Question 1

The slope of the line Y = 4 is 1.

Accepted Answer

A) True 
 B)False

Question 2

Total revenue is governed by the equation TR = 3   =   + 7.Maximum revenue occurs when X =   .

Accepted Answer

A) True 
 B)False

Question 3

The second derivative of 7x4 + 6x3 + 5x + 3 is

Accepted Answer

A) 7x3 + 6x2 + 5. 
B) 28x3 + 18x2 + 5x + 3. 
C) 28x3 + 18x2 + 5. 
D) 84x2 + 36x. 
A) 7x3 + 6x2 + 5. 
B) 28x3 + 18x2 + 5x + 3. 
C) 28x3 + 18x2 + 5. 
D) 84x2 + 36x.

Question 4

Find the slope of the line Y = 3   +   + 17 when X = 10.

Accepted Answer

The answer of Find the slope of the line Y...

Question 5

The slope of a nonlinear function varies depending on the point along the line at which it is measured.

Accepted Answer

A) True 
 B)False

Question 6

The slope of the line Y = 3   + 2x + 1 at the point (2,17)is 12.

Accepted Answer

A) True 
 B)False

Question 7

The critical points for the function y = 8   - 16   - 8x - 12 are at

Accepted Answer

A)    . 
B)    . 
C)    . 
D)    . 
A)    . 
B)    . 
C)    . 
D)    .

Question 8

The critical point for the function y = 7x2 - 7x + 4 lies at

Accepted Answer

A) x = -1. 
B) x = 1. 
C) x = -1/2. 
D) x = 1/2. 
A) x = -1. 
B) x = 1. 
C) x = -1/2. 
D) x = 1/2.

Question 9

A zero value for the derivative of a nonlinear function always indicates the location of a maximum or minimum.

Accepted Answer

A) True 
 B)False

Question 10

The derivative of 19x4 + 2x3 + 5x2 + 1x + 9 is

Accepted Answer

A) 19x3 + 2x2 + 5x + 1. 
B) 4x3 + 3x2 + 2x + 1. 
C) 12x2 + 6x + 9. 
D) 76x3 + 6x2 + 10x + 1. 
A) 19x3 + 2x2 + 5x + 1. 
B) 4x3 + 3x2 + 2x + 1. 
C) 12x2 + 6x + 9. 
D) 76x3 + 6x2 + 10x + 1.

Question 11

Where are the critical points for the function y = 8   - 16   - 8x -12? What is the maximum of this function?

Accepted Answer

Critical points are @#IMG-DLM& , which a

Question 12

The slope of the line Y = 3   +   + 17 when X = 3 is

Accepted Answer

A) 16. 
B) 17.78. 
C) 44.67. 
D) 46.67. 
A) 16. 
B) 17.78. 
C) 44.67. 
D) 46.67.

Question 13

To determine the slope of a nonlinear function at a point, we must find the slope of a line tangent to the point.

Accepted Answer

A) True 
 B)False

Question 14

The Dow Jones index reached dizzy heights of 22,000 but sadly the market was now in free fall thanks to an ill-phrased tweet.Free fall is governed by the equation S =     +   t +   where S0 is the initial position, in this case 22,000, and V0 is the initial velocity, in this case 0.Acceleration due to gravity is represented in the equation with the letter a, which has the value a = 32.2.The time in seconds is given by the letter t.How fast is the Dow Jones index dropping one minute after the tweet?

Accepted Answer

A) 1932 points/second 
B) 32.2 points/second 
C) 57960 points/second 
D) 1760 points/second 
A) 1932 points/second 
B) 32.2 points/second 
C) 57960 points/second 
D) 1760 points/second

Question 15

Find the point at which the following function is a maximum:   - 2x2 + 3x + 6.

Accepted Answer

A) x = 3 
B) x = 1 
C) x = 0 
D) x = -3 
A) x = 3 
B) x = 1 
C) x = 0 
D) x = -3

Question 16

The second derivative tells about the slope of the first derivative.

Accepted Answer

A) True 
 B)False

Question 17

Find the point at which the following function is a minimum: y =   - 2x2 + 3x + 6.

Accepted Answer

A) x = 3 
B) x = 1 
C) x = 0 
D) x = -3 
A) x = 3 
B) x = 1 
C) x = 0 
D) x = -3

Question 18

Profit for the Dew Drop Inn Country Diner is given by p = -0.1q2 + 1.80q + 100, where p is profit and q is the number of customers.What number of customers maximizes profit?

Accepted Answer

A) 100 
B) 900 
C) 300 
D) 9 
A) 100 
B) 900 
C) 300 
D) 9

Question 19

The slope of the line Y = 4X-3 is

Accepted Answer

A) 4. 
B) 3. 
C) -4. 
D) -3. 
A) 4. 
B) 3. 
C) -4. 
D) -3.

Exam 21: Calculus-Based Optimization

The slope of the line Y = 4 is 1.

Total revenue is governed by the equation TR = 3 = + 7.Maximum revenue occurs when X = .

The second derivative of 7x4 + 6x3 + 5x + 3 is

Find the slope of the line Y = 3 + + 17 when X = 10.

The slope of a nonlinear function varies depending on the point along the line at which it is measured.

The slope of the line Y = 3 + 2x + 1 at the point (2,17)is 12.

The critical points for the function y = 8 - 16 - 8x - 12 are at

The critical point for the function y = 7x2 - 7x + 4 lies at

A zero value for the derivative of a nonlinear function always indicates the location of a maximum or minimum.

The derivative of 19x4 + 2x3 + 5x2 + 1x + 9 is

Where are the critical points for the function y = 8 - 16 - 8x -12? What is the maximum of this function?

The slope of the line Y = 3 + + 17 when X = 3 is

To determine the slope of a nonlinear function at a point, we must find the slope of a line tangent to the point.

Find the point at which the following function is a maximum: - 2x2 + 3x + 6.

The second derivative tells about the slope of the first derivative.

Find the point at which the following function is a minimum: y = - 2x2 + 3x + 6.

Profit for the Dew Drop Inn Country Diner is given by p = -0.1q2 + 1.80q + 100, where p is profit and q is the number of customers.What number of customers maximizes profit?

The slope of the line Y = 4X-3 is

Introduction to Quantitative Analysis

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Filters

The second derivative of 7x⁴ + 6x³ + 5x + 3 is

The critical point for the function y = 7x² - 7x + 4 lies at

The derivative of 19x⁴ + 2x³ + 5x² + 1x + 9 is

Find the point at which the following function is a maximum: - 2x² + 3x + 6.

Find the point at which the following function is a minimum: y = - 2x² + 3x + 6.

Profit for the Dew Drop Inn Country Diner is given by p = -0.1q₂+ 1.80q + 100, where p is profit and q is the number of customers.What number of customers maximizes profit?