Question 1

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 2

Evaluate

Accepted Answer

The answer of Evaluate  ...

Question 3

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 4

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 5

Find the displacement of a particle if v(t) = t7; [-3, 0].

Accepted Answer

A)  819.125 
B)  -312.428 
C)  6,561 
D)  -820.125 
E)  -2,187 
A)  819.125 
B)  -312.428 
C)  6,561 
D)  -820.125 
E)  -2,187

Question 6

Use the Fundamental Theorem of Calculus.   =

Accepted Answer

A)  0.203 
B)  5.739 
C)  0.609 
D)  5.130 
E)  10.869 
A)  0.203 
B)  5.739 
C)  0.609 
D)  5.130 
E)  10.869

Question 7

Express 5 + 25 + 125 + 625 in sigma notation.

Accepted Answer

The answer of Express 5 + 25 + 125 +...

Question 8

Answer true or false. The area between the curve y = x3 -1 and the x-axis on [0, 6] is given by   .

Accepted Answer

A) True 
 B)False

Question 9

Answer true or false.

Accepted Answer

A) True 
 B)False

Question 10

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 11

Express in sigma notation, but do not evaluate. 4 + 9 + 16 + 25 + 36 + 49 + 64

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

Express   in sigma notation.

Accepted Answer

The answer of Express   in sigma notation....

Question 13

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 14

A particle is moving so that its velocity, v(t) = t2 - t - 6 for 0 $\le$  t F$\le$  4. Find the displacement of the particle.

Accepted Answer

The answer of A particle is moving so that its...

Question 15

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 16

A particle moves along with a velocity of v(t) = t2 - 2t m/s along an s-axis. Find the displacement of the particle during the period 0 $\le$  t $\le$  7.

Accepted Answer

The answer of A particle moves along with a velocity...

Question 17

Find the average value of f(x) = x8 over the interval [-2, 2].

Accepted Answer

A)    
B)    
C)  256 
D)    
E)  0 
A)    
B)    
C)  256 
D)    
E)  0

Question 18

Find   .

Accepted Answer

The answer of Find   ....

Question 19

Given f(x) = x4 , [1.5, 3.5]. Use the rectangle method to approximate the area using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

Accepted Answer

Question 20

Estimate the area under the curve   by dividing the interval [1, 3] into 4 subintervals of equal length and constructing rectangles over the intervals. (Assume the graph goes through the midpoint of each rectangle.)

Accepted Answer

The answer of Estimate the area under the curve ...

Evaluate .

Evaluate

Evaluate .

Evaluate .

Find the displacement of a particle if v(t) = t⁷; [-3, 0].

Use the Fundamental Theorem of Calculus. =

Express 5 + 25 + 125 + 625 in sigma notation.

Answer true or false. The area between the curve y = x³ -1 and the x-axis on [0, 6] is given by .

Answer true or false.

Evaluate .

Express in sigma notation, but do not evaluate. 4 + 9 + 16 + 25 + 36 + 49 + 64

Express in sigma notation.

Evaluate .

A particle is moving so that its velocity, v(t) = t² - t - 6 for 0 $\le$ t F $\le$ 4. Find the displacement of the particle.

Evaluate .

A particle moves along with a velocity of v(t) = t² - 2t m/s along an s-axis. Find the displacement of the particle during the period 0 $\le$ t $\le$ 7.

Find the average value of f(x) = x⁸ over the interval [-2, 2].

Find .

Given f(x) = x⁴ , [1.5, 3.5]. Use the rectangle method to approximate the area using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

Estimate the area under the curve by dividing the interval [1, 3] into 4 subintervals of equal length and constructing rectangles over the intervals. (Assume the graph goes through the midpoint of each rectangle.)

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

Evaluate .

Evaluate .

Find the displacement of a particle if v(t) = t7; [-3, 0].

Use the Fundamental Theorem of Calculus. =

Express 5 + 25 + 125 + 625 in sigma notation.

Answer true or false. The area between the curve y = x3 -1 and the x-axis on [0, 6] is given by .

Answer true or false.

Evaluate .

Express in sigma notation, but do not evaluate. 4 + 9 + 16 + 25 + 36 + 49 + 64

Express in sigma notation.

Evaluate .

A particle is moving so that its velocity, v(t) = t2 - t - 6 for 0 ≤\le≤ t F ≤\le≤ 4. Find the displacement of the particle.

Evaluate .

A particle moves along with a velocity of v(t) = t2 - 2t m/s along an s-axis. Find the displacement of the particle during the period 0 ≤\le≤ t ≤\le≤ 7.

Find the average value of f(x) = x8 over the interval [-2, 2].

Find .

Given f(x) = x4 , [1.5, 3.5]. Use the rectangle method to approximate the area using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

Estimate the area under the curve by dividing the interval [1, 3] into 4 subintervals of equal length and constructing rectangles over the intervals. (Assume the graph goes through the midpoint of each rectangle.)

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 displacement of a particle if v(t) = t⁷; [-3, 0].

Answer true or false. The area between the curve y = x³ -1 and the x-axis on [0, 6] is given by .

A particle is moving so that its velocity, v(t) = t² - t - 6 for 0 $\le$ t F $\le$ 4. Find the displacement of the particle.

A particle moves along with a velocity of v(t) = t² - 2t m/s along an s-axis. Find the displacement of the particle during the period 0 $\le$ t $\le$ 7.

Find the average value of f(x) = x⁸ over the interval [-2, 2].

Given f(x) = x⁴ , [1.5, 3.5]. Use the rectangle method to approximate the area using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)