142 on-line information

Math 142

Assignment 10: Multivariable
covers 8.1, 8.2, 8.3

Question #1: Be careful of what product is assigned with what variable.
Question #2: watch for the units for the dollars and cars.
Question #5: very messy to enter. be carful.
Question #6: This question is a bonus. Look at the definitions on page 481 of the book if you want to try it.
Question #7: simplify after taking f_x and before taking f_xx
questions #11-#15: are a survey of the on-line homework problems and what you thought of them.

Assignment 09 is considered a bonus assignment. If your grade on this assignment is higher than your lowest electronic homework grade, then it will replace that grade.

Assignment 08 Indefinite Integrals
covers material 6.1, 6.2

some of these questions are messy. be careful with how you enter the information into the computer.
- Question 1-5 are from section 6.1
- Questions 6-9 are from section 6.2
- Question 9 will be a bonus. It is like the last questions that was in the class notes in section 6.2 but can be a messy question.
For #10: be careful with the units. Also remember that when you take an antiderivative to add the +C. you need to solve for the C before you can evaluate the function. In order to solve for C you need to answer the question: What is the revenue when you sell 0 items?(see your class notes for an example

Assignment 07 Applications of Derivatives
covers material 5.4, 5.5, 5.6

For #2: Check for a horizontal asymptote.
For #3, the graphs are a little on the small side, so it might be difficult to read the numbers along the x- and y-axes. sorry but I don't know of anything that can be done to fix this.
For #4 wants an EXACT answer. Don't give an answer in decimals. You are looking only for a single number.
For #5, it is looking for an x-value.
For #6: Assume that the house is as long as needed, i.e. longer than the side for the garden.
For #7: Assume that the stucture is as long as needed, i.e. longer than the side for the area that will be fenced in.
For #8: The volume of a right circular cylindar is V = pi*r²*h, where r = radius and h = height. The surface area of a right circular cylinder is given by
A = 2*pi*r*h + 2*pi*r². (A similiar problem will be covered in the Fall 2007 Week-in-Review #11. that was covered by Amy Collins.)
For #9 and #10: Look at the class notes over the max/min word problems.

Assignment 06 Derivative Rules
covers material 4.2, 4.3, 4.4, 5.1, 5.2

Be careful with how you enter the derivatives. If you miss the question, be sure that you check with the rules and also check to see if you need parentheses.
For #2: Use logarithm rules to simplify before taking the derivative. This will make typing the answer easier.
For #8: You might consider guessing on the question the first time and looking at the solutions to see which ones were correct.
Question 9 is from section 5.1
question 10 is from 5.2

Assignment 05 Rates of Change
covers material from 3.4, 3.5, 3.7, 4.1 and 4.2

Question 3 and
For #1: BE VERY CAREFUL WITH THE UNITS. You will have to convert to the correct units on your final answer.
For #2: Be careful with the lines with negative slopes. Think about how a line with a slope of -5 and a line with a slope of -2 will differ. This question is NOT talking about the magnitude of the slopes.
For #3. This question will count as a bonus. If you decide to try it, then know that the A, B, and C are different parts of the work that ocures during the definition of the derivative. See the book for this type of problem.
For #4: Don't try to simplify the derivative. Use your calculator to help with the evaluation after you take a derivative.
For #7. From section 4.1.
For #8: If you miss this one, look back at the class notes from section 3.7
Questions 7, 9 and 10 involve material from chapter 4.

Assignment 04 Limits
covers material from 3.1-3.3

For #5, if you miss one of the answers, then iLRN might be looking for more decimal places.
For #6, enter you answer as a fraction or a decimal with 4 decimal digits.
For #7, enter your answer as a fraction. Do not use a decimal.
For #10, use interval notation for your answer. If the answer is more than one interval, be sure that you use the union symbol, U.

Assignment 03: Exponentials and Logarithms

Finding the EXACT value of x means that you cannot enter a decimal approximation! You have to solve for x by hand, not on your calculator, and enter in the exact value you find, even if is a decimal number divided by another decimal number. The problems that ask for an EXACT value of x are 2, 3, and 6.
For #1, use exponential regression on your calculator; the formula is y=ab^x, you are finding b.
For #3, if you don't know how to solve the problem, go to the practice homework problems on my web site and and click on the "Supplemental homework problems" link. Then to go "Section 2.5 - Logarithmic Functions", and look at problems #37-39. They are similar problems, and the solutions to these problems are also posted. You also need to get the bases of all of the exponentials to the same power.
In #7, you are reporting a price, which is money, so your answer should be entered as an approximation rounded to 2 decimal places.
In #8, use exponentail gression on the calculator. Be careful with rounding. Make sure you follow the directions of the problem and round your formula to 5 decimal digits.

Assignment 02: Polynomials and Rationals

Be carefull when rounding the numbers in formulas. Rounding should be the done only on the last step (unless told to do so in the problem). For example in #3 don't round the formula or else you will miss the final answer.
These questions will be considered bonus.
- Question 6: curve shifting
- Question 8: solving an inequality
- Question 10: multiplying polynomials

Assignment 01 will not be assigned.