The elasticity if the demand function is given by q = D ( x ) = 240 − 20 x .

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Answer 1

Question

Chapter CR, Problem 42E

(a)

To determine

To calculate: The elasticity if the demand function is given by q=D(x)=240−20x.

(b)

To determine

To calculate: The elasticity at x=$2 if the demand function is given by q=D(x)=240−20x.

(c)

To determine

To calculate: The elasticity at x=$9 if the demand function is given by q=D(x)=240−20x.

(d)

To determine

If the small increase in price at $2 will cause increase or decrease in revenue.

(e)

To determine

To calculate: The value of x for which revenue is maximum if the demand function is given by q=D(x)=240−20x.

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(7) (12 points) Let F(x, y, z) = (y, x+z cos yz, y cos yz). Ꮖ (a) (4 points) Show that V x F = 0. (b) (4 points) Find a potential f for the vector field F. (c) (4 points) Let S be a surface in R3 for which the Stokes' Theorem is valid. Use Stokes' Theorem to calculate the line integral Jos F.ds; as denotes the boundary of S. Explain your answer.

(3) (16 points) Consider z = uv, u = x+y, v=x-y. (a) (4 points) Express z in the form z = fog where g: R² R² and f: R² → R. (b) (4 points) Use the chain rule to calculate Vz = (2, 2). Show all intermediate steps otherwise no credit. (c) (4 points) Let S be the surface parametrized by T(x, y) = (x, y, ƒ (g(x, y)) (x, y) = R². Give a parametric description of the tangent plane to S at the point p = T(x, y). (d) (4 points) Calculate the second Taylor polynomial Q(x, y) (i.e. the quadratic approximation) of F = (fog) at a point (a, b). Verify that Q(x,y) F(a+x,b+y). =

(6) (8 points) Change the order of integration and evaluate (z +4ry)drdy . So S√ ² 0

Answer 2

Question

Chapter CR, Problem 42E

(a)

To determine

To calculate: The elasticity if the demand function is given by q=D(x)=240−20x.

(b)

To determine

To calculate: The elasticity at x=$2 if the demand function is given by q=D(x)=240−20x.

(c)

To determine

To calculate: The elasticity at x=$9 if the demand function is given by q=D(x)=240−20x.

(d)

To determine

If the small increase in price at $2 will cause increase or decrease in revenue.

(e)

To determine

To calculate: The value of x for which revenue is maximum if the demand function is given by q=D(x)=240−20x.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter CR, Problem 42E

(a)

To determine

To calculate: The elasticity if the demand function is given by q=D(x)=240−20x.

(b)

To determine

To calculate: The elasticity at x=$2 if the demand function is given by q=D(x)=240−20x.

(c)

To determine

To calculate: The elasticity at x=$9 if the demand function is given by q=D(x)=240−20x.

(d)

To determine

If the small increase in price at $2 will cause increase or decrease in revenue.

(e)

To determine

To calculate: The value of x for which revenue is maximum if the demand function is given by q=D(x)=240−20x.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter CR, Problem 42E

(a)

To determine

To calculate: The elasticity if the demand function is given by q=D(x)=240−20x.

(b)

To determine

To calculate: The elasticity at x=$2 if the demand function is given by q=D(x)=240−20x.

(c)

To determine

To calculate: The elasticity at x=$9 if the demand function is given by q=D(x)=240−20x.

(d)

To determine

If the small increase in price at $2 will cause increase or decrease in revenue.

(e)

To determine

To calculate: The value of x for which revenue is maximum if the demand function is given by q=D(x)=240−20x.

Expert Solution & Answer

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Answer 5

Chapter CR, Problem 42E

(a)

To determine

To calculate: The elasticity if the demand function is given by q=D(x)=240−20x.

(b)

To determine

To calculate: The elasticity at x=$2 if the demand function is given by q=D(x)=240−20x.

(c)

To determine

To calculate: The elasticity at x=$9 if the demand function is given by q=D(x)=240−20x.

(d)

To determine

If the small increase in price at $2 will cause increase or decrease in revenue.

(e)

To determine

To calculate: The value of x for which revenue is maximum if the demand function is given by q=D(x)=240−20x.

Answer 6

Chapter CR, Problem 42E

(a)

To determine

To calculate: The elasticity if the demand function is given by q=D(x)=240−20x.

Answer 7

Chapter CR, Problem 42E

(a)

To determine

To calculate: The elasticity if the demand function is given by q=D(x)=240−20x.

Answer 8

(b)

To determine

To calculate: The elasticity at x=$2 if the demand function is given by q=D(x)=240−20x.

Answer 9

(b)

To determine

To calculate: The elasticity at x=$2 if the demand function is given by q=D(x)=240−20x.

Answer 10

(c)

To determine

To calculate: The elasticity at x=$9 if the demand function is given by q=D(x)=240−20x.

Answer 11

(c)

To determine

To calculate: The elasticity at x=$9 if the demand function is given by q=D(x)=240−20x.

Answer 12

(d)

To determine

If the small increase in price at $2 will cause increase or decrease in revenue.

Answer 13

(d)

To determine

If the small increase in price at $2 will cause increase or decrease in revenue.

Answer 14

(e)

To determine

To calculate: The value of x for which revenue is maximum if the demand function is given by q=D(x)=240−20x.

Answer 15

(e)

To determine

To calculate: The value of x for which revenue is maximum if the demand function is given by q=D(x)=240−20x.

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

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Answer 19

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The elasticity if the demand function is given by q = D ( x ) = 240 − 20 x .

Solution Summary: The author explains how to calculate the required elasticity if the demand function is given by q=D(x)=240-20x.

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To calculate: The elasticity if the demand function is given by q=D(x)=240−20x.

To calculate: The elasticity at x=$2 if the demand function is given by q=D(x)=240−20x.

To calculate: The elasticity at x=$9 if the demand function is given by q=D(x)=240−20x.

If the small increase in price at $2 will cause increase or decrease in revenue.

To calculate: The value of x for which revenue is maximum if the demand function is given by q=D(x)=240−20x.

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