Start with the logistic equation dx dt = kx(m x). suppose we modify our harvesting. that is we will only harvest an amount proportional to current population. in other words, we harvest hx per unit of time for some h > 0 (similar to earlier example with h replaced with hx). a) construct the di erential equation. b) show that if km > h, then the equation is still logistic. c) what happens when km < h?

Malia is observing the velocity of a cyclist at different times. after two hours, the velocity of the cyclist is 15 km/h. after five hours, the velocity of the cyclist is 12 km/h. part a: write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. show your work and define the variables used. (5 points) part b: how can you graph the equations obtained in part a for the first 12 hours? (5 points) if you can try and make this as little confusing as you can

The floor plan of a room has a scale of 2.5 in.: 35 ft. in the drawing, the length of the room is 8 in. and the width of the room is 6 in. what is the perimeter of the actual room?

Eileen purchased 3.4 pounds of apples at the total cost of $19.72. if she purchases 6.2 pounds of apples at this store, how much would it cost?