in2r . dr YA Related rates Assignment Name_ Shafiq Due Date 1. When a small pebbe is droped in a pool of still water, it produces a circular wave that travels outward at a constant speed of 15cm/s. At what rate is the area inside the wave increasing a) when the radius is 5cm ? b) when the area is 400TCM ? c) when 4s have elapsed? 2. Water is flowing out of a cylindrical storage tank at rate of 2m'/ min. If the tank has a radius of 8m, how fast is the water level falling? 3. Sand pouring from a conveyor belt forms a conical pile, the radius of which is 3/4 of the height. If the sand is piling up at a constant rate of 1/2m'/ min, at what rate is the height of the pile growing 3min after pouring starts? 4. The combined electrical resistance R resulting from the resistances R, and R2 connected in parallel is R = RT + 7 . R1 and R2 are increasing at rates of 1 and 1.5 ohms/s respectively. At what rate is R increasing when R1 = 50ohms and R2 = 75ohms ? 5. A ladder 6m long leaning against a wall begins to slaide. How fast is the top of the ladder falling, when the bottom of the ladder is 4m from the wall and sliding at a speed of 1 m/s? ladder 6