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Chapter 8: Series

Expert-verified
Essential Calculus: Early Transcendentals
Pages: 425 - 500
Essential Calculus: Early Transcendentals

Essential Calculus: Early Transcendentals

Book edition 2nd
Author(s) James Stewart
Pages 830 pages
ISBN 9781133112280

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Illustration

362 Questions for Chapter 8: Series

  1. Question: Determine whether the series is convergent or divergent.

    Found on Page 497

  2. Use the information from Exercise 12 to estimate sin 38ocorrect to five decimal places.

    Found on Page 495

  3. Use the Alternating Series Estimation Theorem or Taylor’s Formula to estimate the range of values of for which the given approximation is accurate to within the stated error. Check your answer graphically.

    Found on Page 495

  4. A car is moving with speed 20m/sand acceleration 2m/s2at a given instant. Using a second-degree Taylor polynomial, estimate how far the car moves in the next second. Would it be reasonable to use this polynomial to estimate the distance travelled during the next minute?

    Found on Page 495

  5. If a water wave with lengthLmoves with velocityvacross

    Found on Page 495

  6. If a surveyor measures differences in elevation when making plans for a highway across a desert, corrections must be made for the curvature of the earth.

    Found on Page 496

  7. The period of a pendulum with length L that makes a maximum angle \[{{\rm{\theta }}_{\rm{0}}}\]with the vertical is

    Found on Page 496

  8. (a) Approximate f by a Taylor polynomial with degree n at the number a.

    Found on Page 495

  9. Find the radius of convergence and the interval of convergence of the series\(\sum\limits_{n = 1}^\infty {{n^n}} {x^n}\).

    Found on Page 470

  10. Determine whether the geometric series is convergent or divergent..If it is convergent,find its sum.

    Found on Page 443

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