   Chapter 10.4, Problem 61E

Chapter
Section
Textbook Problem

# Finding Slopes of Tangent Lines Using Technology In Exercises 65-68, use a graphing utility to (a) graph the polar equation, (b) draw the tangent line at the given value of θ , and (c) find dy/dx at the given value of θ. (Hint: Let the increment between the values of θ equal π / 2 4 .) r = 3 ( 1 − cos θ ) , θ = π 2

(a)

To determine

To Graph:

The given polar equation r=3(1cosθ) with the help of thegraphing utility.

Explanation

Given: The angle is θ=π2

Graph:

The steps of Ti-83 calculator are as follows:

Step1: Press the MODE Key and select POL mode.

Step2: Press (Y=) Key.

Step3: Type the expression r1=3(1<

(b)

To determine

To Graph:

The given tangent line at given value of θ

(c)

To determine

To Calculate: The value dydx for r=3(1cosθ) at given value of θ.

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