Simplify. Be sure to rationalize the denominator. Assume that all variables represent positive real numbers.
A.
B.
C.
D.
Answer: B
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Find the particular solution to the given differential equation that satisfies the given conditions.dy + 3 dx = x2 dy + 2xy dx; x = 2 when y = 2
A. y = x2y - 3x B. y = x2y - 3x + c C. y = x2y + 3x D. y = xy2 - 3x
Solve the problem.The temperature of water in a certain lake on a day in October can be determined by using the model where x is the number of feet down from the surface of the lake and y is the Celsius temperature of the water at that depth. Based on this model, at what depth is the water 9 degrees? (Round to the nearest foot.)
A. 67 ft B. 12 ft C. 45 ft D. 30 ft
Factor.y2 - 4
A. (y + 2)(y - 2) B. (y - 2)(y - 2) C. (y + 4)(y - 4) D. (y2 + 2)(y2 - 2)
Find the vertical asymptote(s), if any, of the graph of the rational function. f(x) =
A. x = -4 B. no vertical asymptote C. x = 1, x = -1 D. x = 4