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Chapter 9: Parametric Equations, Polar Coordinates and Conic Sections

Expert-verified
Calculus
Pages: 707 - 776
Calculus

Calculus

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

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Illustration

380 Questions for Chapter 9: Parametric Equations, Polar Coordinates and Conic Sections

  1. Examples: Construct examples of the thing(s) described in the following. Try to find examples that are different than any in the reading.

    Found on Page 720

  2. Sketch the curves defined by the given sets of parametric equations. Indicate the direction of motion on each curve. x=t2y=t3,t∈[-2,2]

    Found on Page 774

  3. Finding the center and radius for a circle by completing the square:

    Found on Page 771

  4. The cardioid defined by r = 1 + cos θ and its interior is

    Found on Page 757

  5. Finding points of intersection: Graph the function y=1+sinxandy=cosxand find all the points of intersecti

    Found on Page 745

  6. The calculus of parametric equations: Let x = f(t) and y = g(t), where f and g are differentiable functions.

    Found on Page 774

  7. Sketching parametric equations: Sketch the curves defined by the given sets of parametric equations. Indicate the direction of motion on each curve.

    Found on Page 774

  8. 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 729

  9. Fill in the blanks to complete each of the following theorem:

    Found on Page 774

  10. parametrizations are provided for portions of the same function. For each problem do the following:

    Found on Page 721

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