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Question

A curve is represented by y=sinx. If x is changed from π3 to π3+π100, find approximately the change in y.

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Solution


y=sinx

The change in the value of y can be obtained as:
So, y+Δy=sin(x+Δx)

Δy=sin(x+Δx)sinx

=(π3+π100)sinπ3=0.0157.

y2y1=Δy=0.0157

896538_967617_ans_c75f9b155af448738571d29d57800a3e.png

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