(a) To calculate: If the partial derivative f x ( − 2 , − 1 ) is positive or negative. If the function is defined as f ( x , y ) .

Question

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Answer 1

Question

Chapter 8.3, Problem 15P

To determine

(a)

To calculate:

If the partial derivative fx(−2,−1) is positive or negative. If the function is defined as f(x,y).

To determine

(b)

To calculate:

If the partial derivative fy(2,1) is positive or negative. If the function is defined as f(x,y).

To determine

(c)

To calculate:

If the partial derivative fx(2,1) is positive or negative. If the function is defined as f(x,y).

To determine

(d)

To calculate:

If the partial derivative fy(0,3) is positive or negative. If the function is defined as f(x,y).

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The total profit P(X) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x+6x² + 63x+1) (0≤x≤10). a) Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit? a) The number of units that should be sold in order to maximize the total profit is ☐ (Simplify your answer.)

Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x) = -x3+3x² +24x-4 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. OA. There are no relative maxima. The function has a relative minimum of at x= (Use a comma to separate answers as needed.) OB. The function has relative minimum of at x= and a relative maximum of at x= (Use a comma to separate answers as needed.) OC. There are no relative minima. The function has a relative maximum of (Use a comma to separate answers as needed.) OD. There are no relative extrema. at x=

Answer 2

Question

Chapter 8.3, Problem 15P

To determine

(a)

To calculate:

If the partial derivative fx(−2,−1) is positive or negative. If the function is defined as f(x,y).

To determine

(b)

To calculate:

If the partial derivative fy(2,1) is positive or negative. If the function is defined as f(x,y).

To determine

(c)

To calculate:

If the partial derivative fx(2,1) is positive or negative. If the function is defined as f(x,y).

To determine

(d)

To calculate:

If the partial derivative fy(0,3) is positive or negative. If the function is defined as f(x,y).

Expert Solution & Answer

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Answer 3

Question

Chapter 8.3, Problem 15P

To determine

(a)

To calculate:

If the partial derivative fx(−2,−1) is positive or negative. If the function is defined as f(x,y).

To determine

(b)

To calculate:

If the partial derivative fy(2,1) is positive or negative. If the function is defined as f(x,y).

To determine

(c)

To calculate:

If the partial derivative fx(2,1) is positive or negative. If the function is defined as f(x,y).

To determine

(d)

To calculate:

If the partial derivative fy(0,3) is positive or negative. If the function is defined as f(x,y).

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 8.3, Problem 15P

To determine

(a)

To calculate:

If the partial derivative fx(−2,−1) is positive or negative. If the function is defined as f(x,y).

To determine

(b)

To calculate:

If the partial derivative fy(2,1) is positive or negative. If the function is defined as f(x,y).

To determine

(c)

To calculate:

If the partial derivative fx(2,1) is positive or negative. If the function is defined as f(x,y).

To determine

(d)

To calculate:

If the partial derivative fy(0,3) is positive or negative. If the function is defined as f(x,y).

Expert Solution & Answer

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Answer 5

Chapter 8.3, Problem 15P

To determine

(a)

To calculate:

If the partial derivative fx(−2,−1) is positive or negative. If the function is defined as f(x,y).

To determine

(b)

To calculate:

If the partial derivative fy(2,1) is positive or negative. If the function is defined as f(x,y).

To determine

(c)

To calculate:

If the partial derivative fx(2,1) is positive or negative. If the function is defined as f(x,y).

To determine

(d)

To calculate:

If the partial derivative fy(0,3) is positive or negative. If the function is defined as f(x,y).

Answer 6

Chapter 8.3, Problem 15P

To determine

(a)

To calculate:

If the partial derivative fx(−2,−1) is positive or negative. If the function is defined as f(x,y).

Answer 7

Chapter 8.3, Problem 15P

To determine

(a)

To calculate:

If the partial derivative fx(−2,−1) is positive or negative. If the function is defined as f(x,y).

Answer 8

To determine

(b)

To calculate:

If the partial derivative fy(2,1) is positive or negative. If the function is defined as f(x,y).

Answer 9

To determine

(b)

To calculate:

If the partial derivative fy(2,1) is positive or negative. If the function is defined as f(x,y).

Answer 10

To determine

(c)

To calculate:

If the partial derivative fx(2,1) is positive or negative. If the function is defined as f(x,y).

Answer 11

To determine

(c)

To calculate:

If the partial derivative fx(2,1) is positive or negative. If the function is defined as f(x,y).

Answer 12

To determine

(d)

To calculate:

If the partial derivative fy(0,3) is positive or negative. If the function is defined as f(x,y).

Answer 13

To determine

(d)

To calculate:

If the partial derivative fy(0,3) is positive or negative. If the function is defined as f(x,y).

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 8.1 - Prob. 1P Ch. 8.1 - Prob. 2P Ch. 8.1 - Prob. 3P Ch. 8.1 - Prob. 4P Ch. 8.1 - Prob. 5P Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - Prob. 8P Ch. 8.1 - Prob. 9P Ch. 8.1 - Prob. 10P

(a) To calculate: If the partial derivative f x ( − 2 , − 1 ) is positive or negative. If the function is defined as f ( x , y ) .

Solution Summary: The author calculates whether the partial derivative f_x(-2,-1) is positive or negative.

(a)

To calculate:

If the partial derivative fx(−2,−1) is positive or negative. If the function is defined as f(x,y).

(b)

To calculate:

If the partial derivative fy(2,1) is positive or negative. If the function is defined as f(x,y).

(c)

To calculate:

If the partial derivative fx(2,1) is positive or negative. If the function is defined as f(x,y).

(d)

To calculate:

If the partial derivative fy(0,3) is positive or negative. If the function is defined as f(x,y).

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Chapter 8 Solutions

(a) To calculate: If the partial derivative f x ( − 2 , − 1 ) is positive or negative. If the function is defined as f ( x , y ) .

Solution Summary: The author calculates whether the partial derivative f_x(-2,-1) is positive or negative.

(a) To calculate: If the partial derivative fx(−2,−1) is positive or negative. If the function is defined as f(x,y).

(b) To calculate: If the partial derivative fy(2,1) is positive or negative. If the function is defined as f(x,y).

(c) To calculate: If the partial derivative fx(2,1) is positive or negative. If the function is defined as f(x,y).

(d) To calculate: If the partial derivative fy(0,3) is positive or negative. If the function is defined as f(x,y).

Want to see the full answer?

Chapter 8 Solutions

(a)

To calculate:

If the partial derivative fx(−2,−1) is positive or negative. If the function is defined as f(x,y).

(b)

To calculate:

If the partial derivative fy(2,1) is positive or negative. If the function is defined as f(x,y).

(c)

To calculate:

If the partial derivative fx(2,1) is positive or negative. If the function is defined as f(x,y).

(d)

To calculate:

If the partial derivative fy(0,3) is positive or negative. If the function is defined as f(x,y).