A region is bounded by the graph of y = x3, the y-axis, and the horizontal line
. Find the volume of the solid of revolution generated by revolving the region about the x-axis.Enter your answer as a reduced quotient in form
.
Fill in the blank(s) with the appropriate word(s).
(6?/7)
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Solve the problem.A landscaping company sells 30-pound bags of top soil. The actual weight x of a bag, however, may differ from the advertised weight by as much as 0.5 pound. The actual weight of the bag of topsoil, x, can be described by the inequality Give the solution of the inequality in interval notation.
A. (-?, 29.5] ? [30.5, ?) B. [-29.5, 30.5] C. (29.5, 30.5) D. [29.5, 30.5]
Provide an appropriate response.Solve the following quadratic equation: x2 + 7x + 6 = 0
Fill in the blank(s) with the appropriate word(s).
Use the graph of f to determine the intervals where f is increasing and where f is decreasing.
A. increasing: [0, ?); decreasing (-?, 0] B. increasing: (-?, ?); decreasing: never C. increasing: never; decreasing: (-?, ?) D. increasing: (-?, 0]; decreasing [0, ?)
Find the real or imaginary solutions by using the quadratic formula.3x2 + 8x = -3
A.
B.
C.
D.