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1.Show that the force field vec F =(2xy-4- 1 2 sin( x 2 )sin( y 2 )) hat i +(x^ 2 + 1 2 cos( ...

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.

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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?

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3.I need someone to help me Create a 10" x 7" picture plane with a 1" grid and scale ...

entire project with color

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5.I am trying to figure out the optimal radius that will give the lowest surface area of a cylinder. I ...

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.

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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!

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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?

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infinity U(x,s) tends to 0.
But according to the equation it should tend to -g/s^3. Why do we ignore this?

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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

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ve under the law. Malcom X once said the most disrespected person in America is the black woman, the most unprotected person in America is the black woman and that the most neglected person in America is the black woman and I couldn’t agree more. In my research paper I plan to elaborate on this by examining the stories of Black women who have been abused by the systemic racism in our country and by their Black male counterparts. Black women are strong and have been forced to deal with the burdens of racial injustice, sexism, colorism, and nationalism. For that reason, I would like to further expand on these convictions.

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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

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17.Let a = sin b, 0 < b < pi/2. Find, in terms of b, the solutions of sin 2x = ...

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!

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ips when solving for x in this small inequality

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op
Speed = 37.529503 + 0.18599121 Drop
Sample size: 61
R (correlation coefficient) = 0.92132219
R-sq = 0.84883459
Estimate of error standard deviation: 4.4083553
Intercept 37.529503
Slope 0.18599121
Scatterplot has a positive direction.
Question as follows
Run another linear regression but use x = Drop (in feet) to predict y = Speed (in
miles per hour).
__________
Slope Interpretation:
__________

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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?

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

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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.

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26.the meaning of x time y i am having a hard time finding the meaning of x time y so ...

you could help me out for five day -clarissa
\

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estimated he consumed 12, 000 kcal/day.
Given that the formation of one ATP molecule from ADP and inorganic phosphate, requires 7.3 kcal/mole and that aerobic respiration is only 34% efficient, how many ATP molecules did Michael Phelps produce each day?
Reminder: There are 6.022 x 10^23 molecules/mole.

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28.Suppose that you run the following regression: Y i = β 0 + β 1 X 1 i + ...

i + β 4 X 4 i + β 5 X 5 i + μ i
You then decide to test the null hypothesis β 2 = β 3 = β 4 = 0.
What is your restricted model?

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formation: x commuters rode neither trains nor buses, y rode trains, and z rode only trains. How many people rode the following?
(a) trains and buses
(b) only buses
(c) buses
(d) trains or buses
I answered a easily but can't figure out b-d

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achine B. The nature of the machines makes their cost functions differ.
Total cost is given by C(x,y)equalsUpper C left parenthesis x right parenthesisplusUpper C left parenthesis y right parenthesis. How many units should be made on each machine in order to minimize total costs if xplusyequals19 comma 740 units are required?
The minimum total cost is achieved when
___ units are produced on machine A and
___ units are produced on machine B

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me. not sure howto solve it... help please. im from israel by the way.

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the same. not sure howto solve it... help please. im from israel by the way.

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33.I need help on solving the attached question. It has no numbers on it, it's just written solve for x

de the printout below. Use these values as estimates of the mean and standard deviation found in the population of all low prices. Suppose that the low prices were normally distributed (regardless of what your data may indicate). Find the proportion of all low prices that would be between $20 and $50 in the population. I want you to show your work. To receive full credit, you should include pictures of the normal curve (labeled with both x and z-values) with the pertinent probabilities shaded in the picture

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38.I how did this thing turned out i didn’t really understand can you explain? 1) x=y^2 ...

| Y
0-0
1-1
2-1.41
2– -1,41
2) y/3 =x+1
X | y
-2- -3
-1- 0
0-3
11-6
I dont know how’d they get that can u please explain the solution.

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e forecast calls for a 70% chance of snow on Saturday and a 50% chance of snow on Sunday. What is the probability that it will snow both days?
I think the answer is 35% but my teacher disagrees. (0.7 x 0.5 = 0.35)
Can you help me?

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42.I am wondering if we have a circle and someone goes around the circle three times. 1. the first time ...

me he goes around the circle X m/s
2. the second time he goes around the circle Y m/s
3. His average velocity is Z m/s
4. What is the velocity the third time.

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of a product. Given the cost (in 10's $) of a toy is c=2x-1+2/x, where x is the number of quantity in 1000s. the total cost is given by C=xc. find the total cost, find the minimum cost, and lastly, if each toy can be sold for $20, at what quantity will it be given a break-even?
I don't understand this question so I hope u could explain it to me.

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properties:
f is differentiable everywhere
f(x+y)=f(x)f(y)
f(0) doesn't equal 0
f'(0) = 1
Show that f(0)=1
Show that f(x) > 0
Use the limit definition of a derivative to show that f'(x) = f(x) for all values of x

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a tilebased game,
2D rectangle tiles with a size of 5000X5000 pixels per rectangle.
I make every rectangle know the 4 neighbouring rectangles in the map so starting from one you can generate an essentially infinite map.
I want to move this map around instead of moving the player around, the player stays centered on screen and since the map moves under him it looks like he's the one doing the moving.
So I know the following things:
Width and height of a single section:
5000X5000 pixels
the x and y location of the center section can be a value anywhere from -5000,-5000 to 5000,5000
The visible screen real estate is 1920 X 1080 pixels big
0X,0Y always stars top left, bottom right is 5000X5000
What I need to end up with:
A percentage value of howmuch this specific section is visible on screen, "inside the rectangle that is the scfeen)

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A. 4x+1 over x^2-5
B. 4x+1 over x^2-5, x does not equal +/- square root of 5
C. x^2-5 over 4x+1, x does not equal -1/4
D. x^2-5 over 4x+1

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el of the flow in the coating zone x ∈ [0; L], y ∈ [0; h(x)] a lubrication approximation will be developed. If λ >> 1, and if α is close to, but less than 1 the coating zone appears plane. Use the equation of continuity to show by an order of magnitude estimate that |vy| << |vx|. Then state assumptions on flow and pressure field that reduce the Navier- Stokes equation locally to a form, from which the following approximate expression for the x-velocity in the slot for x ∈ [0; L] can be derived:
Se the attached.

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56.I dont understad these questions: For which value(s) of a does the curve y = x^2 + ...

ave a horizontal tangent line at x = 1 ? (Without using differentiation rules)
For each statement, explain why it must be true, or use an example to show that it can be false.
a)If y = f ( x ) has a horizontal tangent line at x = 1 then y = g ( x ) , where g ( x ) = f ( x − 1 ) + 1 , has a horizontal tangent line at x = 2 .
b)A tangent line always has exactly one point in common with the graph of the function.

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ike splitting into x and y

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ch as 44,46,48,50,52,54,56 ..
1) determine what percent of the students are taller than 55 inches?
2) determine cut off value for the shortest 25% ? (round your answer for 2 to 4 decimals) ?

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ly by factor of 3, reflect across x axis, translate right 2 units, translate down 3 units. I need to write an equation.

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r3> CreateCircle(float zValue, int points)
{
var vertices = new List();
float degrees = 0f;
float degreeChange = twoPi / points;
for (var i = 0; i < points; i++)
{
// Adding to degrees changes the rotation of the circles - adding nothing creates a straight tube
float x = (2f * Mathf.PI) * Mathf.Sin(degrees);
float y = (2f * Mathf.PI) * Mathf.Sin(degrees);
//Mathf.Sin(degrees + (GlobalVariables.tunnelDepth/2))
//Mathf.Cos(degrees + (GlobalVariables.tunnelDepth / 3))
vertices.Add(new Vector3(x, y, zValue));
degrees += degreeChange;
}
return vertices;
}

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62.Let's say that I have a data set of every time a certain person has coughed since the beginning of ...

his year. I'm looking for a formula that will tell me the probability that a person will cough x number of times in a given week.
I started with the Poisson Distribution, but Poisson doesn't seem to take into account standard deviation. To calculate the probability with Poisson, only the mean, expected value, and test value are needed, meaning the variance/standard deviation of the data could vary widely, and you'd still get the same probability distribution. For example, if someone coughed exactly 5 times everyday, you'd get the same probability distribution if this person alternated coughing 0 times one day, 10 times the next, 0 times the next day, 10 times the next, and so on.
Does my question make sense? Thanks for your help.

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics