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Chapter 6: Applications of Integration

Expert-verified
Calculus
Pages: 499 - 576
Calculus

Calculus

Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Illustration

429 Questions for Chapter 6: Applications of Integration

  1. In Exercises 35–40, use definite integrals to calculate the centroid of the region described. Use graphs to verify that your answers are reasonable.

    Found on Page 556

  2. Q. 2 The volume of a solid with disk cross-sections whose radii are given by r(x)on a,b, both as a limit of Riemann sums and as a definite integral.

    Found on Page 573

  3. Q. 4

    Found on Page 573

  4. Q. 6

    Found on Page 573

  5. Q. 5

    Found on Page 573

  6. Q. 3 the volume of a solid with washer cross-sections whose outer and inner radii are given, respectively, by R(x) and r(x) ona,b, as a limit of Riemann sums.

    Found on Page 573

  7. Problem Zero: Read the section and make your own summary of the material.

    Found on Page 538

  8. A falling object accelerates downwards due to gravity at a rate of 9.8 meters per second squared. Suppose an object is dropped and falls to the ground from a height of 100 meters.

    Found on Page 569

  9. Determine whether each of the statements that follow is true or false. If a statement is true, explain why. If a statement is false, provide a counterexample.

    Found on Page 555

  10. True/False: Determine whether each of the statements that follow is true or false. If a statement is true, explain why. If a statement is false, provide a counterexample.

    Found on Page 509

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