PLEASE HELP Find the linear approximation of the function f(x) = root4-x at a =

Question

PLEASE HELP

Find the linear approximation of the function f(x) = root4-x at a = 0 and use it to approximate the numbers root3.9 and root3.99. (Round your answers to four decimal places.) Use the Linear Approximation to estimate Deltaf = f(l.l) - f( 1) for f(x) = ln(x5 + 9). (Round your answer to six decimal places.) Estimate the actual change. (Round your answer to six decimal places.) Compute the error in the Linear Approximation. (Round your answer to six decimal places.) Compute the percentage error in the Linear Approximation. (Round your answer to two decimal places.)

Explanation / Answer

L(x) = 2 - 1/4(x)

since you are looking for v3.9, substitute x = 0.1, so that 4 - 0.1 = 3.9

L(0.1) = f(3.9) = 2 - (0.1/4)

= 1.975

now substitute x = 0.01

L(0.01) = f(3.99) = 2 - (0.01/4)

= 1.9975

I am not sure how to do second question :///

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