Question 1

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 2

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 3

Given f(x) =4x. Use the rectangle method to approximate the area on the range [0, 5] using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

Accepted Answer

The answer of Given f(x) =4x. Use the rectangle method...

Question 4

Answer true or false. If   , then   .

Accepted Answer

A) True 
 B)False

Question 5

Evaluate

Accepted Answer

The answer of Evaluate  ...

Question 6

A projectile is fired downward from a height of 140 feet and reaches the ground in 5 seconds. What was its initial velocity?

Accepted Answer

s = 140 when t = 0, so s(t) =

Question 7

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 8

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 9

Find the average value of f(x) = e4x over the interval [1, 3]. Approximate value to two decimal places.

Accepted Answer

A)  20,337.52 
B)  40,675.05 
C)  20,344.35 
D)  20,351.17 
E)  6.82 
A)  20,337.52 
B)  40,675.05 
C)  20,344.35 
D)  20,351.17 
E)  6.82

Question 10

A particle moves with a velocity of v(t) meters per second along an s-axis. Find the displacement that the particle travels during the period 0 $\le$ t $\le$ 3. v(t) = e3t .

Accepted Answer

A)  2,700.695 
B)  2,701.028 
C)  1 
D)  2,701.361 
E)  8,102.084 
A)  2,700.695 
B)  2,701.028 
C)  1 
D)  2,701.361 
E)  8,102.084

Question 11

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 12

Answer true or false. For $\int$6x5(x6 + 4)5 dx a good choice for u is x6 + 4.

Accepted Answer

A) True 
 B)False

Question 13

Find the average value of f(x) = x9 over the interval [-2, 2]. Approximate value to three decimal places.

Accepted Answer

A)  25.6 
B)  8 
C)  102.4 
D)  32 
E)  0 
A)  25.6 
B)  8 
C)  102.4 
D)  32 
E)  0

Question 14

Find F '(x) if   .

Accepted Answer

The answer of Find F '(x) if   ....

Question 15

Answer true or false. If   , then   .

Accepted Answer

A) True 
 B)False

Question 16

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 17

For $\int$ x3(x4 + 5)4/5 dx what would be a good choice for u?

Accepted Answer

u = x<sup>

Question 18

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 19

Answer true or false.   if u = x - 1

Accepted Answer

A) True 
 B)False

Question 20

Find the derivative.   .

Accepted Answer

The answer of Find the derivative.   ....

Evaluate .

Evaluate .

Given f(x) =4x. Use the rectangle method to approximate the area on the range [0, 5] using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

Answer true or false. If , then .

Evaluate

A projectile is fired downward from a height of 140 feet and reaches the ground in 5 seconds. What was its initial velocity?

Evaluate .

Evaluate .

Find the average value of f(x) = e⁴^x over the interval [1, 3]. Approximate value to two decimal places.

A particle moves with a velocity of v(t) meters per second along an s-axis. Find the displacement that the particle travels during the period 0 $\le$ t $\le$ 3. v(t) = e³^t .

Evaluate .

Answer true or false. For $\int$ 6x⁵(x⁶ + 4)⁵ dx a good choice for u is x⁶ + 4.

Find the average value of f(x) = x⁹ over the interval [-2, 2]. Approximate value to three decimal places.

Find F '(x) if .

Answer true or false. If , then .

Evaluate .

For $\int$ x³(x⁴ + 5)⁴^/⁵ dx what would be a good choice for u?

Evaluate .

Answer true or false. if u = x - 1

Find the derivative. .

Limits and Continuity

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

Exam 5: Integration

Evaluate .

Evaluate .

Given f(x) =4x. Use the rectangle method to approximate the area on the range [0, 5] using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

Answer true or false. If , then .

Evaluate

A projectile is fired downward from a height of 140 feet and reaches the ground in 5 seconds. What was its initial velocity?

Evaluate .

Evaluate .

Find the average value of f(x) = e4x over the interval [1, 3]. Approximate value to two decimal places.

A particle moves with a velocity of v(t) meters per second along an s-axis. Find the displacement that the particle travels during the period 0 ≤\le≤ t ≤\le≤ 3. v(t) = e3t .

Evaluate .

Answer true or false. For ∫\int∫ 6x5(x6 + 4)5 dx a good choice for u is x6 + 4.

Find the average value of f(x) = x9 over the interval [-2, 2]. Approximate value to three decimal places.

Find F '(x) if .

Answer true or false. If , then .

Evaluate .

For ∫\int∫ x3(x4 + 5)4/5 dx what would be a good choice for u?

Evaluate .

Answer true or false. if u = x - 1

Find the derivative. .

Limits and Continuity

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

Find the average value of f(x) = e⁴^x over the interval [1, 3]. Approximate value to two decimal places.

A particle moves with a velocity of v(t) meters per second along an s-axis. Find the displacement that the particle travels during the period 0 $\le$ t $\le$ 3. v(t) = e³^t .

Answer true or false. For $\int$ 6x⁵(x⁶ + 4)⁵ dx a good choice for u is x⁶ + 4.

Find the average value of f(x) = x⁹ over the interval [-2, 2]. Approximate value to three decimal places.

For $\int$ x³(x⁴ + 5)⁴^/⁵ dx what would be a good choice for u?