Find any relative extrema.f(x, y) = x3 + y3 - 4xy
A. f(
, 
) = 2.37, relative maximum
B. f(0, 0) = 0, relative maximum
C. f(0, 0) = 0, relative minimum
D. f(
, 
) = -2.37, relative minimum
Answer: D
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Find the conditional probability.If two cards are drawn at random without replacement from a standard deck, find the probability that the second card is a spade, given that the first card was a spade.
A. 
B. 
C. 
D. 
Express the relationship between a small change in x and the corresponding change in y in the form 
.y = 
A. dy = 
dx
B. dy = 
dx
C. dy = 
dx
D. dy = 
dx
Use the graph shown to determine if the limit exists. If it does, find its value.
f(x)
A. 2 B. 0 C. 1 D. does not exist
Find the center of mass of the lamina that occupies the region D and has the given density function, if D is bounded by the parabola y = 1 - x² and the x-axis.
p(x, y) = 6y