Specify the coordinates of the vertices and foci and find the equations of the asymptotes of the given hyperbola.36y2 - 9x2 = 324

A. Vertices: (0, ±3); foci: (0, ±3); asymptotes: y = ±x
B. Vertices: (0, ±3); foci: (±3, 0); asymptotes: y = ±x
C. Vertices: (±3, 0); foci: (±6, 0); asymptotes: y = ±x
D. Vertices: (±6,0); foci: (±3, 0); asymptotes: y = ±x


Answer: A

Mathematics

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Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution.

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A cyclist is riding on a path whose elevation is modeled by the function  where x and  are measured in miles. Find the rate of change of elevation when . Round your answer to two decimal places, if necessary. 
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A. calculus, 0.98
B. precalculus, 0.14
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Mathematics