   Chapter 5, Problem 17TYS ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# In Exercises 16-19, sketch the region bounded by the graphs of the functions and find the area of the region. f ( x ) = 7 − x , g ( x ) = − 1 2 x 2 + x + 7

To determine

To calculate: The area of the region bounded by the graphs of the functions f(x)=7x,g(x)=12x2+x+7.

Explanation

Given information:

The functions are f(x)=7x,g(x)=12x2+x+7.

Formula used:

Area of the region bounded by two graphs:

A=ab[f(x)g(x)]dx

Calculation:

Consider the functions f(x)=7x,g(x)=12x2+x+7.

First make a table for the function f(x)=7x

 x f(x)=7−x (x,f(x)) 0 f(0)=7−(0)=7 (0,7) 2 f(2)=7−(2)=5 (2,5) 4 f(4)=7−(4)=3 (4,3)

Now, take the second function g(x)=12x2+x+7

Make a table for this given function

 x g(x)=−12x2+x+7 (x,g(x)) 0 g(0)=−12(0)2+(0)+7=7 (0,7) 1 g(1)=−12</

### 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

#### Expand each expression in Exercises 122. (2y+3)(y+5)

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Find limx1x2+4x+3x2+3x+2

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### In Problems 7-34, perform the indicated operations and simplify. 23.

Mathematical Applications for the Management, Life, and Social Sciences

#### An integral for the solid obtained by rotating the region at the right about the y-axis is:

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

#### The harmonic series is: 1 + 2 + 3 + 4 + …

Study Guide for Stewart's Multivariable Calculus, 8th 