Estimations with linear approximation ?Use linear approximations to estimate the following quantities. Choose a value of a to produce a small error. 1 ?510

Solution 21E STEP 1 Linear approximation is a method of estimating the value of a function,f(x),near a point x=a,using the formula L(x) = f(a) + f ()(x a) STEP 2 3 Here,let f(x) = 1/ x;and choose a=512 We get f () = 14 3x3 f(a) = 3 1 = 8 and f(a) = 1 4 = 3×4096...