dT Write a differential equation of the form = f'(t) (for instance, = -k(T - A) or dx dt dt kP) that is a mathematical model of the situation described: dP dt The time rate of change of a population P is proportional to (a scalar multiple of) the square root of P. ||

What is an example of a quantitative problem that can be solve by using a single variable eqution equation.

4/3 P = 3/5 12. ACE AI 3c-2 c²-4cc-4 CASIO C -1

You have a job where you are helping track revenue and sales. Suppose that p is the price in dollars of a gadget and q = f(p) is the quantity sold (in hundreds). Then the revenue (in thousands of dollars) is given by R = p · f(p), depending on the price. Match the mathematical expression below with the best interpretation. I. f' (15) = 3 1. If the price increases from $15 to $16 then the company expects revenue to increase by about 3 thousand dollars. 2. If the price increases from $15 to $20 then the revenue will increase by about 60 thousand dollars. 3. If the price increases from $15 to $20 then the company expects to sell 3 hundred more gadgets. When the company sells 3 hundred gadgets, the price is $60 each. 5. If the price increases from $15 to $16 then the company expects to sell about 3 hundred more gadgets. Your fellow intern claims that if f' (p) is negative then the revenue will decrease as well. In a sentence or two, briefly explain if this statement is necessarily true or…