Convert the rectangular coordinates of the point to polar coordinates (r, ?) with r > 0 and 0 ? ? < 2?.(3, 0)

A. (3, ?)
B.
C.
D. (3, 0)


Answer: D

Mathematics

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Find an equation of a parabola satisfying the given conditions.Find the equation of the parabola with vertex at the origin and axis along the x-axis if the parabola passes through the point  

A. x2 = -6y
B. y2 = -6x
C. y2 = - x
D. x2 = - y

Mathematics

Evaluate the integral.

A. -10 B. 0 C. 5 D. 10

Mathematics

Estimate the answer by rounding as indicated.Estimate by rounding to the nearest hundred.

A. 2800 B. 2820 C. 2900 D. 2823

Mathematics

Solve the problem.A 2000-L tank is initially filled with a copper sulfate solution with a concentration of 50 g/L. A copper sulfate solution with a concentration of 20 g/L flows into the tank at a rate of 15 L/min. The thoroughly mixed solution is drained from the tank at a rate of 15 L/min.(a) Write an initial value problem for the mass of the copper sulfate.(b) Solve the initial value problem.

A. (a) m'(t) = -0.007m + 300, m(0) = 100,000 (b) m = 60,000e-0.007t + 40,000 B. (a) m'(t) = -0.007m + 20, m(0) = 50 (b) m = -39,950e-0.007t + 40,000 C. (a) m'(t) = 0.008m + 300, m(0) = 50 (b) m = -39,950e0.008t + 600,000 D. (a) m'(t) = -133.333m + 300, m(0) = 100,000 (b) m = 60,000e-0.007t + 600,000

Mathematics