Questions from General Calculus


Q: A sample of radioactive material decays over time (measured in hours

A sample of radioactive material decays over time (measured in hours) with decay constant .2. The graph of the exponential function y = P(t) in Fig. 7 gives the number of grams remaining after t hours...

See Answer

Q: An investment earns 4.2% yearly interest compounded continuously.

An investment earns 4.2% yearly interest compounded continuously. How fast is the investment growing when its value is $9000?

See Answer

Q: An investment earns 5.1% yearly interest compounded continuously and

An investment earns 5.1% yearly interest compounded continuously and is currently growing at the rate of $765 per year. What is the current value of the investment?

See Answer

Q: One thousand dollars is deposited in a savings account at 6%

One thousand dollars is deposited in a savings account at 6% yearly interest compounded continuously. How many years are required for the balance in the account to reach $2500?

See Answer

Q: Ten thousand dollars is invested at 6.5% interest compounded

Ten thousand dollars is invested at 6.5% interest compounded continuously. When will the investment be worth $41,787?

See Answer

Q: Find the inflection points on the graph of y = 1/(

Find the inflection points on the graph of y = 1/(x2 + 1). (See Fig. 2.) Figure 2:

See Answer

Q: One hundred shares of a technology stock were purchased on January 2

One hundred shares of a technology stock were purchased on January 2, 1990, for $1200 and sold on January 2, 1998, for $12,500. What rate of interest compounded continuously did this investment earn?...

See Answer

Q: Compute f (g (x)), where f (x)

Compute f (g (x)), where f (x) and g (x) are the following: f (x) = x/x + 1, g (x) = x3

See Answer

Q: Compute f (g (x)), where f (x)

Compute f (g (x)), where f (x) and g (x) are the following: f (x) = x - 1, g (x) = 1/x + 1

See Answer

Q: Suppose that x and y are related by the given equation and

Suppose that x and y are related by the given equation and use implicit differentiation to determine dy/dx. x4 + (y + 3)4 = x2

See Answer