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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
Publisher: Brooks Cole
ISBN: 9781285464640

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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
Publisher: Brooks Cole
ISBN: 9781285464640
Chapter 7.1, Problem 33E
Textbook Problem
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In Exercises 29-34, evaluate each definite integral by using the method of integration by parts.

33. 0 2 x e 2 x d x

To determine

To compute: The definite integral 02xe2xdx .

Explanation of Solution

Formula used:

Integration by Parts formula: abudv=uv|ababvdu .

Calculation:

Consider u=x and dv=e2xdx . Thus, du=dx and v=12e2x+C .

By letting u=x and dv=e2xdx , the integral 02xe2xdx becomes in the form of 02xe2xdx=abudv .

Thus, by the Integration by Parts formula, the integration 02xe2xdx is simplified as follows

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Chapter 7 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - In Exercises 29-34, evaluate each definite...Ch. 7.1 - In Exercises 29-34, evaluate each definite...Ch. 7.1 - In Exercises 29-34, evaluate each definite...Ch. 7.1 - In Exercises 29-34, evaluate each definite...Ch. 7.1 - In Exercises 29-34, evaluate each definite...Ch. 7.1 - In Exercises 29-34, evaluate each definite...Ch. 7.1 - Find the function f given that the slope of the...Ch. 7.1 - Find the function f given that the slope of the...Ch. 7.1 - Find the area of the region under the graph of...Ch. 7.1 - Find the area of the region under the graph of...Ch. 7.1 - Velocity of a dragster The velocity of a dragster...Ch. 7.1 - Production of Steam Coal In keeping with the...Ch. 7.1 - Compact Disc Sales Sales of the latest recording...Ch. 7.1 - Concentration of a Drug in the Bloodstream The...Ch. 7.1 - Alcohol-related Traffic Accidents As a result of...Ch. 7.1 - Average price of a Commodity The price of a...Ch. 7.1 - Distance Covered by a Car The velocity of the...Ch. 7.1 - Credit Card Losses in the United Kingdom The mail...Ch. 7.1 - U.S. Smartphone Users Smartphone users, as a...Ch. 7.1 - Future Value of an Income Stream The chef-owner of...Ch. 7.1 - Future Value of AN Investment Laura, the sole...Ch. 7.1 - Rate of Return on an Investment Suppose an...Ch. 7.1 - Present Value of A Franchise Tracy purchased a...Ch. 7.1 - Gini Index Refer to Section 6.7. 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Determine the value of the constant k such that...Ch. 7 - The probability density function associated with a...Ch. 7 - Length Of Hospital Stay Records at Centerville...Ch. 7 - PROBABILITY OF RAINFALL The amount of rainfall (in...Ch. 7 - Life Span of a Car Battery The life span (in...Ch. 7 - Producers Surplus The supply equation for the GTC...Ch. 7 - Computer Game Sales The sales of Stair...Ch. 7 - Demand For computer Software The demand equation...Ch. 7 - Oil Spills Using aerial photographs, the Coast...Ch. 7 - Surface area OF a Lake a man-made lake located in...Ch. 7 - Perpetuities Lindsey wishes to establish a...Ch. 7 - Find x2lnxdx.Ch. 7 - Use the table of integrals to find dxx28+2x2Ch. 7 - Evaluate 24x2+1 using the Trapezoidal Rule with n=...Ch. 7 - Evaluate 13e0.2xdx using Simpsons Rule with n = 6.Ch. 7 - Evaluate 1e2xdxCh. 7 - Let f(x) = 596x2/3be defined on [0, 8]. a. Show...

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