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Exam 6: Techniques of Integration

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Exam 1: Functions, graphs, and Limits427 Questionsadd course
Exam 2: Differentiation84 Questionsadd course
Exam 3: Applications of the Derivative122 Questionsadd course
Exam 4: Exponential and Logarithmic Functions122 Questionsadd course
Exam 5: Integration and Its Applications88 Questionsadd course
Exam 6: Techniques of Integration46 Questionsadd course
Exam 7: Functions of Several Variables113 Questionsadd course
Exam 8: Trigonometric Functions60 Questionsadd course
Exam 9: Probability and Calculus36 Questionsadd course
Exam 10: Series and Taylor Polynomials104 Questionsadd course
Exam 11: Differential Equations77 Questionsadd course
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Present Value of a Continuous Stream of Income.An electronics company generates a continuous stream of 4t income of million dollars per year,where t is the number of years that the company has been in operation.Find the present value of this stream of income over the first 15 years at a continuous interest rate of 10%.Round answer to one decimal place. ​

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Question 41

Use integration by parts to evaluate Use integration by parts to evaluate ​ ​

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Question 42

​Evaluate the definite integral ​Evaluate the definite integral Round your answer to three decimal places. ​ Round your answer to three decimal places. ​

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Question 43

A body assimilates a 12-hour cold tablet at a rate modeled by A body assimilates a 12-hour cold tablet at a rate modeled by , where is measured in milligrams per hour and t is the time in hours.Use Simpson's Rule with to estimate the total amount of the drug absorbed into the body during the 12 hours. ​ , A body assimilates a 12-hour cold tablet at a rate modeled by , where is measured in milligrams per hour and t is the time in hours.Use Simpson's Rule with to estimate the total amount of the drug absorbed into the body during the 12 hours. ​ where A body assimilates a 12-hour cold tablet at a rate modeled by , where is measured in milligrams per hour and t is the time in hours.Use Simpson's Rule with to estimate the total amount of the drug absorbed into the body during the 12 hours. ​ is measured in milligrams per hour and t is the time in hours.Use Simpson's Rule with A body assimilates a 12-hour cold tablet at a rate modeled by , where is measured in milligrams per hour and t is the time in hours.Use Simpson's Rule with to estimate the total amount of the drug absorbed into the body during the 12 hours. ​ to estimate the total amount of the drug absorbed into the body during the 12 hours. ​

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Question 44

​Use a table of integrals to find the indefinite integral ​Use a table of integrals to find the indefinite integral ​ ​

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Question 45

Use the table of integrals to find the average value of the growth function Use the table of integrals to find the average value of the growth function over the interval ,where N is the size of a population and t is the time in days.Round your answer to three decimal places. ​ over the interval Use the table of integrals to find the average value of the growth function over the interval ,where N is the size of a population and t is the time in days.Round your answer to three decimal places. ​ ,where N is the size of a population and t is the time in days.Round your answer to three decimal places. ​

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