Question: Use linear approximation, i.e. the tangent line, to approximate 1/ 16.1 as follows: Let at) 2 . Find the equation of the tangent line to

Use linear approximation, i.e. the tangent line, to approximate 1/ 16.1 as follows: Let at) 2 . Find the equation of the tangent line to at) at m = 16 L0\") = Using this, we find our approximation for 16.1 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer. 1 . 2 as follows: Let f(m) = E and find 1 1.002 Use linear approximation, i.e. the tangent line, to approximate the equation of the tangent line to at) at a "nice" point near 1.002. Then use this to approximate Find the linear approximation of f(x) = Inx at x = 1 and use it to estimate In(1.15). L(ac) = In(1.15) ~The circumference of a sphere was measured to be 89 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. :] Estimate the relative error in the calculated surface area. :] \fLet y = 4x2. Find the change in y, Ay when x = 2 and Ax = 0.3 Find the differential dy when x = 2 and dx = 0.3Let y = 5 x. Find the change in y, Ay when x = 4 and Ax = 0.1 Find the differential dy when x = 4 and dx = 0.1Find the differental of: y = - 2x" + 8x 9 dy =9 .x Find the differential of: y = - 3e dy =Find the differential of: y = 6 sin(8 . x dy=

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