Solve the problem by integration.Find the volume generated by revolving the first-quadrant area bounded by  and x = 4 about the y-axis.

A. 10? ln 
B. 5? ln 5985
C. ? ln 5985
D. 5? ln 


Answer: D

Mathematics

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Find area of figure. Round to the nearest hundredth if necessary.(Use 3.1 4 for ? .)

A. 744.96 ft2 B. 644.48 ft2 C. Not enough data D. 740.48 ft2

Mathematics

Solve the problem.A rectangular box with volume 373 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the base. Express the cost the box as a function of x.

A. C(x) = 4x + 
B. C(x) = 3x2 + 
C. C(x) = 2x2 + 
D. C(x) = 3x2 + 

Mathematics

Find the first term and the common ratio of the geometric sequence.2, -0.2, 0.02, -0.002, . . .

A. a1 = -0.1, r = -1 B. a1 = -0.1, r = -0.01 C. a1 = 2, r = -0.1 D. a1 = 2, r = 0.1

Mathematics

Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form.m = 5; (-7, 0)

A. y = 5x + 35 B. y = -5x + 31 C. y = 5x - 36 D. y = 5x - 38

Mathematics