Question 1

Find the area of the region that lies under the given curve.Round theAnswer to three decimal places.

Accepted Answer

The answer of Find the area of the region that...

Question 2

Select the correct Answer: for each question.
-Find the integral.

Accepted Answer

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

Question 3

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 4

The marginal cost of manufacturing x yards of a certain fabric is   in dollars per yard.Find the increase in cost if the production level is raised from   yards to   yards.

Accepted Answer

The answer of The marginal cost of manufacturing x yards...

Question 5

Express the limit as a definite integral on the given interval.

Accepted Answer

The answer of Express the limit as a definite integral...

Question 6

Select the correct Answer: for each question.
-Evaluate the integral.

Accepted Answer

A)    
B)    
C)    
D)    
E) None of these 
A)    
B)    
C)    
D)    
E) None of these

Question 7

Find the area of the region that lies under the given curve.

Accepted Answer

The answer of Find the area of the region that...

Question 8

Find the integral.

Accepted Answer

The answer of Find the integral.  ...

Question 9

Select the correct Answer for each question.
-The acceleration function   and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.

Accepted Answer

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

Question 10

Find the integral.Select the correct Answer

Accepted Answer

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

Question 11

Evaluate the indefinite integral.Select the correct Answer

Accepted Answer

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

Question 12

Select the correct Answer: for each question.
-The velocity function (in meters per second) is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.

Accepted Answer

A) 36 m 
B) 72 m 
C) 100 m 
D) 64 m 
E) 68 m 
A) 36 m 
B) 72 m 
C) 100 m 
D) 64 m 
E) 68 m

Question 13

Select the correct Answer for each question.
-The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure) is given by the integral   Find the area.

Accepted Answer

A) 6.25 
B) 125 
C)    
D)    
E) 45.6 
A) 6.25 
B) 125 
C)    
D)    
E) 45.6

Question 14

Select the correct Answer for each question.
-

Accepted Answer

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

Question 15

If   find the Riemann sum with   correct to 3 decimal places, taking the sample points to be midpoints.

Accepted Answer

The answer of If   find the Riemann sum...

Question 16

Select the correct Answer: for each question.
-Find the derivative of the function.

Accepted Answer

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

Question 17

The graph of a function   on the interval [0, 8] is shown in the figure.Compute the Riemann sum for   on [0, 8] using four subintervals of equal length and choosing the evaluation points to be (a) the left endpoints, (b) the right endpoints, and (c) the midpoints of the subintervals.

Accepted Answer

The answer of The graph of a function  ...

Question 18

Find the indefinite integral.Select the correct Answer

Accepted Answer

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

Question 19

A table of values of an increasing function   is shown.Use the table to find an upper estimate of:

Accepted Answer

The answer of A table of values of an increasing...

Question 20

Select the correct Answer: for each question.
-Approximate the area under the curve   from   using   approximating rectangles of equal widths and right endpoints.The choices are rounded to the nearest hundredth.

Accepted Answer

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

Find the area of the region that lies under the given curve.Round theAnswer to three decimal places.

Select the correct Answer: for each question. -Find the integral.

Evaluate the integral.

The marginal cost of manufacturing x yards of a certain fabric is in dollars per yard.Find the increase in cost if the production level is raised from yards to yards.

Express the limit as a definite integral on the given interval.

Select the correct Answer: for each question. -Evaluate the integral.

Find the area of the region that lies under the given curve.

Find the integral.

Select the correct Answer for each question. -The acceleration function and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.

Find the integral.Select the correct Answer

Evaluate the indefinite integral.Select the correct Answer

Select the correct Answer: for each question. -The velocity function (in meters per second) is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.

Select the correct Answer for each question. -The area of the region that lies to the right of the y-axis and to the left of the parabola (the shaded region in the figure) is given by the integral Find the area.

Select the correct Answer for each question. -

If find the Riemann sum with correct to 3 decimal places, taking the sample points to be midpoints.

Select the correct Answer: for each question. -Find the derivative of the function.

The graph of a function on the interval [0, 8] is shown in the figure.Compute the Riemann sum for on [0, 8] using four subintervals of equal length and choosing the evaluation points to be (a) the left endpoints, (b) the right endpoints, and (c) the midpoints of the subintervals.

Find the indefinite integral.Select the correct Answer

A table of values of an increasing function is shown.Use the table to find an upper estimate of:

Select the correct Answer: for each question. -Approximate the area under the curve from using approximating rectangles of equal widths and right endpoints.The choices are rounded to the nearest hundredth.

Functions and Models

Limits and Derivatives

Differentiation Rules

Applications of Differentiation

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

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Exam 5: Integrals

Find the area of the region that lies under the given curve.Round theAnswer to three decimal places.

Select the correct Answer: for each question. -Find the integral.

Evaluate the integral.

The marginal cost of manufacturing x yards of a certain fabric is in dollars per yard.Find the increase in cost if the production level is raised from yards to yards.

Express the limit as a definite integral on the given interval.

Select the correct Answer: for each question. -Evaluate the integral.

Find the area of the region that lies under the given curve.

Find the integral.

Select the correct Answer for each question. -The acceleration function and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.

Find the integral.Select the correct Answer

Evaluate the indefinite integral.Select the correct Answer

Select the correct Answer: for each question. -The velocity function (in meters per second) is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.

Select the correct Answer for each question. -The area of the region that lies to the right of the y-axis and to the left of the parabola (the shaded region in the figure) is given by the integral Find the area.

Select the correct Answer for each question. -

If find the Riemann sum with correct to 3 decimal places, taking the sample points to be midpoints.

Select the correct Answer: for each question. -Find the derivative of the function.

The graph of a function on the interval [0, 8] is shown in the figure.Compute the Riemann sum for on [0, 8] using four subintervals of equal length and choosing the evaluation points to be (a) the left endpoints, (b) the right endpoints, and (c) the midpoints of the subintervals.

Find the indefinite integral.Select the correct Answer

A table of values of an increasing function is shown.Use the table to find an upper estimate of:

Select the correct Answer: for each question. -Approximate the area under the curve from using approximating rectangles of equal widths and right endpoints.The choices are rounded to the nearest hundredth.

Functions and Models

Limits and Derivatives

Differentiation Rules

Applications of Differentiation

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters