BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.2, Problem 77E
To determine

To find : The function of the top half of the circle

Expert Solution

Answer to Problem 77E

The equation for the top half of the circle is f(x)=9x2 for [3,3]

Explanation of Solution

Given information :

The equation of the circle is x2+y2=9

Calculation :

Solve the equation for y :

  x2+y2=9                      [original equation]x2+y2x2=9x2       [subtract x2 from both sides]y2=9x2y2=9x2                [take square roots on both sides]|y|=9x2y=±9x2y=9x2                     [keep the positive half for the top of the circle]f(x)=9x2               [set y=f(x)]f(x)=9x2 for [3,3]

Hence,

the equation for the top half of the circle is f(x)=9x2 for [3,3]

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!