Department

MathematicsCourse Code

MATH 32AProfessor

AllStudy Guide

MidtermThis

**preview**shows pages 1-2. to view the full**7 pages of the document.**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

cannot see how you arrived at your answer even if your ﬁnal answer is correct.

•No books, notes, electronics (incl. calculators and cell-phones) are allowed.

•Good luck!

Question Max Your score

1 6

2 14

3 10

4 10

5 10

Total 50

1

Only pages 1-2 are available for preview. Some parts have been intentionally blurred.

Problem 1

(a) (2 points) Sketch the curve y2−9x2−9 = 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

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