Find the center of mass of a thin plate of constant density covering the given region.The region bounded by the parabola x = y2 and the line x = 1

A.  = 0,  = 
B.  =  = 0
C.  =  = 0
D.  = 1,  = 0


Answer: C

Mathematics

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Find the equation in standard form of a hyperbola centered at the origin that passes through the given points and whose graph approaches the given asymptotes.(-4, 0) and (4, 0); y = - x and y = x

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics

Provide an appropriate response.The straight-line method of depreciation is actually an accelerated method of depreciation.

A. True B. False

Mathematics

Solve the problem.The length of the diagonal of a rectangle is given by  where L and W are the length and width of the rectangle. What is the length of the diagonal, D, of a rectangle that is 63 inches long and 34 inches wide? Round your answer to the nearest tenth of an inch, if necessary.

A. 46.3 in. B. 71.6 in. C. 53 in. D. 9.8 in.

Mathematics

Graph the function.Use the graph of f(x) = 3x to obtain the graph of g(x) = 3-x.

A.

B.

C.

D.

Mathematics