Math

CalculusApplied CalculusScientific Research: 1983–2003 (Compare Exercise 92 in Section 6.2.) The number of research articles in the prominent journal Physical Review written by researchers in the United States during 1983–2003 can be approximated by U ( t ) = 4.6 e 0.6 0.4 + e 0.6 t thousand articles per year ( 0 ≤ t ≤ 20 ) , where t is time in years. ( t = 0 represents 1983.) Use a definite integral to estimate the total number of articles written by researchers in the United States from 1983 to 2003. (Round your answer to the nearest 1,000 articles.) [ HINT: See Example 5 in Section 6.2.]BuyFind*launch*

7th Edition

Waner + 1 other

Publisher: Cengage Learning,

ISBN: 9781337291248

Chapter 6.4, Problem 84E

Textbook Problem

*Scientific Research: 1983–2003* (Compare Exercise 92 in Section 6.2.) The number of research articles in the prominent journal Physical Review written by researchers in the United States during 1983–2003 can be approximated by

where *t* is time in years. (
**HINT:** See Example 5 in Section 6.2.]

Applied Calculus

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Bottled Water Sales The rate of U.S. sales of...Ch. 6.3 - Bottled Water Sales The rate of U.S. per capita...Ch. 6.3 - Online Payments The following graph shows the rate...Ch. 6.3 - Online Auctions The following graph shows the rate...Ch. 6.3 - Scientific Research Exercises 49 and 50 are based...Ch. 6.3 - Scientific Research Exercises 49 and 50 are based...Ch. 6.3 - Graduate Degrees: Women The following graph shows...Ch. 6.3 - Graduate Degrees: Men The following graph how the...Ch. 6.3 - Visiting Students in the Early 2000s The aftermath...Ch. 6.3 - Visiting Students in the Early 2000s Repeat...Ch. 6.3 - Net Income: Exercises 55 and 56 are based on the...Ch. 6.3 - Net Income: Exercises 55 and 56 are based on the...Ch. 6.3 - Crude Oil Production: Mexico The following table...Ch. 6.3 - Offshore Crude Oil Production: Mexico The...Ch. 6.3 - Motion under Gravity The velocity of a tone moving...Ch. 6.3 - Motion under Gravity The velocity of a stone...Ch. 6.3 - Motion A model rocket ha upward velocity...Ch. 6.3 - 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Show...Ch. 6.4 - Kinetic Energy The work done in accelerating an...Ch. 6.4 - Einsteins Energy Equation According to the special...Ch. 6.4 - Explain how the indefinite integral and the...Ch. 6.4 - What is definite about the definite integral?Ch. 6.4 - The total change of a quantity from time a to time...Ch. 6.4 - Complete the following: The total sales from time...Ch. 6.4 - What does the Fundamental Theorem of Calculus...Ch. 6.4 - If Felice and Philipe have different...Ch. 6.4 - Give an example of a nonzero velocity function...Ch. 6.4 - Give an example of a nonzero function whose...Ch. 6.4 - Give an example of decreasing function f(x) with...Ch. 6.4 - Explain why, in computing the total change of a...Ch. 6.4 - If f(x) isa continuous function defined for xa,...Ch. 6.4 - Use the result of Exercises 99 and technology to...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 118, evaluate the indefinite...Ch. 6 - In Exercises 19 and 20, use the given graph to...Ch. 6 - In Exercises 19 and 20, use the given graph to...Ch. 6 - In Exercises 2126, calculate the left Riemann sum...Ch. 6 - In Exercises 2126, calculate the left Riemann sum...Ch. 6 - In Exercises 2126, calculate the left Riemann sum...Ch. 6 - In Exercises 2126, calculate the left Riemann sum...Ch. 6 - In Exercises 2126, calculate the left Riemann sum...Ch. 6 - In Exercises 2126, calculate the left Riemann sum...Ch. 6 - In Exercises 27 and 28, use technology to...Ch. 6 - In Exercises 27 and 28, use technology to...Ch. 6 - In Exercises 29 and 30, the graph of the...Ch. 6 - In Exercises 29 and 30, the graph of the...Ch. 6 - In Exercises 3140, evaluate the definite integral...Ch. 6 - In Exercises 3140, evaluate the definite integral...Ch. 6 - In Exercises 3140, evaluate the definite integral...Ch. 6 - In Exercises 3140, evaluate the definite integral...Ch. 6 - In Exercises 3140, evaluate the definite integral...Ch. 6 - In Exercises 3140, evaluate the definite integral...Ch. 6 - In Exercises 3140, evaluate the definite integral...Ch. 6 - In Exercises 3140, evaluate the definite integral...Ch. 6 - In Exercises 3140, evaluate the definite integral...Ch. 6 - In Exercises 3140, evaluate the definite integral...Ch. 6 - In Exercises 4144, find the area of the specified...Ch. 6 - In Exercises 4144, find the area of the specified...Ch. 6 - In Exercises 4144, find the area of the specified...Ch. 6 - In Exercises 4144, find the area of the specified...Ch. 6 - Sales At OHaganBooks.com, the rate of net sales...Ch. 6 - Demand If OHaganBooks.com were to give away its...Ch. 6 - Motion under Gravity Billy-Sean OHagans friend...Ch. 6 - Motion under Gravity An overworked employee at...Ch. 6 - Projected Sales Before OHaganBooks.com launched...Ch. 6 - Bandwidth Billy-Sean OHagan has been using the...Ch. 6 - Sales Sales at the OHaganBooks.com website of...Ch. 6 - Sales The following graph shows the approximate...Ch. 6 - Promotions Unlike sales of Larry Potter and the...Ch. 6 - Sales Even worse than with the leather-bound...Ch. 6 - Website Activity The number of hits on the...Ch. 6 - Website Crashes The latest DoorsXL servers that...Ch. 6 - Student Intern Costs The marginal monthly cost of...Ch. 6 - Legal Costs The legal team maintained by...Ch. 6 - Projected Sales When OHaganBooks.com was about to...Ch. 6 - Actual Sales Once OHaganBooks.com actually went...Ch. 6 - Revised Actual Sales OHaganBooks.com modeled its...Ch. 6 - Computer Usage A consultant recently hired by...Ch. 6 - What (if any) advantages are there to using a...

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