Write x'" = x + t as a first order system

A patient receives 24 mg of medicine 3 times a day. If the patient takes all of the medicine for 7 days, how many milligrams of medicine will the patient take?

Suppose that dP/dt = 0.19P (t) represents a mathematical model for the growth of a certain cell culture, where P (t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours).

The expression - 5+20 factored is

Solve for y: 12 = y^2 + y

How do i get 5x12-16+12

Each of the p children at a park receive 3 balloons. If the children receive at least 150 balloons in all, find the minimum number of children at the park.

1. z^2 = 1 √{ } = √{ } z = ± { } The solutions are { } and { }

What is the rate for 171 And 3

At the start of the summer, you have $603.15 in the bank. You make deposits of $90.89 in June, $106.03 in July, and $70.04 in August. At the end of the summer, how much money do you have in the bank?

A plane traveling from phoenix to san Francisco with a tailwind of 35 miles per hour takes 2.5 hours. returning with the headwind it takes the same plane 2 hours and 45 minutes. what is the average speed of the plane in calm conditions?