Questions from General Calculus

Q: Suppose that the population density function for a city is 40 e

Suppose that the population density function for a city is 40 e-0.5t thousand people per square mile. Let P(t) be the total population that lives within t miles of the city center, and let t be a smal...

Q: Find the present value of a continuous stream of income over 5

Find the present value of a continuous stream of income over 5 years when the rate of income is constant at $35,000 per year and the interest rate is 7%.

Q: A continuous stream of income is being produced at the constant rate

A continuous stream of income is being produced at the constant rate of $60,000 per year. Find the present value of the income generated during the time from t = 2 to t = 6 years, with a 6% interest r...

Q: Find the present value of a continuous stream of income over the

Find the present value of a continuous stream of income over the time from t = 1 to t = 5 years when the interest rate is 10% and the income is produced at the rate of $12,000 per year.

Q: Find the present value of a continuous stream of income over 4

Find the present value of a continuous stream of income over 4 years if the rate of income is 25 e-0.02t thousand dollars per year at time t and the interest rate is 8%.

Q: Determine if the given expression approaches a limit as b → ∞,

Determine if the given expression approaches a limit as b → ∞, and find that number when it does. 5 - (b - 1)-1

Q: Determine if the given expression approaches a limit as b → ∞,

Determine if the given expression approaches a limit as b → ∞, and find that number when it does. 5 (b2 + 3)-1

Q: Determine if the given expression approaches a limit as b → ∞,

Determine if the given expression approaches a limit as b → ∞, and find that number when it does. 4 (1 - b-3/4)

Q: Determine if the given expression approaches a limit as b → ∞,

Determine if the given expression approaches a limit as b → ∞, and find that number when it does. e-b/2 + 5

Q: Determine if the given expression approaches a limit as b → ∞,

Determine if the given expression approaches a limit as b → ∞, and find that number when it does. 2 - e-3b