A tank contains 100 L of UC Davis CoHo iced tea with 8kg of sugar. Unsweetened iced tea enters the tankat a rate of 2 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) Write down differential equation for the amount of sugar in the tank as the function of time and state the initial condition. (5 points) y
(b) Solve the initial value problem from part (a). If you do not trust what you wrote down in part (a), dy you can instead solve 5 y(0) = 10. Note that this is NOT a correct solution to part (a). dt 20'
(c) Find all equilibria of your differential equation and determine their stability.
(d) How much sugar is going to be left in the tank after the long time has passed? How does your answer compare to your answer in part (c)?

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

Atriangle in the coordinates of (2,3), (-4,5) and (-2,4) it is translated 3 units down. what are it’s new coordinates

If a revenue in total for a month was $9,950, fixed expenses were $9,000, and variable expenses were $300 what would be the total profit/ loss for the month?