• :00Days
  • :00Hours
  • :00Mins
  • 00Seconds
A new era for learning is coming soonSign up for free
Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 33

Found in: Page 756


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.


Short Answer

in exercise 31-36 find a definite integral that represents the length of the specified polar curve, and then use graphing calculator or computer algebra system to approximate the value of integral

One petal of the polar rose r=cos4θ

The integral can be given as 20π8cos24θ+16sin24θdθ and the arc length can be given as 2.14units.

See the step by step solution

Step by Step Solution

Step 1: Given information

We are given the equation as r=cos4θ

Step 2: Evaluate

We know that the arc length of one petal of the polar rose r=cos(nθ) can be given as

20π2ncos2nθ+n2sin2θdθPut n=4 we get,20π8cos24θ+16sin24θdθ

Using a CAS calculator we get,


Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.