Let f(x, y) = 5x2 - 5y2 + 2xy + 34x + 38y + 12. At which point does f(x, y) have a possible maximum or minimum value?
A. (4, 3)
B. (4, -3)
C. (-4, -3)
D. (-4, 3)
Answer: D
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Use the integral test to determine whether the series converges.
A. converges B. diverges
Solve the problem.dy/dt = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = .02 and when t = 0. Solve the differential equation of y when f(t) = -19t.
A. y = 950t + 47,500 - 37,500e.02t B. y = -950t - 47,500 - 37,500e.02t C. y = 950t + 47,500 - 37,500e-.02t D. y = -950t + 47,500 - 37,500e-.02t
Remove parentheses and simplify.6x - (4 - 4x)
A. 6x - 8 B. 10x - 4 C. 2x - 4 D. 10x + 4
Solve the problem.A bakery sells three types of cakes, each requiring the amount of ingredients shown.To fill its orders for these cakes, the bakery used 72 cups of flour, 48 cups of sugar, and 68 eggs. How many cakes of each type were made?
A. 20 cake I 8 cake II 0 cake III B. 24 cake I 8 cake II 12 cake III C. 2 cake I 8 cake II 20 cake III D. 0 cake I 8 cake II 20 cake III