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Math 148 Quiz 8: §10.3–10.4
Directions: Answer each question completely.
credit, and circle your final answer.
1. Let f (x, y) =
x2
Show all work to receive full
∂f
xy
. Find
(−1, 2).
+ 2y
∂x
2. Find an equation of the tangent plane to the surface z = ex
1
2 +y 2
at (1, 0, e).
3. Find the linearization of f (x, y) = ln(x2 − 3y) at (1, 0) and use it to approximate
f (1.1, 0.1).
4. Find the Jacobian matrix for the vector function F~ (x, y) = h2x2 y − 3y + x, ex sin yi.
2