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Midterm

# MATH 32A Study Guide - Midterm Guide: Partial Derivative, Parametric Equation, And1Exam

Department
Mathematics
Course Code
MATH 32A
Professor
All
Study Guide
Midterm

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Math32a/1, R. Kozhan
Midterm 2
Nov 21, 2011
Name:
UID:
Circle your TA and discussion session:
1A-Tues-Mike O’Brien 1C-Tues-Jeﬀ Lin 1E-Tues-Jordy Greenblatt
1B-Thur-Mike O’Brien 1D-Thur-Jeﬀ Lin 1F-Thur-Jordy Greenblatt
Instructions:
If you get stuck, move on to the next question! You don’t have a lot of time.
Show all work if you want to get full credit. I reserve the right to take oﬀ points if I
No books, notes, electronics (incl. calculators and cell-phones) are allowed.
Good luck!
1 6
2 14
3 10
4 10
5 10
Total 50
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Only pages 1-2 are available for preview. Some parts have been intentionally blurred.

Problem 1
(a) (2 points) Sketch the curve y29x29 = 0 in R2.
(b) (2 points) Write the deﬁnition of the partial derivative fx(a, b) of a function fat a
point (a, b).
(c) (2 points) Write what it means for a function of two variables fto be diﬀerentiable at
a point (a, b).
2