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  3. 1: given that f(4) = 6 and f'(x) = 2/x2+9 for all

1: Given that f(4) = 6 and f'(x) = 2/x2+9 for all x. a) Use a linear...

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Basic Math

1:

Given that f(4) = 6 and f'(x) = 2/x2+9 for all x.

a) Use a linear approximation or differentials to estimatef(4.04)

b) Is your estimate in part (a) too large or too small?Explain.

2:

a) Given f(x) = (x + 3)sinx, find f'(Ï€) usinglogarithmic differentiation.

b) Find the value of h'(0) if h(x)+xsin(h(x))=x2+4x-Ï€/2

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