagenetics.com/blog/august12014/index.html explains what I am trying to do quite well and shows the graph below. I am trying to find the equation for this graph, but am unsure how to go about it.

ot true. y=xx+x+11 is always a prime number when x is an integer (b) Show that the statement is not true.

ive power of 57 million tons of TNT, the largest human made explosion. The energy released was 240 x 1015Joules, (more than the energy of all other normal bombs combined). How much matter was converted into energy when this bomb exploded?

lly a math problem I gotta solve, and I have no idea how to do it cause of lack of my math skills. I am hoping someone can help me with this or I'm screwed. Co basically I've got this table in excel, where X (row) is a width and Y is a height (column) of a wooden sauna cabin, the X;Y is the price for a sauna with said dimensions. I need to find a relationship between the size of the sauna and the price And formulate ani equation. I can't seem to find it, the price seems to grow non linearly, I can't seem to find any coeficient. Again, I suck at math, maybe solution is simple, but I just don't see it. Can anyone help me please? Table Is at this link https://ibb.co/fGrxSvf . Thanks for any help!

mand is 18,200 rolls. When the demand increases to 26,200 rolls, the supply is 20,000 and the price is $1.24 per roll. Let x be the quantity in thousands of rolls. The table below gives the price-supply and price-demand equations. Price Equations for Toilet Paper Type Equation Price-Supply P = -0.04x + 2.04 Price-Demand P = 0.025x + 1.495 QUESTION 1 Find the supply at a price of $2 per roll. 1000 rolls 10,000 rolls 1 roll 5000 rolls QUESTION 2 Find the demand at a price of $2 per roll. 20.2 rolls 202 rolls 20,200 rolls 500 rolls QUESTION 3 Use the substitution method to find the equilibrium quantity. Round x to the nearest tenth first and then convert to thousands. Include the units in your answer. QUESTION 4 What is the equilibrium price? Write the answer in dollars and cents, rounding to the nearest cent.

hin a free demo session as I have my answers, but just want to confirm them, that would be greatly appreciated. Question 1: A block of mass M = 0.10 kg is attached to one end of a spring with spring constant k = 100 N/m . The other end of the spring is attached to a fixed wall. The block is pushed against the spring, compressing it a distance x = 0.04 m . The block is then released from rest, and the block-spring system travels along a horizontal, rough track. Data collected from a motion detector are used to create a graph of the kinetic energy K and spring potential energy Us of the system as a function of the block's position as the spring expands. How can the student determine the amount of mechanical energy dissipated by friction as the spring expanded to its natural spring length? Question 2: The Atwood’s machine shown consists of two blocks connected by a light string that passes over a pulley of negligible mass and negligible friction. The blocks are released from rest, and m2 is greater than m1. Assume that the reference line of zero gravitational potential energy is the floor. Which of the following best represents the total gravitational potential energy U and total kinetic energy K of the block-block-Earth system as a function of the height h of block m1? Question 3: A 2 kg block is placed at the top of an incline and released from rest near Earth’s surface and unknown distance H above the ground. The angle θ between the ground and the incline is also unknown. Frictional forces between the block and the incline are considered to be negligible. The block eventually slides to the bottom of the incline after 0.75 s. The block’s velocity v as a function of time t is shown in the graph starting from the instant it is released. How could a student use the graph to determine the total energy of the block-Earth system? Question 4: A block slides across a flat, horizontal surface to the right. For each choice, the arrows represent velocity vectors of the block at successive intervals of time. Which of the following diagrams represents the situation in which the block loses kinetic energy?

payments cost $420 per month and gasoline, oil, and routine maintenance cost $0.52 per mile. a. Find a linear function f that gives the annual cost of driving this car x miles b. What are the domain and range of this function?

ard free energy G° by 18 kJ/mole, with A* having the higher G°. Use the table below to find how many more molecules will be in state A* compared with state A at equilibrium. If an enzyme lowered the activation energy of the reaction by 11.7 kJ/mole, how would the ratio of A to A* change? Table: RELATIONSHIP BETWEEN THE STANDARD FREE- ENERGY CHANGE, ∆G°, AND THE EQUILIBRIUM CONSTANT Hint: ∆G° represents the free-energy difference under standard conditions (where all components are present at a concentration of 1 mole/litter). From this table, we see that if there is a favourable free-energy change of –17.8 kJ/mole for the transition Y→ X, there will be 1000 times more molecules of X than of Y at equilibrium (K = 1000).

f x+3 inches solve for x

terms of a and b. (ii) Explain why a ≠ -3/4b ' ( b) A cylinder has a length equal to 3 times its diameter. Find the total area of the cylinder as a function of its radius.

ht. b) Explain the graph in the context of the problem. b) Explain any restrictions on x in the context of the question.

hoots a laser beam in a straight path from a deck 14 feet above sea level off the coast of Florida, is it possible the laser beam will cross the path of the model rocket? Use a piece of graph paper to write/model equations f ( x ) to represent the path that models the rocket and g ( x ) to represents the path that models the laser beam.

units. Chemical Equation: Write a generic chemical equation for the dehydration of cobalt (II) chloride ∙ x hydrate (include the state symbols of the reactant and two products). [T2] Mass of Reactants and Products: a) Calculate the initial mass of the hydrated cobalt (II) chloride. [T1] b) Calculate the final mass of the anhydrous cobalt (II) chloride remaining in the cruiio8icible. [T1] c) Calculate the mass of water given off by the sample of hydrated cobalt (II) chloride. [T1] Moles of Products: a) Calculate the moles of anhydrous cobalt (II) chloride remaining in the crucible. [T1] b) Calculate the moles of water released from the hydrate. {T1] 4. Mole Ratio a) Create an experimental mole ratio between the b) and a). [T1] 5. Formula of Hydrate: State the chemical formula you have determined for this hydrate. Round the formula to the closest whole number value for x. [T1] Discussion/Conclusion Questions: [T6] Based on the chemical formula of the hydrate, calculate the percentage composition (percent by mass) of the hydrated cobalt (II) chloride. Remember to determine the percentage of each element (Co, Cl, H, and O). [T2] A possible source of systematic error in this experiment is insufficient heating. Suppose that the hydrate was not completely converted to the anhydrous form. Describe how this would affect: the calculated percent by mass of water and the experimental molecular formula (i.e. would x be higher, lower or the same). Suppose a student spilled some of the hydrated cobalt (II) chloride. Describe how this would affect the calculated percent by mass of water (would it be higher, lower or the same) and the experimental chemical formula of the hydrate. [T2]

nd standard deviation 6 inches. A button hyperlink to the SALT program that reads: Use SALT. (a) What is the probability that an 18-year-old man selected at random is between 64 and 66 inches tall? (Round your answer to four decimal places.) Correct: Your answer is correct. (b) If a random sample of seven 18-year-old men is selected, what is the probability that the mean height x is between 64 and 66 inches? (Round your answer to four decimal places.) Incorrect: Your answer is incorrect. (c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this? The probability in part (b) is much higher because the standard deviation is smaller for the x distribution. The probability in part (b) is much higher because the standard deviation is larger for the x distribution. The probability in part (b) is much higher because the mean is smaller for the x distribution. The probability in part (b) is much higher because the mean is larger for the x distribution. The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.

bottom of the roof lie on the x-axis. The equation of the function describing the cross-section is h(x)=-|6x|+7, where h is the height of the roof, in metres, and x is the horizontal distance from the centre of the roof, in metres. To the nearest tenth of a metre, what is the width of the bottom of the roof?

of CoCl2 . H2O. The hydrate became anhydrous through this. Suppose a student spilled some of the hydrated cobalt (II) chloride. Describe how this would affect the calculated percent by mass of water (would it be higher, lower or the same) and the experimental chemical formula of the hydrate. [T2] A possible source of systematic error in this experiment is insufficient heating. Suppose that the hydrate was not completely converted to the anhydrous form. Describe how this would affect: the calculated percent by mass of water and the experimental molecular formula (i.e. would x be higher, lower or the same).

in Y. prove that f-1(X) is a subset of f-1(Y)

countered (unidirectional flow or parallel flow). The planer walls and the fluids are initially at rest. Lower plate moves to left and upper plate to right. Let the fluids be an oil, where kinematic viscosity (ν) = 2.17 x 10-4m2/s and the distance between both plate (h) is 10 mm. U0 = 0.4 m/s I need to find the governing equation, boundary conditions, initial conditions and to derive velocity distribution in steady state. Also, Use FTCS explicit method to calculate the velocity distribution as a function of time by implementing these governing equation in Matlab

it sound like a math problem. The problem : What are the chances of a 4 sided die landing on 1 twice and on 2 twice out of 4 rolls. The solution I came up with originally was (2/4) x (2/4) x (2/4) x (2/4) . Which I realized was wrong as this allowed the die to land on 1 four times in a row. So then I came up with this soultion (which i still think is wrong) (2/4) x (2/4) x (1/4) x (1/4) . So the reasoning behind this is : The first roll obviously has a 50% chance to roll on either 1 or 2. Second roll is the same. BUT, lets say both of them land on 1, and now it HAS to land on 2 the remaining two times. So my problem is with the current solution that I have is what if the die lands on 1 on the first roll, then on two for the second one. then the third roll would still have a 2/4 AKA a 50% chance of landing on either one. I'm sure the last roll is 1/4 but I just dont know if the order matters on the rolls. This has been driving me crazy the last hour. Please help if you can thanks

k of mass 100 m that is resting on a table with negligible friction. The top of the table is a distance h above the floor. After the collision, the projectile and the block fly off the table and land a distance x from the base of the table. Express all answers in terms of m, h, Vo, and appropriate constants: a. The velocity of the projectile and block as they leave the table. b. The distance x Suppose that the projectile passes through the block instead of being trapped in it. c. Will the time required for the block to reach the floor from the edge of the table now be greater than, less than, or the same as before? Justify your answer. d. Will the distance x for the block be greater than, less than, or the same as before? Justify your answer.

s Bedroom. The pail has an exterior diameter of 350 mm and interior 300 mm on the top while 200 mm exterior diameter x 150 mm interior diameter on its bottom. The pail has a height of 500 mm. Calculate the capacity of concrete the pail can hold and how many pails of concrete are needed to fill the concrete slab of the master’s bedroom? 2.) An Infinity pool that has a dimension of 10518 mm x 17880 mm x 1524 mm will be excavated; the height of the pool is ¼ above ground. If one small truck can hold 100 cu.ft of soil, how many truckloads of soil will be excavated?

ate = k [A] x [B]. The intial rate of the reaction is 0.021 M/s when the concentration of A is 0.039 M and concentration of B is 0.025 M. Dtermine the value of the rate constant in M-1/s. Do not include unit. Keep one decimal place in your answer

er-example (if false). (a) If |f | is integrable on [a, b], then f is also integrable on [a, b]. (b) If f = F ′ for some function F on [a, b], then f is continuous on [a, b]. (c) If g is continuous on [a,b], then g = G′ for some G on [a,b]. (d) If G(x) = ???? x g is differentiable at p ∈ (a, b), then g is continuous at p.

So far I just tried to do the obvious and substitute -a for - sin b. Like so; sin 2x = - sin b which then becomes; sin 2x = sin -b and then I can remove the sines and rearrange for x, which gives me this. 2x = -b x = -b/2 However, if I were to look at the domain of b. Any value within the domain will give a value that doesn't fit the domain of x. Any suggestions would be great. Thank you!

etween. * A B D 3. Which shows the following numbers in order from least to greatest? * B C D 4. Which is the best name for this group of numbers? * A B D 5. Which point on the number line best represents √3? * A B C For question 6 and 7, write each number in either scientific notation or standard notation. 6. The diameter of Mercury is 4879 kilometers. * 7. The diameter of a bacterial cell called a mycoplasma is about 2 x 10-7 meter. * 8. In which group are the numbers in order from greatest to least? * B C D 9. Greg found the length of a hypotenuse of a right triangle to be √90 feet. Between which two integers does √90 lie? * A B C 10. Which is the best name for this group of numbers? * A C D 11. The water levels of five Texas lakes were measured on the same day in 2010. The table below shows the number of feet above or below normal level for each lake. Which list shows the numbers in the table from greatest to least? * B C D 12. Which numbers from this list are less than -0.94? * B C D 13. The length of a micrometer is approximately 0.00003937 inch. How would you express this in scientific notation? * A B C 14. The National Park Service manages approximately 84,000,000 acres of federal land. How would you express this number using scientific notation? * B C D 15. Seismosaurus is the longest known dinosaur. It measured 1800 inches. How far would 3000 Seismosaurus dinosaurs span if they were placed head to tail? Write your answer in scientific notation. *

80 seconds to completely travel a distance of 1440 meters while Engine 2 took 100 seconds to completely travel a distance of 1700 meters. If Engine 1 is X meters long and Engine 2’s speed is Y meters per second, what is X + Y?

34.0 N when it’s not in the water. When it’s submerged in water (the density of water is 1.00 x 103 kg/m3) the scale now reads 27.0 N. (a) What is the density of the block? (b) If you suspended another object from the block that has a density of 3.20 x 103 kg/m3, with both objects submerged, what would the object's mass need to be for the scale to once again read 34.0 N? Note: Part (a) is worth 7 points, and part (b) is worth 8 points.

n, y = 0.2x2 – 0.4x – 0.6, where x and y are measured in metres. a) Find the x intercepts b) Find the vertex. c) What is the minimum height of the hammock?

lity... "As part of a probability experiment, Elliott is to answer 4 multiple-choice questions. For each question, there are 3 possible answers, only 1 of which is correct. If Elliott randomly and independently answers each question, what is the probability that he will answer the 4 questions correctly?" Solving the question I keep getting 1/256. My reasoning is that each question has a 1/4 chance of being right if you guessed, so 1/4 x 1/4 x 1/4 x 1/4 = 1/256. But my answer choices are as follows, with the correct answer being E: A. 27/81 B. 12/81 C. 4/81 D. 3/81 E. 1/81 Am I missing something? Or am I just completely solving this wrong?

ons, and I'd like to go over a question: "Determine whether the relation x + y^2 = 4 is a function."

t . 2x + 2y ≤ 12 2x + 4y ≤ 10 x ≥ 0,y ≥ 0 (a) What value of will result in a unique optimal solution to this LP and what is the corresponding optimal solution? You need to give a comprehensive answer. (b)What value of will result in infinitely many solutions to this LP? You need to give a comprehensive answer. (c) What value will result in no optimal solution to this LP? You need to give a comprehensive answer.

de by credit card; you think this is true at your store as well. On a typical day you make 20 sales. Show that this situation can be modeled by a binomial distribution. For credit, you must discuss each of the criteria required for a binomial experiment. Define the random variable x in this scenario, using the context of the problem. List all possible values of x for this situation. On one trial for this scenario, what does “success” mean? Explain using the words of the problem. What is the probability of success in this scenario? What is the probability of failure in this scenario? Probability Distribution Instructions¬¬¬¬ In Excel, create a probability distribution for this scenario. Label Column A as “x” and Column B as “P(x).” In Column A, list the numbers 0 to 15. In Column B, use BINOM.DIST.RANGE to calculate the probability for each x value. Highlight the probability cells, then right click and select Format Cells. Format the probability cells as “Number” and have Excel show 4 decimal places. Create a probability histogram using the probabilities you calculated. Format and label it properly. Be sure to use the “Select Data” button to change the x-axis so it correctly lists the x-values.

ose the breaking point is uniformly distributed on the chalk. Let X denote the length of the shorter piece and R the ratio of the lengths of the shorter to the longer piece. Then X has uniform distribution on [0; 1 2 ]. (a) (6pts) Find the probability density function of R. (b) (8pts) Find the mean and variance of R.

is the middle of the DrawingPanel. Ask the user to enter an x and a y coordinate for a DrawingPanel. Your program will draw a line from the last coordinates to the current coordinates the user enters. If the user enters an x value or y value out of bounds of the DrawingPanel, then end the program.

he National Center for Health Statistics reports that the mean systolic blood pressure for males 35 to 44 years of age is 128 and the standard deviation in this population is 15. The medical director of a company looks at the medical records of 72 company executives in this age group and finds that the mean systolic blood pressure in this sample is X = 126.07. Is this evidence that executive blood pressures differ from the national average? Conduct a hypothesis test to answer this question using α = 0.05.

seen an equation of a circle this is moved in both the x and y direction be converted to a polar equation. For example, I know that the equation of a circle x^(2)+(y-2)^(2)=4 is r=4sin(theta) when converted to polar. Same thing for a translation with the x variable. However, I have never seen, nor do I know how to do, a conversion of a circle with both translations. For example, converting this equation of a circle to a polar equation: (x+3)^(2)+(y-4)^(2)=4. I have no idea how to do such a thing and cannot find any examples of such. Hope you can shed some light on this, Thanks.

rued when you go from making 1 chai tea latte a day to 40 chai tea lattes a day. (Hint: relationship between marginal cost and total cost) 2. Suppose that C(x) = -0.01x + 5 represents the daily cost of heating the doughnut shop, in dollars per day, where x is time in days and x = 0 corresponds to January 1, 2020. Find the total cost of heating the shop for the first two weeks of January, and find the average cost to heat the shop each day for the first two weeks of January.

producer's surplus if the equilibrium price of a unit $ 99 .A retailer anticipates selling 7600 units of its product at a uniform rate over the next year. Each time the retailer places an order for x units, it is charged a flat fee of $ 100 . Carrying costs are $ 38 per unit per year. How many times should the retailer reorder each year and what should be the lot size to minimize inventory costs? What is the minimum inventory cost? For a particular commodity, the demand function is q = 1 4 ( 400 − p 2 ) . a . Find ε when p = 8 .A hotel rents 240 rooms at a rate of $ 60 per day. For each $ 1 increase in the rate, three fewer rooms are rented. Find the room rate that maximizes daily revenue.

uminum and steel. The company has available 38 comma 160 units of steel and 48 comma 380 units of aluminum. The​ 1-, 3-, and​ 10-speed models​ need, respectively, 8​, 12 and 16 units of steel and 15​, 10​, and 20 units of aluminum. The company makes ​$4 per​ 1-speed bike, ​$6 per​ 3-speed, and ​$16 per​ 10-speed. Use the simplex method to complete parts​ (a) and​ (b). ​(a) How many of each type of bicycle should be made in order to maximize​ profit? What is the maximum​ profit? Set up the linear programming problem. Let x 1​, x 2​, and x 3 represent the numbers of​ 1-, 3-, and​ 10-speed bicycles,​ respectively, and let z be the total profit. ▼ Minimize Maximize zequals nothing subject to 8 x 1 plus 12 x 2 plus 16 x 3 ▼ greater than less than or equals greater than or equals less than nothing 15 x 1 plus 10 x 2 plus 20 x 3 ▼ greater than less than or equals less than greater than or equals nothing x 1greater than or equals​0, x 2greater than or equals​0, x 3greater than or equals0. ​(Do not factor. Do not include the​ $ symbol in your​ answers.) Set up the initial simplex tableau and use the Simplex Method to solve. The maximum profit is ​$ nothing. To get that​ profit, the company should make nothing ​1-speed bicycle(s), nothing ​3-speed bicycle(s), and nothing ​10-speed bicycle(s). ​(Type whole​ numbers.) ​(b) Explain what the values of the slack variables in the optimal solution mean in the context of the problem. Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) to complete your choice. A. When the profit is​ maximized, all of the steel is used but nothing units of aluminum remain unused. ​(Type a whole​ number.) B. When the profit is​ maximized, some of each material remains unused.​ Specifically, nothing units of aluminum and nothing units of steel remain unused. ​(Type whole​ numbers.) C. When the profit is​ maximized, all of the available aluminum and steel is used. D. When the profit is​ maximized, all of the aluminum is used but nothing units of steel remain unused. ​(Type a whole​ number.)

't change, but throughout the night the height of the mattress is decreasing. The rate at which it decreases varies over time: at the beginning it is just shrinking a tiny bit, but after a while it starts shrinking faster. If the height of the of the mattress follows the formula h=18-0.2x^2, where h is the height in inches and x is the time in hours, and the length of the mattress is always 74 inches, and the width of the air mattress is always 54 inches, please find the rate at which the VOLUME of the air mattress is changing after 2 hours. V ' = cubic inches per hour after 2 hours. (Round to one decimal place, but take a picture of your work and send it to me if you're worried your answer might be slightly off.)

lve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in standard mathematical notation rather than calculator syntax. Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point. Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number. Let f be a twice-differentiable function such that f′(2)=0 . The second derivative of f is given by f′′(x)=x2e2−x−1 for 0≤x≤6 . (a) On what open intervals contained in 0 View More

AP Math