Question

Let ?(x) = 3√x


Let f(x) = VX
(a) Find the linearization of f(x)centered at c = 1000 Call it
L(x).
(b) Use your linearization to approximate VT000.051
(c) A standard calculator returns VTO00.051 = 10.000169997
to 10 decimal places. What is the error of your linear
approximation (to 10 decimal places)?
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Transcribed Image Text

Let f(x) = VX (a) Find the linearization of f(x)centered at c = 1000 Call it L(x). (b) Use your linearization to approximate VT000.051 (c) A standard calculator returns VTO00.051 = 10.000169997 to 10 decimal places. What is the error of your linear approximation (to 10 decimal places)?