(1 point) Find the derivative with respect to the independent variable. f (x) = ex-4 sin (x) (x5 + 6) 5x f' (x ) =(1 point) The diameter of a spherical tumor was measured to be 16 mm. If the diameter increases by 0.5 mm, use linear approximations to estimate the relative changes in the volume (V = gm) and surface area (S = 477r2). Relative change in volume is 55! Relative change in surface area is 555 (1 point) Approximate the value of (4.9)3 using a tangent line approximation. (4-9)3 = 617.5 555 (Enter your answer as a fraction or a mixed number. You do not need to reduce to lowest terms.) (1 point) Approximate the value of tan 0.09 using a tangent line approximation. tan0.09 2 (Enter your answer as a fraction or a mixed number. You do not need to reduce to lowest terms.) (1 point) Find the linear approximation of the function g(x) = 16/1 +Y at a = O and use it to approximate the numbers {70.94 and {71.7. Linear approximation is L(x) = 1+1/6(x0) {70.94 x 1.017 917 = 1.283