×
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 59e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 59e

×

# Regions bounded by exponentials Let a > 0 and let R be the ISBN: 9780321570567 2

## Solution for problem 59E Chapter 7.7

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 1 240 Reviews
29
5
Problem 59E

Regions bounded by exponentials Let a > 0 and let R be the region bounded by the graph of y = e?ax and the x-axis on the interval [b, ?).a. Find A(a, b). the area of R as a function of a and b.________________b. Find the relationship b = g(a)such that A(a, b)=2.________________c. What is the minimum value of b (call it b*)such that when b > b*, A(a, b)= 2 for some value of a > 0?

Step-by-Step Solution:

Problem 59ERegions bounded by exponentials Let a > 0 and let R be the region bounded by the graph of and the x-axis on the interval [b, ).a. Find A(a, b). the area of R as a function of a and b.b. Find the relationship b = g(a)such that A(a, b)=2.c. What is the minimum value of b (call it b*)such that when b > b*, A(a, b)= 2 for some value of a > 0SolutionStep 1In this problem we have to find the area of the region bounded by the graph of and the x-axis on the interval [b, ).We shall find the area by the following method. “If f(x) is a continuous and nonnegative function of x on the closed interval [a, b], then the area of the region bounded by the graph of f, the x-axis and the vertical lines x=a and x=b is given by: ”

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

Unlock Textbook Solution