Hello! I know this is a lot to do you. However, I would greatly appreciate it if someone helped me solve these and also, please show work. I do not need these answers right away so, take your time! Thank you!

HW 28 Differential Equations: Problem 6 (1 point) A cat, walking along the window ledge of a New York apartment, knocks off a flower pot, which falls to the street 330 feet below. How fast is the flower pot traveling when it hits the street? (Give your answer in W5 and in mi/hr, given that the acceleration due to gravity is 32 We2 and 1 fl/s = 15/22 mi/hr.) Speed when hitting the ground: EEE fl/s Speed when hitting the ground: 555 mph (1 point) A revenue R(p) is obtained by a farmer from selling grain at price p dollars per unit. The marginal revenue is given by R' (p) = 30 2p. 5:) Find R(p). (Assume revenue is zero when price is zero.\\) R(p) = 555 b) For what prices does the revenue increase as the price increases? For what prices does the revenue decrease as price increases? Revenue increases as price increases: Revenue decreases as price increases: 555 c) At what price does the farmer obtain the most revenue? Price for most revenue: 555 dollars HW 28 Differential Equations: Problem 3 (1 point) A stone thrown upward from the top of a 300 foot cliff at 136 ft/sec eventually falls to the beach below. Note: the acceleration due to gravity is a constant 32 ft/secz. It may help to try and find a formula for the height as a function of t. a) How long does the stone take to reach its maximum height? Time to maximum height: ::: seconds b) What is the maximum height reached by the stone? Maximum height: ::: feet c) How long does it take for the stone to hit the beach? Time to hit the beach: ::: seconds d) What is the velocity of the stone on impact? Velocity on impact: ::: ft/sec