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Find the linearizatien of the function f(:1:) : {7E at x = 2? and use it to evaluate 1.3,! 27.1. [Round your answer to 4 decimal places.) If a spherical balloon is inflated, and its volume is increasing at a rate of 6 in /min, what is the rate of change of the radius when the radius is 3 in?Compute A y and dy for y = f (a) = when x = 2 and A x = dx = 0.1. (Round each answer to 5 decimal places.) Ay = -0.017280 dy = -0.017889\fThe volume of a sphere is given by V = i. Find the differential of V "A" Choose from the following. Enter your answer as "A", "B", ..) A. dV=4mr2 dr B. dV=4mr3 dr C. dV=4mr2 dx D. dV=4/3mr2 dr E. dV=4/3mr2 dt ii. Use the differential of V to approximate the change in the Volume as the r value is increased from 4 to 4.1 inches. 3.35103