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Exam 6: The Integral

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Exam 1: Functions and Linear Models100 Questionsadd course
Exam 2: Nonlinear Functions and Models88 Questionsadd course
Exam 3: Introduction to the Derivative140 Questionsadd course
Exam 4: Techniques of Differentiation With Applications106 Questionsadd course
Exam 5: Further Applications of the Derivative85 Questionsadd course
Exam 6: The Integral71 Questionsadd course
Exam 7: Further Integration Techniques and Applications of the Integral117 Questionsadd course
Exam 8: Functions of Several Variables133 Questionsadd course
Exam 9: Trigonometric Models66 Questionsadd course
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The normal distribution curve which models, distributions of data in a wide range of applications, is given by the function The normal distribution curve which models, distributions of data in a wide range of applications, is given by the function where and and are constants called the standard deviation and the mean, respectively. Its graph is shown in the figure. In a survey, consumers were asked to rate a new toothpaste on a scale of 1-10. The resulting data are modeled by a normal distribution with and . The percentage of consumers who gave the toothpaste a score between a and b on the section is given by . Use a Riemann sum with n = 10 to estimate the percentage of customers who rated the toothpaste 4 or higher. (Use the range 3.5 to 10.5.) where The normal distribution curve which models, distributions of data in a wide range of applications, is given by the function where and and are constants called the standard deviation and the mean, respectively. Its graph is shown in the figure. In a survey, consumers were asked to rate a new toothpaste on a scale of 1-10. The resulting data are modeled by a normal distribution with and . The percentage of consumers who gave the toothpaste a score between a and b on the section is given by . Use a Riemann sum with n = 10 to estimate the percentage of customers who rated the toothpaste 4 or higher. (Use the range 3.5 to 10.5.) and The normal distribution curve which models, distributions of data in a wide range of applications, is given by the function where and and are constants called the standard deviation and the mean, respectively. Its graph is shown in the figure. In a survey, consumers were asked to rate a new toothpaste on a scale of 1-10. The resulting data are modeled by a normal distribution with and . The percentage of consumers who gave the toothpaste a score between a and b on the section is given by . Use a Riemann sum with n = 10 to estimate the percentage of customers who rated the toothpaste 4 or higher. (Use the range 3.5 to 10.5.) and The normal distribution curve which models, distributions of data in a wide range of applications, is given by the function where and and are constants called the standard deviation and the mean, respectively. Its graph is shown in the figure. In a survey, consumers were asked to rate a new toothpaste on a scale of 1-10. The resulting data are modeled by a normal distribution with and . The percentage of consumers who gave the toothpaste a score between a and b on the section is given by . Use a Riemann sum with n = 10 to estimate the percentage of customers who rated the toothpaste 4 or higher. (Use the range 3.5 to 10.5.) are constants called the standard deviation and the mean, respectively. Its graph is shown in the figure. The normal distribution curve which models, distributions of data in a wide range of applications, is given by the function where and and are constants called the standard deviation and the mean, respectively. Its graph is shown in the figure. In a survey, consumers were asked to rate a new toothpaste on a scale of 1-10. The resulting data are modeled by a normal distribution with and . The percentage of consumers who gave the toothpaste a score between a and b on the section is given by . Use a Riemann sum with n = 10 to estimate the percentage of customers who rated the toothpaste 4 or higher. (Use the range 3.5 to 10.5.) In a survey, consumers were asked to rate a new toothpaste on a scale of 1-10. The resulting data are modeled by a normal distribution with The normal distribution curve which models, distributions of data in a wide range of applications, is given by the function where and and are constants called the standard deviation and the mean, respectively. Its graph is shown in the figure. In a survey, consumers were asked to rate a new toothpaste on a scale of 1-10. The resulting data are modeled by a normal distribution with and . The percentage of consumers who gave the toothpaste a score between a and b on the section is given by . Use a Riemann sum with n = 10 to estimate the percentage of customers who rated the toothpaste 4 or higher. (Use the range 3.5 to 10.5.) and The normal distribution curve which models, distributions of data in a wide range of applications, is given by the function where and and are constants called the standard deviation and the mean, respectively. Its graph is shown in the figure. In a survey, consumers were asked to rate a new toothpaste on a scale of 1-10. The resulting data are modeled by a normal distribution with and . The percentage of consumers who gave the toothpaste a score between a and b on the section is given by . Use a Riemann sum with n = 10 to estimate the percentage of customers who rated the toothpaste 4 or higher. (Use the range 3.5 to 10.5.) . The percentage of consumers who gave the toothpaste a score between a and b on the section is given by The normal distribution curve which models, distributions of data in a wide range of applications, is given by the function where and and are constants called the standard deviation and the mean, respectively. Its graph is shown in the figure. In a survey, consumers were asked to rate a new toothpaste on a scale of 1-10. The resulting data are modeled by a normal distribution with and . The percentage of consumers who gave the toothpaste a score between a and b on the section is given by . Use a Riemann sum with n = 10 to estimate the percentage of customers who rated the toothpaste 4 or higher. (Use the range 3.5 to 10.5.) . Use a Riemann sum with n = 10 to estimate the percentage of customers who rated the toothpaste 4 or higher. (Use the range 3.5 to 10.5.)

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Question 21

A model rocket has upward velocity A model rocket has upward velocity seconds after launch. Use a Riemann sum with n = 10 to estimate how high the rocket is 2 seconds after launch. seconds after launch. Use a Riemann sum with n = 10 to estimate how high the rocket is 2 seconds after launch.

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Question 22

The marginal cost function for the manufacture of portable CD players is given by The marginal cost function for the manufacture of portable CD players is given by where is the number of CD players manufactured. Use a Riemann sun with n = 15 to estimate the cost of producing the first 15 CD players. where The marginal cost function for the manufacture of portable CD players is given by where is the number of CD players manufactured. Use a Riemann sun with n = 15 to estimate the cost of producing the first 15 CD players. is the number of CD players manufactured. Use a Riemann sun with n = 15 to estimate the cost of producing the first 15 CD players.

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Question 23

Evaluate the integral. Evaluate the integral.

(Multiple Choice)
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Question 24

Evaluate the integral. Evaluate the integral.

(Multiple Choice)
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Question 25

Evaluate the integral. Evaluate the integral.

(Multiple Choice)
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Question 26

Evaluate the integral. Evaluate the integral.

(Multiple Choice)
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Question 27

Evaluate the integral. Evaluate the integral.

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Question 28

Evaluate the integral. Evaluate the integral.

(Multiple Choice)
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Question 29

A car traveling down a road has a velocity of A car traveling down a road has a velocity of mph at time hours. Find the total distance it travels from time hours to time hours. (Round your answer to the nearest mile.) mph at time A car traveling down a road has a velocity of mph at time hours. Find the total distance it travels from time hours to time hours. (Round your answer to the nearest mile.) hours. Find the total distance it travels from time A car traveling down a road has a velocity of mph at time hours. Find the total distance it travels from time hours to time hours. (Round your answer to the nearest mile.) hours to time A car traveling down a road has a velocity of mph at time hours. Find the total distance it travels from time hours to time hours. (Round your answer to the nearest mile.) hours. (Round your answer to the nearest mile.)

(Multiple Choice)
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Question 30

Evaluate the given integral using the substitution. Evaluate the given integral using the substitution.

(Multiple Choice)
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Question 31

Evaluate the integral. Evaluate the integral. Please express your answer in terms of e . Please express your answer in terms of e .

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Question 32

Evaluate the integral. Evaluate the integral.

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Question 33

Find Find if and the tangent line at has slope . if Find if and the tangent line at has slope . and the tangent line at Find if and the tangent line at has slope . has slope Find if and the tangent line at has slope . .

(Multiple Choice)
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Question 34

Evaluate the integral. Evaluate the integral.

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Question 35

Use the given graph to estimate the left Riemann sum for the given interval with the stated number of subdivisions. Use the given graph to estimate the left Riemann sum for the given interval with the stated number of subdivisions. Use the given graph to estimate the left Riemann sum for the given interval with the stated number of subdivisions.

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Question 36

A race car has a velocity of A race car has a velocity of ft/s seconds after starting. Use a Riemann sum with n = 10 to estimate how far the car travels in the first 5 seconds. (Round your answer to the nearest whole number.) ft/s A race car has a velocity of ft/s seconds after starting. Use a Riemann sum with n = 10 to estimate how far the car travels in the first 5 seconds. (Round your answer to the nearest whole number.) seconds after starting. Use a Riemann sum with n = 10 to estimate how far the car travels in the first 5 seconds. (Round your answer to the nearest whole number.)

(Multiple Choice)
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Question 37

Evaluate the integral. Evaluate the integral.

(Multiple Choice)
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Question 38

Evaluate the integral. Evaluate the integral.

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Question 39

Calculate the Riemann Sum for the integral using n = 4. Calculate the Riemann Sum for the integral using n = 4.

(Short Answer)
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Question 40
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