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Chapter 6: Q 19. (page 409)

Determine the amplitude and period of each function without graphing.

y=53sin-2蟺3x.

Short Answer

Expert verified

The amplitude is53and period is-3.

Step by step solution

01

Step 1. Given Information.

Determine the amplitude and period of each function without graphing.

y=53sin-2蟺3x.

02

Step 2. Evaluation.

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

Amplitude =A, Period =2蟺蝇.

On comparing, we get

Amplitude =53=53,蝇=-2蟺3.

PeriodT=2蟺-2蟺3=-3.

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