Homework Help:

1,

A storm system is in the Central Texas area and moving in a straight line through Austin. The Weather Service Oice forecasts that t hours after 12 noon the storm will be a distance of s(t) = 15 + 7t - 4t2 miles from Austin. How fast will the storm be moving at 2:00 pm and in what direction will it be moving? a rock is thrown vertically upwards m the surface of the planet Newton with an initial velocity of 4 ft/sec, its height after t seconds is given by h(t) = lit$122. Find the velocity of the stone after it has risen 6 feet. A Calculus student leaves the RLM build- ing and walks in a straight line to the PCL O 1. away from RLM at 20 yds/min Library. His distance from RLM after t min- utes is given (in yards) by the graph O 2. towards RLM at 30 yds/min O 3. towards RLM at 40 yds/min 400+ O 4. away from RLM at 30 yds/min 320+ O 5. away from RLM at 40 yds/min 240+ 160+ 80 2 6 8 10 12 t What is his speed after 3 minutes, and in what direction is he heading at that time?Find the rate at which the area. 0 a sphere is changing with respect to its radius r when r = 2 cm. Find the rate at which the volume of a cube is changing with respect to its side length x O 1. rate = 16 cm3/ cm when x = 3 cm. O 2. rate = 36 cm3/ cm O 3. rate = 24 cm3/ cm O 4. rate = 27 cm3/ cm O 5. rate = 4 cm3/cmIf a tank holds 2000 gallons of water, and the water can drain from the tank in 40 min- utes, then Torricelli's Law gives the volume V of water remaining in the tank after t minutes 88 t 2 V=M(1E) . Find the rate at which water is draining from the tank after 10 minutes