Find the volume of the described solid.The base of a solid is the region between the curve y = 6cos x and the x-axis from x = 0 to
. The cross sections perpendicular to the x-axis are squares with bases running from the x-axis to the curve.
A. 9?
B. 3?
C. 18?
D. ?
Answer: A
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Graph the linear inequality.x ? -6
A.
B.
C.
D.
Use the given functions to find the sum or quotient.For f(x) = and g(x) =
, find Q(x) =
.
A.
B.
C.
D.
For what values of does the curve have maximum and minimum points for the given function ?
Select the correct answer.
a. For a parabola whose vertex (0, 2), is the absolute maximum.
For opens downward with one minimum points.
For c < 0, the graph opens upward, and has an absolute maximum at x=0 and no local minimum.
b. For a parabola whose vertex (0, 2) is the absolute maximum.
For opens upward with two minimum points.
For c < 0, the graph opens downward, and has an absolute minimum at x=0 and no local minimum.
c. For a parabola whose vertex (0, 3), is the absolute maximum.
For opens upward with two minimum points.
For c<0, the graph opens downward, and has an absolute minimum at x=0 and no local minimum.
d. For a parabola whose vertex (0, 1), is the absolute maximum.
For opens upward with two minimum points.
For c<0, the graph opens downward, and has an absolute maximum at x=0 and no local minimum.
Solve the problem.How many gallons of a 30% alcohol solution must be mixed with 60 gallons of a 14% solution to obtain a solution that is 20% alcohol?
A. 7 gal B. 27 gal C. 12 gal D. 36 gal