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Chapter 7: Applications of integration

Expert-verified
Essential Calculus: Early Transcendentals
Pages: 365 - 424
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

314 Questions for Chapter 7: Applications of integration

  1. To sketch: The region bounded by the given curve: \(y = \sin x\), \(y = 0\); to visually estimate the centroid location and to find the exact coordinates of the centroid is\((\bar x,\bar y)\).

    Found on Page 411

  2. \( 10. y = tanx,y = x,x = \pi /3; about the y - axis \)

    Found on Page 422

  3. Calculate the volume of the solid obtained by rotating region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.

    Found on Page 379

  4. Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.

    Found on Page 369

  5. Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it.

    Found on Page 409

  6. What does the Theorem of Pappus say?

    Found on Page 422

  7. Find the exact length of the curve.

    Found on Page 391

  8. To determinethe volume generated by rotating the region bounded by the given curve by the use of the method of cylindrical shell.

    Found on Page 385

  9. Find the exact area of the surface obtained by rotating the curve about \({\rm{X}}\)- axis.

    Found on Page 397

  10. \(\;{\bf{9}} - {\bf{14}}\) Find the solution of the differential equation that satisfies the given initial condition.

    Found on Page 419

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