Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places.f(x) = 2 + 8x - x2; (-5, 5)

A. local maximum at (-4, 50)
B. local maximum at (4, 18)
C. local minimum at (-4, 18)
D. local minimum at (4, 50)


Answer: B

Mathematics

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Solve.A rectangular metal sheet has an area of 156 square centimeters. Four squares with sides 2 cm are cut from the corners of the sheet, and the edges are bent upward to form an open box with a volume of 72 cubic centimeters. Find the dimensions of the box.

A. Length = 9 cm; width = 8 cm; height = 2 cm B. Length = 9 cm; width = 2 cm; height = 8 cm C. Length = 11 cm; width = 10 cm; height = 2 cm D. Length = 13 cm; width = 12 cm; height = 2 cm

Mathematics

Solve.Find the volume of a barber's pole having the shape of a right circular cylinder of radius 6 in. and height 36 in. topped by a sphere of the same radius. (Round to the nearest hundredth unit.)

A. 4069.4 in3 B. 8138.8 in3 C. 4973.7 in3 D. 1808.6 in3

Mathematics

Graph the inequality.y > (x + 5)2 - 3

A.
 
B.
 
C.
 
D.

Mathematics

Solve the polynomial inequality.x2 - 2x ? 3

A. (-?, -3] ? [1, ?) B. [-1, 3] C. (-3, 1) D. [-3, 1]

Mathematics