The Mean Value Theorema. Show that decreases on every

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Problem 15PE Chapter 4

Thomas' Calculus: Early Transcendentals | 13th Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Thomas' Calculus: Early Transcendentals | 13th Edition

4 5 0 347 Reviews
30
4
Problem 15PE

The Mean Value Theorem

a. Show that decreases on every interval in its domain.

b. How many solutions does the equation have? Give reasons for your answer.

Step-by-Step Solution:

Step 1 of 6:

a)In this problem, we need to show that  decreases on every interval in its domain.

Step 2 of 6:

Given function is:

Now differentiate on both sides with respect to t we get.

, since

       

Therefore, …….(1)

Step 3 of 6:

We know that, sin(x) lies between [-1,1].

So, .

Therefore, .

is always falling.

Therefore, decreases on every interval in its domain.

Step 4 of 6

Chapter 4, Problem 15PE is Solved
Step 5 of 6

Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13th
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

The answer to “The Mean Value Theorema. Show that decreases on every interval in its domain.b. How many solutions does the equation have? Give reasons for your answer.” is broken down into a number of easy to follow steps, and 25 words. This full solution covers the following key subjects: Answer, decreases, domain, equation, every. This expansive textbook survival guide covers 138 chapters, and 9198 solutions. The full step-by-step solution to problem: 15PE from chapter: 4 was answered by Sieva Kozinsky, our top Calculus solution expert on 08/01/17, 02:37PM. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077. Since the solution to 15PE from 4 chapter was answered, more than 218 students have viewed the full step-by-step answer.

×
Log in to StudySoup
Get Full Access to Thomas' Calculus: Early Transcendentals - 13th Edition - Chapter 4 - Problem 15pe

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Thomas' Calculus: Early Transcendentals - 13th Edition - Chapter 4 - Problem 15pe
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here