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Chapter 7: Q. 91 (page 465)

In Problems 81鈥�92, use a graphing utility to solve each equation. Express the solution(s) rounded to two decimal places.

6sinx-ex=2,x>0

Short Answer

Expert verified

The solution set is0.76,1.35

Step by step solution

01

Step 1. Given Information

In the given problems we have to use a graphing utility to solve each equation and express the solution(s) rounded to two decimal places.

6sinx-ex=2,x>0

02

Step 2. This type of trigonometric equation cannot be solved by previous methods. A graphing utility, though, can be used here.

Each solution of this equation is the x-coordinate of a point of intersection of the graphs of Y1=6sinx-exandY2=2.

03

Step 3. The graph of the given equation is

04

Step 4. There are three points of intersection; the x-coordinates are the solutions that we seek.

Using INTERSECT, we find

x=0.76x=1.35

The solution set is0.76,1.35

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