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MATH 251, Section
\ 5QP
Thursday, Sept. 26, 2013
Due Tuesday, Oct. 1, 2013 at the beginning of class.
NAME (print):
Quiz#5 (Sections 12.5, 12.6)
Dr. M. Vorobets
JCEY
No credit for unsupported answers will be given. Clearly indicate your final answer
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1
1. [3 pts.] Let z = xtan~ (xy), where x = ts and y = se*. Find — and —.
as
at
0.5
ff
0.5
s °'^6
-fc
o;
2. A? pte./ If y2zex+^ - sin(xyz) = 0, find -^ and -^.
3. [2 pts.] Find the directional derivative of f(x, y) = 2^fx — y2 in the direction of
_ /
- .
~
>
4. [2 pts.] Find an equation of the tangent plane to x2 — 2y2 — 3z2 + xyz = 4 at the point
= <: «? 5, o 7 a 5
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