Question: a) If f(x) = (x+2) 5 , find the linear approximation L(x) at x = 0 and use it to approximate for (2.001) 5 .

a) If f(x) = (x+2)⁵, find the linear approximation L(x) at x = 0 and use it to approximate for (2.001)⁵.

b) If the value is v(t) = 80t + 1000, where t is measured in years. There is a continuous compounded interest from the bank at a rate of 3% per year. At how many years to maximize the value?

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