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Chapter 6: Q 17. (page 409)

Determine the amplitude and period of each function without graphing.

y=-12cos32x.

Short Answer

Expert verified

Amplitude is 12and period is4蟺3.

Step by step solution

01

Step 1. Given Information.

Determine the amplitude and period of each function without graphing.

y=-12cos32x.

02

Step 2. Evaluation.

For 蝇>0, the amplitude and period of y=Acos蝇xare given by

amplitude =A, Period =T=2蟺蝇.

After comparing the equation, we get

A=-12=12, 蝇=32

Then,T=2蟺32=4蟺3.

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