Approximate the area under the graph of f(x) and above the x-axis using n rectangles.f(x) = x2 from x = 0 to x = 3 n = 2; use midpoints
A. 3.375
B. 12.5
C. 8.4375
D. 16.875
Answer: C
Mathematics
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Evaluate the integral.
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Set up an integral for the length of the curve.y = x6, 0 ? x ? 1
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Solve the problem.The stiffness of a rectangular beam is proportional to its width times the cube of its depth. Find the dimensions of the stiffest beam than can be cut from a 
cylindrical log. (Round answers to the nearest tenth.)
A. w = 7.0 in.; d = 9.4 in. B. w = 7.0 in.; d = 11.4 in. C. w = 5.0 in.; d = 11.4 in. D. w = 6.0 in.; d = 10.4 in.
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Find the exact value of the indicated trigonometric function of the angle ? in the figure. Rationalize the denominator where necessary.Find csc ?.
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Mathematics