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Question

If x=Acos4t+Bsin4t then d2xdt2 is equal to:

A
-16x
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B
16x
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C
x
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D
-x
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Solution

The correct option is A -16x
x=Acos4t+Bsin4t ..(1)
dxdt=4Asin4t+4Bcos4t
d2xdt2=16Acos4t16Bsin4t=16x use (1)

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