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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve.

28.

  1. (a) A circle with radius 5 and center (2, 3)
  2. (b) A circle centered at the origin with radius 4

(a)

To determine

To find: The curve would be represented by a polar or Cartesian equation.

Explanation

Given:

The circle radius (r) is 5.

The circle center (a,b) is (2,3).

Calculation:

Write the Cartesian equation of circle at the point (a,b).

(xa)2+(yb)2=r2

The circle radius (r) is 5.

The circle center (a,b) is (2,3)

(b)

To determine

To find: the Cartesian equation of the curve.

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