Use linear approximation, i.e. the tangent line, to approximate V251 as follows: Let HI] = 1,5.Find the equation of the tangent line to st) at I = 2-5 new: Using this, we find our approximation for v 25.] 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 0.254 as follows: Let f(x) = and find the equation of the tangent line to f(x) at a "nice" point near 0.254. Then use this to approximate 1 0.254Find the linear approximation of f() = Inx at = = 1 and use it to estimate In (1.49). L(x) = In(1.49) ~Given the function below f(x) = V144x3 + 72 Find the equation of the tangent line to the graph of the function at x = 1. Answer in ma + b form. L(x) Use the tangent line to approximate f(1.1). L(1.1) Compute the actual value of f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only | error | ~ (Approximate to at least 5 decimal places.)The circumference of a sphere was measured to be T3 cm 1with 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 = 4x-. Find the change in y, Ay when a = 3 and Ar = 0.1 Find the differential dy when = = 3 and de = 0.1Let y = 3va. Find the change in y, Ay when a = 1 and Ac = 0.4 Find the differential dy when = = 1 and de = 0.4Let y = sin(5x). If Ax = 0.2 at x = 0, use linear approximation to estimate Ay Find the percentage error error =