Techniques of Calculus: Calculus of Several Variables
MATH 20A

Fall 2014
1. (a) (1 point) Which one of the following is a picture of the surface deﬁned in
cylindrical coordinates by z = 7"?
(i an (iv)
(b) (8 points) Match each of the following equations With the appropriate
graph (you do NOT need to justify your answer).
i.x
Techniques of Calculus: Calculus of Several Variables
MATH 20A

Fall 2014
MATH 20A SECOND MIDTERM EXAM FALL", 2014
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