Solve the problem.Maximize Q = xy2, where x and y are positive numbers, such that x + y2 = 10.
A. x = 0, y =
B. x = 5, y =
C. x = , y = 5
D. x = 1, y = 3
Answer: B
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Find the average value of the function f over the given region.f(x, y) = over the square 1 ? x ? 2, 1 ? y ? 2.
A.
B.
C.
D.
Interpret the meaning of the slope and the y-intercept of the equation in terms of the conditions stated in the problem.The cost, in dollars, of cellular phone service with Econo-phone is given by where x is the number of minutes used in one month.
A. 17.25 signifies the total phone bill, and 0.51 signifies the number of minutes used. B. 17.25 signifies the cost per minute, and 0.51 signifies the monthly service charge. C. 0.51 signifies the hourly phone rent, and 17.25 signifies the cost of the hardware. D. 0.51 signifies the cost per minute, and 17.25 signifies the monthly service charge.
Solve the problem.The length of one arch of the curve y = 3 sin 2x is given by L = Estimate L by the Trapezoidal Rule with n = 6.
A. 6.2807 B. 5.8169 C. 6.4115 D. 6.1995
Solve the problem.At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by and the total profit function is given by
, where x represents the number of boxes of computer chips produced. The total cost function, C(x), is such that
Find C(x).
A. C(x) = -0.3x2 + 20x + 12 B. C(x) = 12x + 8 C. C(x) = 10x + 12 D. C(x) = 11x + 17