SUBJECT: DIFFERENTIAL CALCULUS

NOTE: I NEED COMPLETE SOLUTIONS AND CORRECT ANSWER.

C. SOLVE THE FOLLOWING APPLICATION PROBLEMS 9. At a certain instant, a right circular cylinder has a radius of 10 cm and altitude of 15 cm. At this instant the radius is decreasing by 5 cm/sec and the altitude is increasing by 4 cm/sec. How fast is the volume changing at this instant. 10. Ajet plane is flying west at 5 feet per sec at an altitude of 4000 feet. The plane is in vertical plane with a search light on the ground. If the light is to be kept on the plane, how fast is the search light revolving (dWBNV/ g; in radians per sec ) when the jet plane is due east of the search light at an airline distance of 2000 feet