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Get Full Access to Calculus: Early Transcendental Functions - 6 Edition - Chapter 8.2 - Problem 5
Get Full Access to Calculus: Early Transcendental Functions - 6 Edition - Chapter 8.2 - Problem 5

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# Solved: Setting Up Integration by Parts In Exercises 16, identify and for finding the

ISBN: 9781285774770 141

## Solution for problem 5 Chapter 8.2

Calculus: Early Transcendental Functions | 6th Edition

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Problem 5

In Exercises 1-6, identify  $$u$$  and  $$d v$$ for finding the integral using integration by parts. (Do not evaluate the integral.)

$$\int x \sec ^{2} x d x$$

Text Transcription:

u

dv

int x sec ^{2} x dx

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8/26- Econ 2101: Ch. 2 Notes Definitions:  Economics: A social science in how limited resources (scarcity) and unlimited human wants forces us to make choices and trade-offs o Social: All about the people; human behavior/interactions o Science: Investigating theories and hypothesis; proving whether or not false o Limited Resources: Things are available in finite quantities o Unlimited human wants: we always want more stuff o Trade-Offs: In order to have more of one thing, you must give up another (sacrifice)  Microeconomics: The choices of individuals ; resources include wealth/time  Macroeconomic Resources: Aggregate choices (the sum/total of many choices) o Main Three:  Land: Soil, freshwater, oil, gold = natural resources  Labor: Human skills or human capital  Capital: NOT MONEY! It’s machinery, factories, tools and equipment; “Things used to make other things” o Additional Resources:  Technology: Ways to improve/combine land, labor, capital  Entrepreneurship: Risk-takers in business; create new ways of combining land, labor, and capital. Examples are Steve jobs, John Rockefeller, Andrew Carnegie.  Opportunity Cost: The next best alternative use of a resource; must be forgone to have more of something else. o Refer to the idea of “no free lunch”. Example, your parents come int

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