Solution Found!

5 2 Nearest point What point of the graph of f(x) = 2 x is

Chapter 4, Problem 24RE

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Nearest point What point of the graph of \(f(x)=\frac{5}{2}-x^{2}\) is closest to the origin? (Hint: You can minimize the square of the distance.)

Questions & Answers

QUESTION:

Nearest point What point of the graph of \(f(x)=\frac{5}{2}-x^{2}\) is closest to the origin? (Hint: You can minimize the square of the distance.)

ANSWER:

Solution Step 1 In this problem we have to find the point in the graph of2 x that is closest to the origin. To find the point we shall make use of the hint. Given f(x) = x 2 2 Let P(x, 2x )be the point of f(x) that is closest to origin. Let D be the square of distance from origin to P. That is D = x + ( x ) 22 25 5 = x + 42( )2x )+x 4 2 25 2 4 = x + 4 5x +x = x 4x +2 25 4

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back