Harvard University, FAS

Introduction to Functions and Calculus II

 emailbag

 

From: Robin Gottlieb <gottlieb@math.harvard.edu>
Subject: practice exams
Time: 05/21/2001 at 13:58:34

Dear Folks:

There are two errors in the posted answers to the practice final from 1995.

#3: The graph is wrong. (You can see the correct one on your calculator.) The answer is D < B < A < C

Thanks to Jeremiah for catching this.

#7. Label the hypotenuse z. We know dz/dt = -11 and want to find d(theta)/dt when z = 5.
sin(theta) = 3/z
cos(theta) d(theta)/dt = -3z^(-2) dz\dt

Using the info from the moment in question, we find that
d(theta)/dt = 33/20.

Thanks to Maribel for catching this.

On the exam itself #10 should say that density is given per cubic inch not per square inch.

*******************************************
Mark asked for more practice problems, so I am putting up the 1999 final (without pictures) on the website. It should be up soon - and is available for those who feel they want additional practice.

******************************************
General advice: get enough sleep and come to the exam
as fresh and relaxed as possible - ready to think clearly.

best wishes,
Robin

 

 



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