Chapter 2.P, Problem 17P

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

(a) Use the identity for

Where

(b) The **angle between the curves**
*P* is defined to be the angle between the tangent lines to
*P* (if these tangent lines exist). Use part (a) to find, correct to the nearest degree, the angle between each pair of curves at each point of intersection.

(i)

(ii)

**Part (a):**

To determine

**To show:** If two lines

Explanation

**1) Concept:**

If two lines

Here, slope of line

**2) Given: **

Two lines

where

3) **Calculation:**

In triangle ABC,

Subtract

By adding

Then, subtract

To determine

**Part (b):**

**To find: **The angle between each pair of curves at each point of intersection correct to the nearest degree using part (a).

Sect-2.1 P-1ESect-2.1 P-2ESect-2.1 P-3ESect-2.1 P-4ESect-2.1 P-5ESect-2.1 P-6ESect-2.1 P-7ESect-2.1 P-8ESect-2.1 P-9ESect-2.1 P-10E

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