Solve the problem.Estimate the area of the surface generated by revolving the curve y = cos 2x, 0 ? x ? ?/4 about the x-axis.Use the Trapezoidal Rule with n = 6.

A. 5.108
B. 4.652
C. 7.091
D. 4.606


Answer: D

Mathematics

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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 

A. Domain: all points in the xy-plane; range: all real numbers; level curves: ellipses 
B. Domain: all points in the xy-plane except (0, 0); range: all real numbers; level curves: ellipses 
C. Domain: all points in the xy-plane; range: real numbers > 0; level curves: ellipses 
D. Domain: all points in the xy-plane except (0, 0); range: real numbers > 0; level curves: ellipses 

Mathematics

Find the intercepts for the graph of the equation.-4x + y = 0

A. (0, -4) (-1, 0) B. (-1, 0) (-4, 0) C. (0, 0) (0, 0) D. (0, -1) (0, -4)

Mathematics

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards.In bridge, 4 aces

A. .00059 B. .01056 C. .00264 D. .00118

Mathematics

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logb(yz2)

A. 2 logb y + 2 logb z B. 2 logb(yz) C. logb y + 2 logb z D. logb y + logb(2z)

Mathematics