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Chapter 9: Parametric equations and polar coordinates

Expert-verified
Essential Calculus: Early Transcendentals
Pages: 501 - 536
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

225 Questions for Chapter 9: Parametric equations and polar coordinates

  1. Find \(\frac{{dy}}{{dx}}\)and\(\frac{{{d^2}y}}{{d{x^2}}}\). For which values of t is the curve concave upward?

    Found on Page 513

  2. To determine,

    Found on Page 535

  3. Sketch the curve and find the area that it encloses.

    Found on Page 528

  4. Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions.

    Found on Page 522

  5. Sketch the polar curve.

    Found on Page 536

  6. (a) Find the eccentricity, (b) identify the conic, (c) give an equation of the directrix, and (d) sketch the conic.

    Found on Page 535

  7. Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions.

    Found on Page 522

  8. Sketch the curve and find the area that it encloses.

    Found on Page 528

  9. Find \(\frac{{dy}}{{dx}}\)and\(\frac{{{d^2}y}}{{d{x^2}}}\). For which values of t is the curve concave upward?

    Found on Page 513

  10. Sketch t he polar curve.

    Found on Page 535

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