Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.y = 3x2, y = 3

A. ?
B. ?
C. ?
D. ?


Answer: C

Mathematics

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Find the extreme values of the function subject to the given constraint.  

A. Maximum: none; minimum:  at 
B. Maximum: none; minimum:  at 
C. Maximum: none; minimum:  at 
D. Maximum: none; minimum:  at 

Mathematics

Solve the problem.Bruce is a retired carpenter who builds patio chairs and dog houses that he sells at the local flea market. It takes him 4 hours to build a dog house and 5 hours to build a patio chair. Bruce can work no more than 40 hours per week and he must produce more chairs than dog houses. Write a system of inequalities to describe this situation and solve the system by graphing. Use D for the number of dog houses and P for the number of patio chairs produced in a week. 

A.

B.

C.

D.

Mathematics

Write the binomial expansion of the expression.3

A. x3 + x2 + 16x + 64
B. x3 + x2 + 64
C. x3 + x2 + 16x + 64
D. x6 + x3 + 64

Mathematics

Solve the problem. Round to the nearest tenth, if necessary.Sue rowed her boat across and back Lake Bend in 3 hr. If her rate rowing back was 2 mph less than the rate rowing across, and if the distance each way was 7 mi, find her rate rowing across.

A. 1.5 mph B. 5.9 mph C. 3.7 mph D. 5.5 mph

Mathematics