with detailed solution

3. Water is being poured at the rate of 2:: m' I min into an inverted conical tank that is 12-meter deep 4. with a radius of 6 meters at the top. If the water level is rising at the rate of gm! min and there is a leak at the bottom of the tank. how fast is the water leaking when the water is B-meter deep? A baseball diamond has the shape of a square with sides 9-0 ft long. A player 60 ft from sewnd base is running towards third base at a speed of 23 lmin. At what rate is the player's distance from the home plate changing? 5. A ladder. inclined at 60 with the horizontal is leaning against a vertical wall. The foot of the ladder is 3 meters away from the foot of the wall. A boy climbs the ladder such that his distance 2 meters with respect to the foot of the ladder is given by z = 8!. where tis the time in seconds. Find the rate at which his vertical distance from the ground changes with respect to t. Find the rate at which his distance from the foot of the wall is changing with respect to twhen he is 3 rn away from the foot of the ladder