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Chapter 8: Q. 1 (page 549)

The amplitude A and period T off(x)=5sin(4x) are ____ and ____ .

Short Answer

Expert verified

The amplitude and period off(x)=5sin(4x)are5andπ2

Step by step solution

01

Given information

We are given an equationf(x)=5sin(4x)

02

Compare with standard equation and find amplitude and time period

The standard equation is f(x)=Asin(ωx)

comparing with standard equation we get,

A=5ω=4

Now

ω=2πT4=2πTT=2π4T=π2

03

Conclusion

The amplitude and time period off(x)=5sin(4x)is5andπ2

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