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Chapter 5: Q. 64 (page 315)

Use a graphing utility to solve each equation. Express your answer rounded to two decimal places.

e2x=x+2

Short Answer

Expert verified

The solutions of the given equation are -1.98and 0.45.

Step by step solution

01

Step 1. Given information.

The given equation is:

e2x=x+2

02

Step 2. Determine the solution by the graphing utility.

Plot the graphs of y1=e2x andy2=x+2 on a coordinate plane. The x-coordinate of the intersection point is the solution of the given equation.

The graphs intersect each other at x鈮�-1.981 and x鈮�0.448. After rounding the value to two decimal placesx鈮�-1.98 and x鈮�0.45.

03

Step 3. Conclusion.

The solutions of the given equation are -1.98and 0.45.

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Most popular questions from this chapter

Evaluate each expression using the graphs of y=f(x)and y=g(x)shown in the figure.

(a)g鈭�f-1 (b) g鈭�f0(c) f鈭�g-1(d) f鈭�g4.

A function fhas an inverse function. If the graph of f lies in quadrant II, in which quadrant does the graph of f-1lie?

Findf(3x)iff(x)=4-2x2.

solve each equation. Verify your results using a graphing utility.

9-x+15=27x

Find f(3x)iff(x)=4-2x2.
See all solutions

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