×
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 10.4 - Problem 98ae
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 10.4 - Problem 98ae

×

# The anvil of a hyperbola Let H be the hyperbola x2 y2 = 1

ISBN: 9780321570567 2

## Solution for problem 98AE Chapter 10.4

Calculus: Early Transcendentals | 1st Edition

• Textbook Solutions
• 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 1 389 Reviews
22
1
Problem 98AE

Problem 98AE

The anvil of a hyperbola Let H be the hyperbola x2 − y2 = 1 and let S be the 2-by-2 square bisected by the asymptotes of H. Let R be the anvil-shaped region bounded by the hyperbola and the horizontal lines y = ±p (sec figure).

a. For what value of p is the area of R equal to the area of S?

b. For what value of p is the area of R twice the area of S?

Step-by-Step Solution:

Solution 98AE

Step 1:

We find the area of region R by integrating the hyperbola with respect to y from .

Equation of hyperbola in terms of y is :

Now, area is

Step 2 of 1

#### Related chapters

Unlock Textbook Solution