Find the area of the region specified in polar coordinates.One leaf of the rose curve r = 8 cos 3?

A. ?
B. ?
C. 32?
D. 16?


Answer: A

Mathematics

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Multiply to find the exact answer. Express the answer as a whole or mixed number when possible and simplify.4 ? 4 ? 

A. 16
B. 8
C. 16
D. 6

Mathematics

Find the vertex and axis of symmetry of the graph of the function.f(x) = 3x2 - 6x + 1

A. (-2, 25) ; x = -2 B. (2, 7) ; x = 2 C. (1, -2) ; x = 1 D. (-1, 10) ; x = -1

Mathematics

Solve the problem.A water tank is being emptied such that the height y (in feet) of the water inside the tank decreases at a linear rate with time t measured in hours past 12:00 noon. If the height was 15 feet at 1:00 pm and 7.5 feet at 6:00 pm, find(a) the equation relating y to t, (b) the height at 12:00 noon, and (c) the total time required to empty the tank.

What will be an ideal response?

Mathematics

Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation ), and factor f(x) into linear factors.f(x) = x4 + 6x3 + 7x2 - 6x - 8

A. -2, -1, 1, 4; f(x) = (x + 2)(x + 1)(x - 1)(x - 4) B. -4, -2, 1, multiplicity 2; f(x) = (x + 4)(x + 2)(x - 1)2 C. -1, 1, 2, 4; f(x) = (x + 1)(x - 1)(x - 2)(x - 4) D. -4, -2, -1, 1; f(x) = (x + 4)(x + 2)(x + 1)(x - 1)

Mathematics