   Chapter 10.6, Problem 4E

Chapter
Section
Textbook Problem

Graphing a Conic In Exercises 3 and 4, use a graphing utility to graph the polar equation when (a) e = 1 , (b) e = 0.5 , and (c) e = 1.5 . Identify the conic. r = 2 e 1 − e sin θ

a)

To determine

Sketch the graph of the polar equation using graphing utility when e=1 and also identify the type of the conic.

Explanation

Given: the given polar equation is r=2e1esinθ

Calculation:

When e=1, r becomes

r=2.11.sinθ.

r=21sinθ

Hence, the conic is a Parabola.

Steps to sketch the required graph using graphing utility:

Step 1: Press ‘ON’ key

b)

To determine

Sketch the graph of the polar equation using graphing utility when e=0.5 and also identify the type of the conic

c)

To determine

Sketch the graph of the polar equation using graphing utility when e=1.5 and also identify the type of the conic.

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