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Chapter 6: Q 18. (page 409)

Determine the amplitude and period of each function without graphing.

y=43sin23x.

Short Answer

Expert verified

The amplitude is 43and period is3蟺.

Step by step solution

01

Step 1. Given Information.

Determine the amplitude and period of each function without graphing.

y=43sin23x.

02

Step 2. Evaluation.

For 蝇>0, the amplitude and period of y=Asin蝇xis given by

Amplitude =A, period =2蟺蝇.

By comparing the equation , we get

role="math" localid="1647250875837" A=43,蝇=23.

Then,T=2蟺23=3蟺.

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