Questions from General Calculus

Q: Find the percentage rate of change of the function f (p

Find the percentage rate of change of the function f (p) = 1/(3p + 1) at p = 1.

Q: Solve the following equations for x. 52x = 52

Solve the following equations for x. 52x = 52

Q: A company can sell q = 1000p2e-0.02(

A company can sell q = 1000p2e-0.02(p+5) calculators at a price of p dollars per calculator. The current price is $200. If the price is decreased, will the revenue increase or decrease?

Q: Consider a demand function of the form q = ae-bp

Consider a demand function of the form q = ae-bp, where a and b are positive numbers. Find E(p), and show that the elasticity equals 1 when p = 1/b.

Q: Refer to Check Your Understanding 5.4. Out of 100

Refer to Check Your Understanding 5.4. Out of 100 doctors in Group A, none knew about the drug at time t = 0, but 66 of them were familiar with the drug after 13 months. Find the formula for f (t). C...

Q: The growth of the yellow nutsedge weed is described by a logistic

The growth of the yellow nutsedge weed is described by a logistic growth formula f (t) of type (9) in Section 5.4. A typical weed has length 8 centimeters after 9 days and length 48 centimeters after...

Q: When a rod of molten steel with a temperature of 1800˚F is

When a rod of molten steel with a temperature of 1800ËšF is placed in a large vat of water at temperature 60F, the temperature of the rod after t seconds is f (t) = 60(1 + 29e-0.15t)Ë&#...

Q: Compute d/dx f (g (x)), where f

Compute d/dx f (g (x)), where f (x) and g (x) are: f (x) = 1/(1 + √x), g (x) = 1/x

Q: Find the present value of $10,000 payable at the

Find the present value of $10,000 payable at the end of 5 years if money can be invested at 12% with interest compounded continuously.

Q: One thousand dollars is deposited in a savings account at 10%

One thousand dollars is deposited in a savings account at 10% interest compounded continuously. How many years are required for the balance in the account to reach $3000?