×
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 62e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 62e

×

# Solved: When is the volume finite Let R be the region

ISBN: 9780321570567 2

## Solution for problem 62E 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 1 328 Reviews
16
5
Problem 62E

When is the volume finite? Let R be the region bounded by the graph of $$f(x)=x^{-p}$$ and the x-axis for $$x \geq 1$$.

a. Let S be the solid generated when R is revolved about the x-axis. For what values of p is the volume of S finite?

b. Let S be the solid generated when R is revolved about the y-axis. For what values of p is the volume of S finite?

Step-by-Step Solution:

Problem 62EWhen is the volume finite Let R be the region bounded by the graph of f(x)= and the x-axis for x 1.a. Let S be the solid generated when R is revolved about the x-axis. For what values of p is the volume of S finiteb. Let S be the solid generated when R is revolved about the y-axis. For what values of p is the volume of S finiteSolution Step 1:(a)The volume of S is given by the integral If -2p = -1 (i.e. p = ½) , then this integral becomes = log aAnd the volume is infinite, If p , we have: = = = -

Step 2 of 2

## Discover and learn what students are asking

Calculus: Early Transcendental Functions : Exponential and Logarithmic Functions
?In Exercises 7-22, solve for $$x$$. $$4^{x}=64$$

Calculus: Early Transcendental Functions : Introduction to Functions of Several Variables
?In Exercises 7-18, find and simplify the function values. $$f(x, y)=2 x+y^{2}$$ (a) $$\frac{f(x+\Delta x, y)-f(x, y)}{\Delta x}$$

Chemistry: The Central Science : Introduction:Matter, Energy, and Measurement
?Which of the following figures represents (a) a pure element, (b) a mixture of two elements, (c) a pure compound,

#### Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Solved: When is the volume finite Let R be the region