Solve the following: a. If z = sin(5x + 3y) Find and dx dz ду b. If z=(3x+2y) (4x-5y) Find Oz dz and 8x by c. A cylinder has dimensions r=5 cm, h=12 cm. Find the approximate increase in volume when r increases by 0.2 cm and h decreases by 0.3 cm. d. The radius of a cylinder increases at the rate of 0.2 cm/s while the height decreases at the rate of 0.4 cm/s. Find the rate at which the volume is changing at the instant when r = 8 cm and h = 12 cm. e. If z=sin(x + y); x = u² + v²; y = 2uv Find dz and อน av