Exam 7: Exponential Functions

The population of a country was in and in . The population doubling time is:

How much money will an investment of $12,000 be worth in 25 years if it is invested in a bank earning 5.3% interest compounded quarterly?

Solve:

A frozen turkey with an initial temperature of F is placed into a hot oven. After 1 h, the temperature of the turkey is F. After 3 h, the temperature is F. What is the temperature of the oven?

Calculate the integrals: A) B)

Evaluate the limits using L'Hopital's Rule A) B)

Evaluate the definite integrals: A) B) C)

Find and such that the line is tangent to at .

Find the slope of the function at . To find use the equality or use a calculator.

Let be the inverse of . Use the geometric relation between the graphs of inverse functions to compute the integral .

The values of and , such that the function is continuous for all are

Ben has in his account earning interest at an annual rate of compounded monthly. How much money was in his account 3 years ago?

Bob deposits to a bank account with an annual interest rate of . The interest is compounded continuously. How much money will Bob earn after 5 years?

Find the limits using L'Hopital's Rule: A) B)

The rate of change of the following function is proportional to .

Compute the definite integral using the substitution To find , use the identity or use a calculator.

The derivative of is:

Find the slope of the tangent line to the graph of the function at To find , use the equality or use a calculator.

At 7:00 a.m., a mug of hot chocolate with initial temperature of C is placed on a table in a room held at C. At 7:45 a.m., the temperature of the hot chocolate is C. Express the temperature of the hot chocolate as a function of , the number of hours since 7:00 a.m.

Find the horizontal asymptote(s) of the function .