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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336
Textbook Problem

  1. (a) Give a definition of a hyperbola in terms of foci.
  2. (b) Write an equation for the hyperbola with foci (±c, 0) and vertices (±a, 0).
  3. (c) Write equations for the asymptotes of the hyperbola in part (b).

(a)

To determine

To find: The definition of a hyperbola in terms of foci.

Explanation

Write the definition of a hyperbola in terms of foci.

A hyperbola is defined as the set of points in a plane such that the difference between the distances of two fixed point F1 and F2 is a constant.

The figure shows the hyperbola with two fixed points as shown in figure (1)

(b)

To determine

To find: The equation for the hyperbola with foci and vertices.

(c)

To determine

To find: The equation for the asymptotes of the hyperbola in part (b).

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Chapter 10 Solutions

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P-52RECh-10 P-53RECh-10 P-54RECh-10 P-55RECh-10 P-56RECh-10 P-57RECh-10 P-58RECh-10 P-1PCh-10 P-2PCh-10 P-3PCh-10 P-4PCh-10 P-5PCh-10 P-6P

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