Solve the problem.Find the radius of gyration about the z-axis of a thick-walled right circular cylinder bounded on the inside by the cylinder r = 1, on the outside by the cylinder r = 4, and on the top and bottom by the planes z = 6 and z = 10.

A. 510?
B.
C.
D.


Answer: B

Mathematics

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Solve the problem.Identify the incorrect statements about limits.I. The number L is the limit of f(x) as x approaches x0 if f(x) gets closer to L as x approaches x0.II. The number L is the limit of f(x) as x approaches x0 if, for any ? > 0, there corresponds a ? > 0 such that  < ? whenever 0 <  < ?.III. The number L is the limit of f(x) as x approaches x0 if, given any ? > 0, there exists a value of x for which  < ?.

A. I and III B. II and III C. I and II D. I, II, and III

Mathematics

Provide an appropriate response.Graph y = - tan x and its derivative together on . Is the slope of the graph of  ever positive? Explain.

What will be an ideal response?

Mathematics

Multiply. Then simplify if possible. Assume that all variables represent positive values. ?  

A. 4
B. 3
C. 6
D. 6

Mathematics

Write in simplified form and list all restrictions on the domain.f(x) = 

A. f(x) = , x ? -6
B. f(x) = , x ? -6, 0
C. f(x) = , x ? 6
D. f(x) = , x ? -6, -3

Mathematics