Use linear approximation, i.e. the tangent line, to approximate V 81.1 as follows: Let f(a:) = J; Find the equation of the tangent line to x) at :1: = 81 L0\") = Using this, we find our approximation for V81.1 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer. 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(ac) = and find 0.102 1 the equation of the tangent line to f(a) at a "nice" point near 0.102. Then use this to approximate 0.102Find the linear approximation of f(m) = 111:1: at a: = 1 and use it to estimate 1n(1.33). we: ln(1.33) m :J \fUse linear approximation, i.e. the tangent line, to approximate v3 64.4 as follows: Let f(:E) = {75. The equation of the tangent line to f(:15) at a: = 64 can be written in the form y=mm+b Using this, we find our approximation for v3 64.4 is [: Use linear approximation, i.e. the tangent line, to approximate 3.63 as follows: Let at) 2 :33. Find the equation of the tangent line to at) at a: = 4 W) = S Using this, we find our approximation for 3.63 is :] Let y = 5x2. Find the change in y, Ay when x = 1 and Ax = 0.1 Find the differential dy when x = 1 and dx = 0.1Use linear approximation, i.e. the tangent line, to approximate 3.83 as follows: Let f(:v) = 1:3. The equation of the tangent line to f(:1:) at a: = 4 can be written in the form 3; 2 ma: + b Using this, we find our approximation for 3.83 is Let y = 2vx. Find the change in y, Ay when a = 4 and Ax = 0.1 Find the differential dy when x = 4 and dx = 0.1Use linear approximation, i.e. the tangent line, to approximate 19.32 as follows: Let at) = 2:2 and find the equation of the tangent line to f(a:) at m = 19. Using this, find your approximation for 19.32 l: