Homework due 03/02/09

Do problems 25, 27, & 33 on pages 212-213 of your textbook. Also, keep in mind that you will have a test on related rates on Wednesday of next week.

Answers for Question 24 on Page 212

(a) z^2 = 0.25 + x^2. Therefore, z = square root of (0.25 +x^2)

(b) dz/dt = 0.693 km/min

(c) 0.4 radians/min

Homework due 02/26/09

Do problem 20 on page 212.

Quiz on Friday, February 27th

You will have a quiz on Related Rates and also on the technique of Implicit Differentiation.

Homework due 02/24/09

Do problems 18, 19 and 21 on page 212 of your textbook.

Things to Remember When Approaching Related Rates Problems:

Make sure to first determine all that you know about a situation, i.e. determine what quantities are changing and which ones are fixed. It is best to draw various diagrams in certain cases. Write down any rates given to you as derivatives in Leibnitz's notation. Then determine what the question is asking for. If it is a rate then is there a particular moment they want the rate for or is it just an expression? If you are not using implicit differentiation then try and get the "setup" as I described it by making the rate you want equal to a product of two rates, one given and one to be determined. If you are using implicit differentiation then make sure you are differentiating with respect to the desired variable (in most cases time).

Take-Home Test Discussion Post

You may address queries about questions on the Optimization test by commenting to this post. Please be careful not to share answers or entire solutions. Responses should be providing hints by guiding peers towards what to think about when attacking a problem. You may also want to refer to the post that provides tips for handling optimization problems.

Implicit Differentiation

Please make sure to review your class notes and understand the new technique we learned today so that you are not completely lost in Thursday's block class.

Homework due 02/05/09

Do problems 21 and 32 from pages 203-204.