5) Water is being poured at a rate of 10 cubic feet per minute into a conical reservoir which is 15 feet deep and has a radius on top of 5 feet. a) In how much time will the reservoir be filled? b) What is the rate at which the water level is rising when the water is 2 feet deep? c) What is the rate at which the water level is rising when the water is 15 feet deep? 5 15 6) Use Newton's method to find all solutions of the following equation to 2 decimal places. A plot can be helpful to choose a good starting value for x.. 3 + x= ex 7) Suppose the specifications for construction of a cube are that it have a surface area of 67 + 0. 1 cm?. How long should each side be and how much variance can a side have in order to meet the specifications