Determine the local extrema of the function.f(x, y) = x3 + y3 - 4xy
A. f(0, 0) = 0, minimum
B. f
= 2.37, maximum
C. f(0, 0) = 0, maximum
D. f
= -2.37, minimum
Answer: D
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Perform the indicated operation.(5 - 4c)2
A. -16c2 - 20c + 25 B. 16c2 + 40c + 10 C. 16c2 + 25 D. 16c2 - 40c + 25
Find the real solutions of the equation.
+ 7 = 8
Fill in the blank(s) with the appropriate word(s).
Use the discriminant to decide whether the equation represents a parabola, an ellipse, or a hyperbola.x2 + 4xy + 5y2 - 3x + 4y = 0
A. Parabola B. Hyperbola C. Ellipse
Solve the problem.A room in the shape of a triangle has sides of length 6 yd, 8 yd, and 13 yd. If carpeting costs $19.50 a square yard and padding costs $4.25 a square yard, how much to the nearest dollar will it cost to carpet the room, assuming that there is no waste?
A. $384 B. $396 C. $325 D. $388