Solve.The variable w varies inversely as p with negative variation constant k. For positive values of p, what happens to the value of w as the value of p increases? For negative values of p, what happens to the value of w as the value of p increases?
A. It increases; it decreases
B. It decreases; it increases
C. It increases; it increases
D. It decreases; it decreases
Answer: C
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Graph the pair of parametric equations with the aid of a graphing calculator.x = 5 cos 2t + 4 cos 6t, y = 5 sin 2t - 4 sin 6t, 0 ? t ? ?
A.
B.
C.
D.
Which of the has an undefined slope? ?
A. ?y = 6 B. ?x = -3 C. ?y = 4x + 0 D. ?y = -3x + 3 E. ?None of the above.
Find the average value of the function over the region.f(r, ?, z) = r2 over the region bounded by the cylinder r = 8 between the planes z = -7 and z = 7
A.
B. 14,336?
C. 32
D.
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.x2 - 25y2 - 8x - 100y - 109 = 0
A. center at (4, -2)
transverse axis is parallel to x-axis
vertices at (-1, -2) and (9, -2)
foci at (4 - , -2) and (4 +
, -2)
asymptotes of y + 2 = - (x - 4) and y + 2 =
(x - 4)
B. center at (4, -2)
transverse axis is parallel to x-axis
vertices at (3, -2) and (5, -2)
foci at (4 - , -2) and (4 +
, -2)
asymptotes of y + 2 = - 5(x - 4) and y + 2 = 5(x - 4)
C. center at (-2, 4)
transverse axis is parallel to x-axis
vertices at (-7, 4) and (3, 4)
foci at (-2 - , 4) and (-2 +
, 4)
asymptotes of y - 4 = - (x + 2) and y - 4 =
(x + 2)
D. center at (4, -2)
transverse axis is parallel to y-axis
vertices at (4, -7) and (4, 3)
foci at (4, -2 - ) and (4, -2 +
)
asymptotes of y - 2 = - 5(x + 4) and y - 2 = 5(x + 4)