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Duplicate of Multivariable Calculus Partial Derivatives Test Review Flashcards | StudBud
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Duplicate of Multivariable Calculus Partial Derivatives Test Review
Duplicate of Multivariable Calculus Partial Derivatives Test Review
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Answers
1
Clairaut's Theorem states that _____
fxy = fxx
fxx = fyy
fxy = fyx
fx = fy
2
A gradient at a point will behave
how
relative to a level curve?
parallel
perpendicular
any direction
tangent
3
The directional derivative of z = (x^2)(e^-y) at the point (-1,0) in the direction of (4,-3) is
-1
-3/5
-5
-11/5
4
Given f(x, y, z) = x
30
y
26
z, what is f
xyzyzzyyxx
?
85700x27y22
4320x27y22
0
2360x27y22
5
A gradient points in what direction?
maximum rate of change
tangent to the curve
up
toward the center
6
∇f(x, y), where f(x, y) = 10x
5
y is
<50x4, 10x5>
<50x4y, 10x5>
<10x5, y>
<5x6/3, y2/2>
7
Evaluate the limit:
2
Does not exist
0/0
infinity
8
See question...
8 and 16
12 and -8
12 and 8
16 and 8
9
Given f(x,y) below and x = sin(2t) and y = cos t, find dz/dt when t = 0.
3
0
-6
6
10
A gradient is a(n) _____
number
integral
scalar
vector
11
I enjoyed this Quiz experience
12?
I Am actually sleeping right now
no man this was so lame
YES!
