Determine whether the improper integral converges or diverges.

A. Converges
B. Diverges


Answer: A

Mathematics

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Find the area of the parallelogram determined by the given vectors.

What will be an ideal response?

Mathematics

Use the method of variation of parameters to solve the differential equation.D2y + 8Dy + 12y = 5x

A. y = C1e-2x + C2e-6x + x
B. y = C1e-2x + C2e-6x +  - x
C. y = C1e2x + C2e6x -  + x
D. y = C1e-2x + C2e-6x -  + x

Mathematics

Let B denote the price of a bag of groceries at time t.  It is found that  is negative at . What can be concluded about the graph of B at the point

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B. The price of groceries  reaches a minimum at .
C. The price of groceries is increasing at .
D. The price of groceries is decreasing at .

Mathematics

Choose the description that matches the equation of the conic section. -  = 1

A. A vertical ellipse. B. A horizontal ellipse. C. A hyperbola with a horizontal axis. D. A hyperbola with a vertical axis.

Mathematics