Answer: Explain why or why not Determine whether the Problem 39E Chapter 4.5

Calculus: Early Transcendentals | 1st Edition

• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Calculus: Early Transcendentals | 1st Edition

4 5 0 353 Reviews
22
0
Problem 39E

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. The linear approximation to ?f?(?x?)= ?x?2 at the point (0, 0) is ?L?(?x?) = 0 b. Linear approximation provides a good approximation to ?f?(?x?)= | ?x? |at(0, 0). c. If ?f?(?x?) = ?mx? + ?b,? then at any point ?x? = ?a.? the linear approximation to ?f? is ?L?(?x?)= f?(?x?).

Step-by-Step Solution:
Step 1 of 3

Solution 39E STEP 1 2 (a). The linear approximation to f(x) = x at the point (0, 0) is ) = 0. Let f be a function differentiable at an interval containing a point a.The linear approximation to f at a is given by L(x) = f(a)+f (a)(xa) Given f(x) = x and (a,f(a)) = (0,0) f(a) = 0. f(x) = 2x f (a) = 0 Therefore L(x) = 0 Thus the given statement is true. STEP 2 (b). Linear approximation provide s a d approximation to f (x)= | x | at(0, 0) .The linear approximation to f at a is given...

Step 2 of 3

Step 3 of 3

ISBN: 9780321570567

This full solution covers the following key subjects: Approximation, Linear, point, good, explain. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 39E from chapter: 4.5 was answered by Sieva Kozinsky, our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. The linear approximation to ?f?(?x?)= ?x?2 at the point (0, 0) is ?L?(?x?) = 0 b. Linear approximation provides a good approximation to ?f?(?x?)= | ?x? |at(0, 0). c. If ?f?(?x?) = ?mx? + ?b,? then at any point ?x? = ?a.? the linear approximation to ?f? is ?L?(?x?)= f?(?x?).” is broken down into a number of easy to follow steps, and 69 words. Since the solution to 39E from 4.5 chapter was answered, more than 255 students have viewed the full step-by-step answer.

×
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 39e

Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 39e

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
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

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
Already have an Account? Is already in use