Math problems

Question # 00014322 Posted By: spqr Updated on: 05/02/2014 07:14 PM Due on: 05/28/2014
Subject Mathematics Topic General Mathematics Tutorials:
Question
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1. (2 pts each) Look at the graphs in exercises #36, 44, 63, 66, 68 on pages 88-89 in Section 1.2.

For each graph, does it represent a one-to-one function? (Yes or No?) (no explanation required)

1a. #36_______ 1b. #44________ 1c. #63_______ 1d. #66_______ 1e. #68_______

2. (6 pts) Psychologist use and exponential model of the learning process, where cis the total number of tasks to be learned, kis the rate of learning expressed as a decinal, t is time in days, and f(t) is the number of tasks learned.

Suppose you are required to learn new 25 tasks for a new job assignment and the rate of learning new tasks in this job assignment is 20%, how many of the tasks will you have learned in 7 days? Show work, round your final answer to the nearest whole number.

3. (6 pts) $15,000 is invested in an account paying 2.5% annual interest compounded quarterly.

Find the amount of money in the account at the end of 10 years. Show work, round your final answer to the nearest penny.

(Use the compound interest formula found in Example 4 on page 404.)

4. (2 pts) Convert to a logarithmic equation: 8x = 2401. (no work required)

5. (10 pts) Express in terms of sums and differences of logarithms: Show work.

6. (6 pts) The formula for a rockets maximum velocity is given by the formula:, where v is the rockets velocity, t is the firing time in seconds, c is the velocity of the exhaust, and R is the ratio of the mass of the rocket filled with fuel to the mass of rocket without fuel.

Find the maximum velocity of a rocket with a mass ratio of 20, and exhaust velocity of 2.7 km/s and a firing time of 10 s. Show work, round your final answer to the nearest hundredth.

7. (2 pts each ) Use a calculator (standard scientific calculator or an online graphing calculator) to find each of the following numerical values.Write your answer rounded to 4 decimal places (i.e., the nearest ten thousandth).

(a) 16 –2.8

(b) e 3.72

(c) ln(2,456)

8a. (2 pts) _______ (fill in the blank)

For parts 8b and 8c, let.

8b. (2 pts) Write the exponential form of the equation.

8c. (6 pts) Determine the numerical value of x, in simplest form. Show work.

9. (10 pts) Use composition of functions to show that the functions

and are inverse functions.

That is, carefully show thatand show that. Show work.

10. Let

(a. 10 pts) Find the inverse function of f. Show work.

(b. 6 pts) What is the domain of f? What is the domain of the inverse function?

11. (3 pts each) Letf(x) = ex – 1.

Answers can be stated without additional work/explanation.

(a) The graph of f is transformations of the graph of y = ex . Describe the transformations.

(b) What is the y-intercept?

(c) What is the domain of f?

(d) What is the range of f?

(e) What is the horizontal asymptote?

(f) Which is the graph of f? ________

Section 5.5

Exponential Equation

Solve the exponential equation =

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Tutorials for this Question
  1. Tutorial # 00013864 Posted By: spqr Posted on: 05/02/2014 07:15 PM
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    The solution of Math problems...
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