Water is leaking from a hole at the bottom of a tank. The height of water in the tank, initially at 25 cm, decreases at a rate proportional to the square root of the height, with a constant of proportionality k. In addition, it is also raining into the top of the tank at a constant rate of r cm/s. (a) Create a mathematical model for this system. (b) Sketch a slope field for your mathematical model, and determine the stability of any equilibrium solutions. Sketch some sample particular solutions.

Urgent! 20 points! here is a you are the new manager at trusty goods wholesale produce. you need to figure out how to adjust the amount of produce in your notes after the events of the day: you got 5 more crates of bananas someone returned 2 crates of apples a worker dropped a crate of grapes (oh no! , you had to throw them out) you sold a crate of bananas you sold 5 crates of apples can you write an expression to describe your day using: "a" for crates of apples "b" for crates of bananas and "g" for crates of grapes? make sure the expression is in simplest form question 2 (3 points) explain your steps using sentences.