Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q 33.

Expert-verified

Calculus

Found in: Page 731

Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
$θ = \frac{π}{4}$

The required equation is $y = x$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given equation in polar coordinates is:

$θ = \frac{π}{4}$

Step 2. Find the equation in rectangular coordinates.

Use the formula $\tan θ = \frac{y}{x}$ ,

role="math" localid="1649257610003" $\tan \frac{π}{4} = \frac{y}{x} 1 = \frac{y}{x} [Since \tan \frac{π}{4} = 1] y = x$

Therefore, the equation in rectangular coordinates is $y = x$ .

Most popular questions for Math Textbooks

In exercise 26-30 Find a definite integral that represents the length of the specified polar curve and then find the exact value of integral

The spiral $r = θ f o r 0 \leq θ \leq 2 π$

In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.

$y = x$

Use Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32–37.

$foci (3, \pm 5), major axis 12$

Complete the square to describe the conics in Exercises 18–21 .

$y^{2} - 8 y - 4 x^{2} - 8 x - 13 = 0$

Complete the square to describe the conics in Exercises $18 - 21$ .

$2 x^{2} + 4 x + y^{2} - 6 y - 3 = 0$

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free