Change the Cartesian integral to an equivalent polar integral, and then evaluate.

A. ?
B. ?
C. ?
D. ?


Answer: D

Mathematics

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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(1) = 3, u '(1) = -7, v(1) = 6, v '(1) = -2. (uv) at x = 1

A. 48 B. 36 C. -48 D. -33

Mathematics

Solve.The variable w varies directly as p with negative variation constant k. What happens to the value of w as the value of p increases?

A. It increases for positive values of p and decreases for negative values of p. B. It decreases for positive values of p and increases for negative values of p. C. It increases. D. It decreases.

Mathematics

Find the focus and directrix of the parabola.y2 = -40x

A. (-10, 0); y = 10 B. (10, 0); x = -10 C. (-10, 0); x = 10 D. (0, -10); y = 10

Mathematics

Solve.Four pieces measuring 29.5 cm, 19.62 cm, 32.49 cm, and 24.74 cm are cut from a board that is 200 cm long. Allowing 1 cm for waste in cutting, what is the length of the remaining piece?

Fill in the blank(s) with the appropriate word(s).

Mathematics