Find the equation of the tangent line to equation at the point

t (4, 2). Find the equation of the ellipse in standard form.

is number that can be binary system, decimal system, hexadecimal system. 2. For each of the following pairs of sets, determine if they are disjoint, equal, one is a proper subset of the other, or none of the above. Provide evidence for your answer (i) Q×Z and R×Z (ii) R−ZandQ (iii) {−x|x∈Z}andZ (iv) {x^2 |x∈Z}andZ

b is number that can be binary system, decimal system, hexadecimal system. 2. For each of the following pairs of sets, determine if they are disjoint, equal, one is a proper subset of the other, or none of the above. Provide evidence for your answer (i) Q×Z and R×Z (ii) R−ZandQ (iii) {−x|x∈Z}andZ (iv) {x^2 |x∈Z}andZ

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

has a negative fraction

perties: Center at the point (-4, 8) Tangent to the y-axis

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.

certain objects. So in this case, I derived a log spiral equation in polar coordinates to model an spiral galaxy. I plan on finding the area as well as volume of the galaxy using the function which I have derived. So is there any way, I could integrate these spiral functions to find area?

arbitrary point (2 sin 2t, 2 cos 2t, 3t) on the helix. b) Compute the arc length from (0,2,0) to (0,-2,3π/2) c) Compute the vectors T, N and B at (0,-2,3π/2) d) Compute the curvature at (0,-2,3π/2) e) Find the angle between T and the z-axis at (0,-2,3π/2) to the nearest tenth of a degree.

an arbitrary point (2 sin 2t, 2 cos 2t, 3t) on the helix. b) Compute the arc length from (0,2,0) to (0,-2,3π/2) c) Compute the vectors T, N and B at (0,-2,3π/2) d) Compute the curvature at (0,-2,3π/2) e) Find the angle between T and the z-axis at (0,-2,3π/2) to the nearest tenth of a degree.

y: When income is $1000, the expenditure on consumer goods is $800. Whenever income increases by 100, the expenditure on consumer goods increases by 80. (a) find the slope of the consumption function (b) find the equation of the consumption function (c) find the consumption when income is $7000 Question 8 options: i) (a) m = 4/5 (b) c(I) = (4/5) I + 80 (c) 5680 ii) (a) m = 4/5 (b) c(I) = (4/5) I + 880 (c) 5660 iii) (a) m = -4/5 (b) c(I) = -(4/5) I + 800 (c) 600 iv) (a) m = 4/5 (b) c(I) = (4/5) I + 7000 (c) 7600 v) (a) m = 4/5 (b) c(I) = (4/5) I + 0 (c) 5600

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.

le above gives values of the functions and their first derivatives as selected values of x. The function h is given by the equation h(x) = f(g(x))-6 b) find the rate of change of h for the interval 1>x>3. Graph in picture

ble above gives values of the functions and their first derivatives as selected values of x. The function h is given by the equation h(x) = f(g(x))-6 a) find h’(3) b) find the rate of change of h for the interval 1>x>3. Graph in picture

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.

eanuts to make the rest of the money for the field trip. They make $6 for each jar they sell. The diagram shows how the parts of this problem are related. Which equation can be used to find n, the number of jars they need to sell? Math item stem image

int where x = 30 Find the equation of the tangent line which models the ski slope.

where x=30 Find the equation of the tangent line which models the ski slope?

d doesnt deserve a job thank you

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

rts to the fireworks platforms: one part is on the ground and the other part is on top of a building. You are going to graph all of your results on one coordinate plane. Make sure to label each graph with its equation. Use the following equations to assist with this assignment. • The function for objects dropped from a height where t is the time in seconds, h is the height in feet at time it t, and 0 h is the initial height is 2 0 ht t h ( ) 16 =− + . • The function for objects that are launched where t is the time in seconds, h is the height in feet at time t, 0 h is the initial height, and 0 v is the initial velocity in feet per second is 2 0 0 ht t vt h ( ) 16 =− + + . Select the link below to access centimeter grid paper for your portfolio. Centimeter Grid Paper Task 1 First, conduct some research to help you with later portions of this portfolio assessment. • Find a local building and estimate its height. How tall do you think the building is? • Use the Internet to find some initial velocities for different types of fireworks. What are some of the initial velocities that you found? Task 2 Respond to the following items. 1. While setting up a fireworks display, you have a tool at the top of the building and need to drop it to a coworker below. a. How long will it take the tool to fall to the ground? (Hint: use the first equation that you were given above, 2 0 ht t h ( ) 16 =− + . For the building’s height, use the height of the building that you estimated in Task 1.) b. Draw a graph that represents the path of this tool falling to the ground. Be sure to label your axes with a title and a scale. Your graph should show the height of the tool, h, after t seconds have passed. Label this line “Tool”.

d by Xn+1 = 2.5Xn + 3n. In other words, find X1, X2, X3 and X4. (Note: Show all of your work. You may enter this difference equation and initial value in your calculator to confirm that you did the calculations correctly.)

44t, where t is the time in seconds. Find the average rate of change in the height of the firework from when it reaches the maximum height until when it reaches the ground.

on of the parabola in vertex form ‘passes through (13,8) and has a vertex of (3,2)’”and “Write an equation of the parabola in intercept form ‘x-intercepts of 12 and -6; passes through (14,4)

o not use spaces. View More

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