BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 2, Problem 26RE
To determine

To show: The roots of the given equation lie in the given interval.

Expert Solution

Explanation of Solution

Given information:

The equation and intervalis ex2=x,(0,1) .

Calculation:

Consider the equation.

  ex2x=0

Substitute x=0 in above equation.

  f(0)=e(0)2(0)=1

Substitute x=1 in above equation.

  f(1)=e(1)2(1)=11e

Since, f(0)f(1) and f(0)<0<f(1) .

Thus, at least one root lie in the given interval.

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