Assume x and y are functions of t. Evaluate dy/dt.xy + x = 12; dx/dt = -3, x = 2, y = 5

A. 9
B. 3
C. -9
D. -3


Answer: A

Mathematics

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Solve.y2 = x + 7x + 3y = 21

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Use an ordered pair to identify each point on the given coordinate plane. State the quadrant or axis where each point lies.

A. R(-2, 4) in Quadrant II; S(-6, -4) in Quadrant III B. R(-2, -6) in Quadrant III; S(4, -6) in Quadrant IV C. R(-2, 4) in Quadrant II; S(-4, -6) in Quadrant III D. R(4, 12) in Quadrant I; S(-6, -4) in Quadrant III

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Find the asymptotes of the hyperbola. -  = 1

A. y - 5 = ± (x - 3)
B. y - 5 = ± (x - 3)
C. y - 3 = ± (x - 5)
D. y - 5 = ± (x - 3)

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Solve the problem.Two tracking stations are on the equator 140 miles apart. A weather balloon is located on a bearing of  from the western station and on a bearing of  from the eastern station. How far is the balloon from the western station? Round to the nearest mile.

A. 751 mi B. 668 mi C. 742 mi D. 659 mi

Mathematics