m Consider an object moving along a line with the given velocity v. Assume t is time measured in seconds and velocities have units of. Complete parts a through c. a. Determine when the motion is in the positive direction and when it is in the negative direction. b. Find the displacement over the given interval. c. Find the distance traveled over the given interval. v(t) 3t2-30t +63; [0,8] a. When is the motion in the positive direction? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. For t-values that satisfy (Use a comma to separate answers as needed. Type your answers in interval notation.) O B. The motion is never in the positive direction

Q: Suppose that a particle has been shot into the air in such a way that the rate at which its height i...

A: v = 320 - 32tIf h represents the height of the particle at any time t, then:v = dh / dt = 320 - 2t

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A: The function is defined as 

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A: The given function is f(x,y)=e-y in the interval x belongs to [0,8] and y belongs to [0,ln2]

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A: Given information:The line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the...

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A: The given differential equation is ,2x4 +4x3 y″−6(lnx)y‴=−3x3 −2x5 y(4) +7(lnx)y′. The order of the ...

Q: How can I get the result? Which is the result?

A: The definite integral is given by,

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A: We'll use the rectangular coordinate to the polar coordinate formula with x=-5 and y=5

Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

Q: Find the equation of the tangent to (x2+/ 5x2-Уг at the point (1,1). 8.

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A: Given function is: 

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A: Given:The integral is 

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A: Given that,

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A: I have made use of the diagram in the question and added additional labels. Please see the white boa...

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A: The given differential equation is, y′=5ex −6x3 +4x.

Q: How can I get the result? Which is the result?

A: We have to find value of cosy.Question is given below:

Q: how do i get number 3

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A: (a)The function is f(x) = sin4(4x5).

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A: The power series is given as

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A: The given Lorenz function is,

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A: From the Divergence theorem, for a positively oriented boundary surface (outward Normal) of region E...

Q: +2 2 1

A: Consider the integral,

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Q: :)

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A: The given function is,

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A: To calculate the velocity from the given data 

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A: To sketch the graph of given function :

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Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(3x + 3)−1 − 1000 where x i...

A: The revenue from the sale of a product is, in dollars,R = 1500x + 3000(3x + 3)−1 − 1000where x is th...

Q: Suppose that the demand for a product is given by  p= 1/2ln (5000-q/q+1) where p is in hundreds of d...

A: The elasticity of demand when the quantity demanded (q) is 2 and the price (p) is 3.71 hundreds of d...

Q: Find the point on the plane 4x+5y+x=11 that is nearest to (2,0,1). What are the values for x, y, and...

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Q: How can I get the result?

A: We used a calculator to find the values for the table.  And rounded each value to 4 decimal places. ...

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A: Obtain curl F as follows.

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A: Consider the function:

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A: First, we write it in form of Bernoulli Differential equation. 

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Q: I need help for this.

A: Let S be the sum of the series we have to find. Hence, S will be as shown on the white board.

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Q: How can I get the result? Which is the result?

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Q: Find the area of the region described. -4x and xIn 3 The region bounded by y e. ye X The area of the...

A: We first draw a rough sketch of y=e^x, y=e^-4x and x=ln 3And find the region bounded by them.

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.