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91Ó°ÊÓ

Use a graphing utility to solve the equation on the interval 0≤x≤2π. Approximate any solutions rounded to two decimal places.

2sinx+3cosx=4x

Short Answer

Expert verified

The solution set is 0.87.

Step by step solution

01

Step 1. Given information.

Consider the given question,

2sinx+3cosx=4x,0≤x≤2π

We can say,

y1=2sinx+3cosxy2=4x

Plot the two equations,

02

Step 2. Plot the equations for the given interval.

Consider the given question,

The interval is0≤x≤2π.

On plotting the equations for the given interval,

From the graph, we can see the point of intersection is 0.87,3.47.

Then the solution islocalid="1646496103039" 0.87.

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