Q. 23 In Problems 13鈥�24, analyze eac... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 10: Q. 23 (page 683)

In Problems 13鈥�24, analyze each equation and graph it.
$r = \frac{6 \sec 胃}{2 \sec 胃 - 1}$

Short Answer

Expert verified

The given equation represents an ellipse.

Step by step solution

Step 1. Given Information

We are given an equation

$r = \frac{6 \sec 胃}{2 \sec 胃 - 1} r = \frac{6 (\frac{1}{\cos 胃})}{2 (\frac{1}{\cos 胃}) - 1} = \frac{\frac{6}{\cos 胃}}{\frac{2}{\cos 胃} - 1} = \frac{6}{2 - \cos 胃}$

We need to find the graph of the equation .

Step 2. Analyze the equation

Compare the given equation with $r = \frac{e p}{1 - e \cos 胃}$

The given equation becomes,

$r = \frac{6}{2 - \cos 胃} 路 \frac{\frac{1}{2}}{\frac{1}{2}} r = \frac{3}{1 - \frac{1}{2} \cos 胃} S I n c e, e < 1$

Therefore, it is an ellipse.

Step 3. Plotting points

Now, we will calculate the points from the given equation,

$胃 = 0 : r = \frac{6}{0} = \frac{6}{0 - 1} = \frac{6}{1} = 6 (6, 0) 胃 = \frac{蟺}{2} : r = \frac{6}{2 - \cos (\frac{蟺}{2})} = \frac{6}{2 - 0} = \frac{6}{2} = 3 胃 = 蟺 : r = \frac{6}{2 - \cos (蟺)} = \frac{6}{2 + 1} = \frac{6}{3} = 2 (2, 蟺) 胃 = \frac{3 蟺}{2} : r = \frac{6}{2 - \cos (\frac{3 蟺}{2})} = \frac{6}{2 - 0} = \frac{6}{2} = 3$

Step 4. Required graph

Plotting the points, we get the graph as,

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91影视

In Problems 13鈥�24, analyze each equation and graph it.
$r = \frac{6 \sec 胃}{2 \sec 胃 - 1}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Analyze the equation

Step 3. Plotting points

Step 4. Required graph

One App. One Place for Learning.

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91影视

In Problems 13鈥�24, analyze each equation and graph it.r=6sec胃2sec胃-1

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Analyze the equation

Step 3. Plotting points

Step 4. Required graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Logic and Functions

Decision Maths

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

In Problems 13鈥�24, analyze each equation and graph it.
$r = \frac{6 \sec 胃}{2 \sec 胃 - 1}$