Question 1

Evaluate  .

Accepted Answer

The answer of Evaluate  ....

Question 2

Set up the integral to find the area between  and the x-axis on [-5, -3] .

Accepted Answer

The answer of Set up the integral to find the...

Question 3

Answer true or false.

Accepted Answer

A) True 
 B)False

Question 4

Write the expression in sigma notation. 2 - 4 + 6 - 8 + 10 - 12 + 14.

Accepted Answer

The answer of Write the expression in sigma notation. 2...

Question 5

Find the average value of  for  .

Accepted Answer

The answer of Find the average value of  for...

Question 6

Evaluate  .

Accepted Answer

The answer of Evaluate  ....

Question 7

Answer true or false. $\int$cos 5x dx can be easily solved by letting u = cos x.

Accepted Answer

A) True 
 B)False

Question 8

Use a simple area formula from geometry to find the area under function A(x) that gives the area under the function f(x) = 4x + 6 on the interval [a, x] = [-2, x].

Accepted Answer

The answer of Use a simple area formula from geometry...

Question 9

Find the average value of f(x) = (x + 1)⁴ over [-1, 5] and find a point x* in [-1, 5] such that .

Accepted Answer

The answer of Find the average value of f(x) =...

Question 10

Answer true or false.

Accepted Answer

A) True 
 B)False

Question 11

Express 1 + 8 + 64 + 512 + 4,096 + 32,768 in sigma notation with k = 3 as the lower limit.

Accepted Answer

The answer of Express 1 + 8 + 64 +...

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

Find the average value of f(x) = 5x + 5 over [0, 4].

Accepted Answer

The answer of Find the average value of f(x) =...

Question 15

Evaluate  .

Accepted Answer

The answer of Evaluate  ....

Question 16

Express  as a sum multiplied by a constant.

Accepted Answer

The answer of Express  as a sum multiplied by...

Question 17

Write the expression in sigma notation. 7 + 7x + 7x² + 7x³ + 7x⁴.

Accepted Answer

The answer of Write the expression in sigma notation. 7...

Question 18

Find the average value of  over the interval [1, 3]. Approximate value to three decimal places.

Accepted Answer

The answer of Find the average value of  over...

Question 19

Given f(x) = 5x- 7 , [2, 5]. Use the rectangle method to approximate the area using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

Accepted Answer

The answer of Given f(x) = 5x- 7 , [2,...

Question 20

Express in sigma notation, but do not evaluate. 3 + 4 + 5 + 6

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 5: Integration

Evaluate .

Set up the integral to find the area between and the x-axis on [-5, -3] .

Answer true or false.

Write the expression in sigma notation. 2 - 4 + 6 - 8 + 10 - 12 + 14.

Find the average value of for .

Evaluate .

Answer true or false. $\int$ cos ⁵x dx can be easily solved by letting u = cos x.

Use a simple area formula from geometry to find the area under function A(x) that gives the area under the function f(x) = 4x + 6 on the interval [a, x] = [-2, x].

Find the average value of f(x) = (x + 1)⁴ over [-1, 5] and find a point x* in [-1, 5] such that .

Answer true or false.

Express 1 + 8 + 64 + 512 + 4,096 + 32,768 in sigma notation with k = 3 as the lower limit.

Express in sigma notation.

Evaluate .

Find the average value of f(x) = 5x + 5 over [0, 4].

Evaluate .

Express as a sum multiplied by a constant.

Write the expression in sigma notation. 7 + 7x + 7x² + 7x³ + 7x⁴.

Find the average value of over the interval [1, 3]. Approximate value to three decimal places.

Given f(x) = 5x- 7 , [2, 5]. Use the rectangle method to approximate the area using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

Express in sigma notation, but do not evaluate. 3 + 4 + 5 + 6

Exam 5: Integration

Evaluate .

Set up the integral to find the area between and the x-axis on [-5, -3] .

Answer true or false.

Write the expression in sigma notation. 2 - 4 + 6 - 8 + 10 - 12 + 14.

Find the average value of for .

Evaluate .

Answer true or false. ∫\int∫ cos 5x dx can be easily solved by letting u = cos x.

Use a simple area formula from geometry to find the area under function A(x) that gives the area under the function f(x) = 4x + 6 on the interval [a, x] = [-2, x].

Find the average value of f(x) = (x + 1)4 over [-1, 5] and find a point x* in [-1, 5] such that .

Answer true or false.

Express 1 + 8 + 64 + 512 + 4,096 + 32,768 in sigma notation with k = 3 as the lower limit.

Express in sigma notation.

Evaluate .

Find the average value of f(x) = 5x + 5 over [0, 4].

Evaluate .

Express as a sum multiplied by a constant.

Write the expression in sigma notation. 7 + 7x + 7x2 + 7x3 + 7x4.

Find the average value of over the interval [1, 3]. Approximate value to three decimal places.

Given f(x) = 5x- 7 , [2, 5]. Use the rectangle method to approximate the area using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

Express in sigma notation, but do not evaluate. 3 + 4 + 5 + 6

Answer true or false. $\int$ cos ⁵x dx can be easily solved by letting u = cos x.

Find the average value of f(x) = (x + 1)⁴ over [-1, 5] and find a point x* in [-1, 5] such that .

Write the expression in sigma notation. 7 + 7x + 7x² + 7x³ + 7x⁴.