MATH 200X
Fall 2007

Written Assignment Guidelines

Assignment #10
All the problems here are optimization problems. In every problem you need to include (and make clear) the following:
1. What quantity you are maximizing or minimizing and what any other variables in you problem mean (a picture is often sufficient here)
2. Your quantity written clearly as a function of a single variable along with the DOMAIN of this function
3. Explanation regarding how you know your critical point is a maximum or minimum. (That is, you must show that you have performed the first derivative test or the second derivative test if you prefer.)
4. Your actual ANSWER TO THE QUESTION in a box with units if appropriate.

NO CREDIT will be given for answers without work.

Assignment #9

SECTION 4.3
For the last five problems in section 4.3, you will have done ALL the analysis on WebAssign by Monday. In particular, solutions to these are provided on WebAssign by Tuesday so you can use a correct analysis to sketch the graphs.
When sketching these graphs, you want to include the details obtained from your analysis. Specifically, you should include:
the x- and y-axis (labeled)
the x and y coordinates of all local extrema and inflection points
correct x and y intercepts
correct concavity and smoothness
any asymptotes (clearly labeled)

SECTION 4.4
When you are evaluating a limit using L'Hospital's Rule, you need to:
1. IDENTIFY what indeterminant form the limit has (0/0 or infinity/infinity)
2. Put an "H" above the equals sign to show when exactly you are applying the rule.
That is, you should write them down as we did in class...

SECTION 4.5
Notice that 3 out of the 6 problems are odd so you can check your answers in the back of the book. YOU SHOULD STILL DO ALL THESE PROBLEMS. I will have Beth check to see if you wrote them up.
DO NOT WRITE ALL YOUR WORK ON THE PAGES YOU TURN IN. You should write them as we have in class. Specifically, for each graph, you should have the following table of information:
1. f, f',f'' simplified
2. domain and intercepts
3. symmetry
4. asymptotes
5. intervals of increase or decrease
6. local extrema
7. intervals where f is concave up and down
8. inflection points

Then sketch the graph, including the information above.

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Assignment #4
In general, make sure to use the material IN THESE SECTIONS. If you are finding a derivative, you  must use the definition and not some other method. When using the definition, you must write you limits properly (see expectations for assignment #3). You graphs should be carefully drawn and large enough to include appropriate detail.

Assignment #3
section 2.3
#8. READ THE DIRECTIONS. You must JUSTIFY each step using Limit Laws (like ones we did in class).
#14 and 30. HOW you write your answer matters. Here are things we will look for
          Correct use of the equal sign
          Correct use of the limit notation (don't leave off the little arrow or the "lim")
          Does the "lim" symbol "dissappear" at the right time?
#48 Sketch a CAREFUL graph. Label axes. Label appropriate points on your graph. It should be large enough to include these details.

section 2.5
Read the directions. Many of these ask you to EXPLAIN. It will not be enough to write down numbers or equations. You will need to explain what they mean and how they answer the question.