Question 1

A divided field is to be constructed with 2720 feet of fence as shown.
For what value of x will the area be a maximum?

Accepted Answer

The answer of A divided field is to be constructed...

Question 2

Approximate by applying Newton's Method to the equation x³ -29 = 0. Use 3 for your initial value and calculate five iterations.

Accepted Answer

The answer of Approximate  by applying Newton's Method to...

Question 3

Answer true or false. Every function has an absolute maximum and an absolute minimum if its domain is restricted to where f is defined on an interval [-a, a], where a is finite and f is continuous on [-a, a].

Accepted Answer

A) True 
 B)False

Question 4

Given  . Find any extrema.

Accepted Answer

The answer of Given  . Find any extrema....

Question 5

Answer true or false. An object thrown upward reaches a height of s(t) = -9.8t2 + 49t. The object is highest at t = 5, where t is in seconds?

Accepted Answer

A) True 
 B)False

Question 6

Approximate by applying Newton's Method to the equation x³ - 20 = 0.

Accepted Answer

The answer of Approximate  by applying Newton's Method to...

Question 7

Answer true or false. f(x) =  has a critical point.

Accepted Answer

A) True 
 B)False

Question 8

Use a graphing utility to estimate the absolute minimum of f(x) = e ^x (ln x)⁴ on [1, 5].

Accepted Answer

The answer of Use a graphing utility to estimate the...

Question 9

Find the relative extreme values for f(x) = 2x³ - 12x² + 18x + 12 on the interval [-10, 10] and determine where those values occur.

Accepted Answer

The answer of Find the relative extreme values for f(x)...

Question 10

f(x) = x4 - 8x3 has

Accepted Answer

A)  a relative maximum at x = 6 and no relative minimum. 
B)  no relative maximum and a relative minimum at x = 6. 
C)  a relative maximum at x = 0 and a relative minimum at x = 6. 
D)  a relative maximum at x = 6 and a relative minimum at x = 0. 
E)  a relative maximum at x = 0 and no relative minimum.

Question 11

Find s when a = 0.

Accepted Answer

A)  48 
B)  -48 
C)  6 
D)  -6 
E)  0

Question 12

Use Newton's Method to find the largest solution of x5 - 5x4 + 4x3-x2 + 2x + 10 = 0.

Accepted Answer

A)  1.8235294 
B)  1.8038147 
C)  1.8035400 
D)  1.8035520 
E)  1.8035532

Question 13

s(t) = 5t - 4t3, t$\ge$0. The acceleration function is

Accepted Answer

A)  5 - 8t 
B)  8t 
C)  5 - 8t2 
D)  24t 
E)  5t - 4t

Question 14

Answer true or false. If the graph on the left is a position function, the graph on the right represents the corresponding velocity function.

Accepted Answer

A) True 
 B)False

Question 15

Find the value c such that the conclusion of Rolle's Theorem are satisfied for f(x) = 3x2 - 5 on [-2, 2].

Accepted Answer

A)  0 
B)  -1 
C)  1 
D)  0.5 
E)  -0.5

Question 16

Answer true or false. The rational function  has no vertical asymptote.

Accepted Answer

A) True 
 B)False

Exam 4: The Derivative in Graphing and Applications

A divided field is to be constructed with 2720 feet of fence as shown. For what value of x will the area be a maximum?

Approximate by applying Newton's Method to the equation x³ -29 = 0. Use 3 for your initial value and calculate five iterations.

Answer true or false. Every function has an absolute maximum and an absolute minimum if its domain is restricted to where f is defined on an interval [-a, a], where a is finite and f is continuous on [-a, a].

Given . Find any extrema.

Answer true or false. An object thrown upward reaches a height of s(t) = -9.8t² + 49t. The object is highest at t = 5, where t is in seconds?

Approximate by applying Newton's Method to the equation x³ - 20 = 0.

Answer true or false. f(x) = has a critical point.

Use a graphing utility to estimate the absolute minimum of f(x) = e ^x (ln x)⁴ on [1, 5].

Find the relative extreme values for f(x) = 2x³ - 12x² + 18x + 12 on the interval [-10, 10] and determine where those values occur.

f(x) = x⁴ - 8x³ has

Find s when a = 0.

Use Newton's Method to find the largest solution of x⁵ - 5x⁴ + 4x³-x² + 2x + 10 = 0.

s(t) = 5t - 4t³, t $\ge$ 0. The acceleration function is

Answer true or false. If the graph on the left is a position function, the graph on the right represents the corresponding velocity function.

Find the value c such that the conclusion of Rolle's Theorem are satisfied for f(x) = 3x² - 5 on [-2, 2].

Answer true or false. The rational function has no vertical asymptote.

Exam 4: The Derivative in Graphing and Applications

A divided field is to be constructed with 2720 feet of fence as shown. For what value of x will the area be a maximum?

Approximate by applying Newton's Method to the equation x3 -29 = 0. Use 3 for your initial value and calculate five iterations.

Answer true or false. Every function has an absolute maximum and an absolute minimum if its domain is restricted to where f is defined on an interval [-a, a], where a is finite and f is continuous on [-a, a].

Given . Find any extrema.

Answer true or false. An object thrown upward reaches a height of s(t) = -9.8t2 + 49t. The object is highest at t = 5, where t is in seconds?

Approximate by applying Newton's Method to the equation x3 - 20 = 0.

Answer true or false. f(x) = has a critical point.

Use a graphing utility to estimate the absolute minimum of f(x) = e x (ln x)4 on [1, 5].

Find the relative extreme values for f(x) = 2x3 - 12x2 + 18x + 12 on the interval [-10, 10] and determine where those values occur.

f(x) = x4 - 8x3 has

Find s when a = 0.

Use Newton's Method to find the largest solution of x5 - 5x4 + 4x3-x2 + 2x + 10 = 0.

s(t) = 5t - 4t3, t ≥\ge≥ 0. The acceleration function is

Answer true or false. If the graph on the left is a position function, the graph on the right represents the corresponding velocity function.

Find the value c such that the conclusion of Rolle's Theorem are satisfied for f(x) = 3x2 - 5 on [-2, 2].

Answer true or false. The rational function has no vertical asymptote.

Approximate by applying Newton's Method to the equation x³ -29 = 0. Use 3 for your initial value and calculate five iterations.

Answer true or false. An object thrown upward reaches a height of s(t) = -9.8t² + 49t. The object is highest at t = 5, where t is in seconds?

Approximate by applying Newton's Method to the equation x³ - 20 = 0.

Use a graphing utility to estimate the absolute minimum of f(x) = e ^x (ln x)⁴ on [1, 5].

Find the relative extreme values for f(x) = 2x³ - 12x² + 18x + 12 on the interval [-10, 10] and determine where those values occur.

f(x) = x⁴ - 8x³ has

Use Newton's Method to find the largest solution of x⁵ - 5x⁴ + 4x³-x² + 2x + 10 = 0.

s(t) = 5t - 4t³, t $\ge$ 0. The acceleration function is

Find the value c such that the conclusion of Rolle's Theorem are satisfied for f(x) = 3x² - 5 on [-2, 2].