Decide whether the given functions are inverses.f = {(5, 15), (6, 2), (2, 24), (15, 5)}g = {(15, 5), (2, 6), (24, 2), (5, 15)}
A. Yes
B. No
Answer: A
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Provide an appropriate response.Find the value(s) of t corresponding to the extrema of f(x, y, z) = sin(x2 + y2)cos(z) subject to the constraints x2 + y2 = 3t, 
and z = 
. Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)
A. t = 
, minimum; t = 0, maximum
B. t = 
, minimum; t = - 
, maximum
C. t = - 
, maximum
D. t = 
, minimum
Provide an appropriate response.How many real solutions are possible for a system of equations whose graphs are an ellipse and a hyperbola (both centered at the origin)?
A. 2 or 4 solutions B. 0, 2, or 4 solutions C. 0, 1, 2, 3, or 4 solutions D. 0, 1, 2, or 3 solutions
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 4 in. long and 4 in. wide, find the dimensions of the box that will yield the maximum volume.
?
What will be an ideal response?
Multiply.9.8 × 100
A. 0.098 B. 9.80 C. 9,800 D. 980