Questions from College Mathematics

Q: Find the amount A in an account after t years if

Find the amount A in an account after t years if

Q: The marginal price dp/dx at x units of supply per

The marginal price dp/dx at x units of supply per day is proportional to the price p. There is no supply at a price of $20 per unit [p(0) = 20], and there is a daily supply of 40 units at a price of $...

Q: A company is trying to expose a new product to as many

A company is trying to expose a new product to as many people as possible through online ads. Suppose that the rate of exposure to new people is proportional to the number of those who have not seen t...

Q: Under certain assumptions, the blood pressure P in the largest artery

Under certain assumptions, the blood pressure P in the largest artery in the human body (the aorta) changes between beats with respect to time t according to where a is a constant. Find P = P(t) tha...

Q: A community of 10,000 people is homogeneously mixed. One

A community of 10,000 people is homogeneously mixed. One person who has just returned from another community has influenza. Assume that the home community has not had influenza shots and all are susce...

Q: Many countries have banned the use of the insecticide DDT because of

Many countries have banned the use of the insecticide DDT because of its long-term adverse effects. Five years after a particular country stopped using DDT, the amount of DDT in the ecosystem had decl...

Q: For a person learning to type, the number N of words

For a person learning to type, the number N of words per minute that the person could type after t hours of practice was given by the limited growth function N = 1001(1 - e-0.02t ) What is the rate...

Q: The Weber–Fechner law concerns a person’s sensed perception of various

The Weber–Fechner law concerns a person’s sensed perception of various strengths of stimulation involving weights, sound, light, shock, taste, and so on. One form o...

Q: discuss the validity of each statement. If the statement is always

discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample. If a Markov chain has exactly two states and at least one absorbing state, then it...

Q: Express the relationship between = (x) and (x)

Express the relationship between = (x) and (x) in words, and write a differential equation that (x) satisfies. For example, the derivative...