   Chapter 4.4, Problem 43E

Chapter
Section
Textbook Problem

# Use a graph to estimate the x-intercepts of the curve y = 1 − 2 x − 5 x 4 . Then use this information to estimate the area of the region that lies under the curve and above the x-axis.

To determine

To estimate:

The x-intercepts and using the intercepts, find the area of the region that lies under the curve and above the  x  axis.

Explanation

1) Concept:

The fundamental theorem of calculus part 2: If  f  is continuous on a,b, then abfxdx=Fb-Fa,  where  F  is any antiderivative of f , that is, the function  F  such that F'=f .

2) Formula:

fx+gxdx=fxdx+gxdx

xndx=xn+1n+1+C

kdx=kx+C

3) Given:

y=1-2x-5x4

4) Calculation:

Consider the given curve,

y=1-2x-5x4

The graph of the given curve is

By using the graph of the curve, y=1-2x-5x4=0 at x=-0.86&x=0.42

The x  intercept of the given curve by using the graph is x-0.86, x0.42

Next, find the area of the region lying under the curve and above the  x  axis.

From the graph, the curve   y=1-2x-5x4 bounded between x=-0.86  and  x=0.42 is continuous on -0.86, 0.42  and then, the area of the region that lies under the curve and above the x  axis is

-0.860

### 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

#### In Exercises 33-38, rewrite the expression using positive exponents only. 35. x1/3x1/2

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

#### In Problems 1-6, find the absolute maxima and minima for on the interval .

Mathematical Applications for the Management, Life, and Social Sciences

#### 9. List four mortgage loan closing costs. (14-4)

Contemporary Mathematics for Business & Consumers

#### The radius of convergence of is: 1 3 ∞

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

#### Describe the general characteristics of the survey research design.

Research Methods for the Behavioral Sciences (MindTap Course List)

#### Find each value of x. log28=x

College Algebra (MindTap Course List) 