   Chapter 5.4, Problem 56E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# If f(x) is the slope of a trail at a distance of x miles from the start of the trail, what does ∫ 3 5 f ( x )   d x represent?

To determine

To represent: the integral function 35f(x)dx.

Explanation

Given information:

The slope of the trail is f(x).

The integral function is 35f(x)dx (1)

The distance of the trail denoted as x in miles.

Calculation:

Take change of elevation as E(x) and rate of change of elevation as E'(x).

The slope of the trail f(x) represents the rate of change of elevation E'(x). Hence, f(x)=E'(x).

The net change theorem is shown below:

abF'(x)dx=F(b)F(a)

Here, the rate of change of [y=F(x)] with respect to x is F'(x)

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Convert the expressions in Exercises 8596 radical form. 22/3

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Write each of the following in radical form. (a) x3/7 (b) x1/2 (c) x3/2

Mathematical Applications for the Management, Life, and Social Sciences

#### Evaluate the integral. 26. 013x2+1x3+x2+x+1dx

Single Variable Calculus: Early Transcendentals

#### For , f′(x) =

Study Guide for Stewart's Multivariable Calculus, 8th

#### By determining the limit of Riemann sums, the exact value of dx is a) 7 b) 9 c) d) 18

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 