a. Write the equation of the line that represents the linear approximation to the following function at the given point a. b. Use the linear approximation to estimate the given quantity. |approximation - exact c. Compute the percent error in the approximation, 100 . | exact] , where the exact value is given by a calculator. f(x) = 4eat a = 0; f(0.02) . . . a. L(x) =4 Approximate the change in the volume of a sphere when its radius changes from r = 20 ft to r= 20.02 ft [V(r) = Ears]. Use a linear approximation. When r changes from 20 ft to 20.02 ft. AV 2: El ft3. (Type an integer or a decimal. Round to the nearest hundredth as needed.) Z Approximate the change in the atmospheric pressure when the altitude increases from z = 6 km to z = 6.05 km using the formula P(z) = 1000a 10 . Use a linear approximation. From z = 6 km to z= 6.05 km, the change in atmospheric pressure is approximately (Type an exact answer.)