A skyrocket firework burns fuel as it climbs. Its mass, m(h) kg, at height h m is given by m(h)=0.96+ 0.065 1+h . m(h)=0.96+0.0651+h.(a) What is the mass of the rocket at h = 0 just before it is launched?(b) Show that the mass decreases as the rocket climbs.(c) What work would be required to lift the rocket 10 m if its mass did not decrease?(d) Approximate the work done as the rocket goes from height h to h + ?h.(e) The rocket explodes at h = 250 m. Find total work done by the rocket from launch to explosion