Chapter 2.6, Problem 58E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

(a) Where does the normal line to the ellipse

(b) Illustrate part (a) by graphing the ellipse and the normal line.

To determine

**(a)**

**To Find:**

Coordinate of normal line when intersection the ellipse second time.

Explanation

**1) Concept:**

Implicit differentiation and Point slope form of equation of line are the concepts used.

**2) Formula:**

i. Sum or difference rule

ii. Derivative of constant

iii. Product rule

iv. Power rule

**3) Given:**

**4) Calculations:**

To find the next coordinate points of normal line to ellipse, find the derivative of given equation of ellipse at point

Differentiating given expression implicitly with respect to x,

To determine

**(b)**

**To illustrate:**

The graph of normal line and ellipse.

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