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Chapter 6: Q. 39 (page 435)

In Problems 39 and 40 , find a function whose graph is given.

Short Answer

Expert verified

The function isy=5cos14x

Step by step solution

01

Given information

Given the graph

02

Identify the amplitude

The function takes the formy=Acos(ωx-ϕ)+BWe can see that the period of is 8πtherefore we have

T=2πω8π=2πωω=14

03

Checking the phase shift and forming the function

On seeing, the phase shift is zero

A=5ω=14∅=0B=0

So the function isy=5cos14x

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