Determine the local extrema of the function.f(x, y) = 4xy - x2y - xy2
A. f
= 2.37, maximum
B. none
C. f
= 1.185, maximum
D. f(0, 0) = 0, minimum
Answer: A
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Solve the problem.A pair of six-sided dice are rolled. The observation is the number that comes up on each die. The event described by E: "at least one die will come up as an even number" is
A. {(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), 
(6, 5)}.
B. {(2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)}.
C. {(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4), (3, 6), (4, 1), (4, 2), (4, 3), (4, 5), (4, 6), 
(5, 4), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5)}.
D. {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), 
(4, 6), (5, 2), (5, 4), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}.
E. none of these
Solve the problem.Rectangle A is 25 by 50. Rectangle B is a gnomon to rectangle A. The dimensions of rectangle B are
A. 50 by 50. B. 50 by 75. C. 25 by 50. D. 50 by 100. E. none of these
Find an equation of the line through the pair of points. Write the equation in the form Ax + By = C.(-3, -7) and (1, 4)
A. -4x + 3y = -16 B. 4x - 3y = -16 C. -11x - 4y = -5 D. 11x - 4y = -5
Write a fraction to represent the shaded part of the figure.
A. 
B. 
C. 
D. 