Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the curves y = ±  and the lines x = 1 and x = 9, with density ?(x) = 

A.  = 5,  = 0
B.  = 4,  = 0
C.  = 2,  = 0
D.  = 3,  = 0


Answer: D

Mathematics

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Find an equation for the line that passes through the given point and satisfies the given conditions.P = (-6, -9); perpendicular to v = -3i + 2j

A. y + 9 = (x + 3)
B. 2x + 3y = -39
C. -3x + 2y = 13
D. -3x + 2y = 0

Mathematics

Evaluate.34

A. 12 B. 3 C. 34 D. 81

Mathematics

Multiply the binomials.(x2 + 8)(3x2 + 7)

A. 3x4 + 30x2 + 56 B. 3x4 + 31x2 + 56 C. 3x4 + 56x2 + 31 D. x4 + 31x2 + 31

Mathematics

If the following defines a one-to-one function, find its inverse. If not, write "Not one-to-one."{(-7, 19), (-11, 6), (5, 10)}

A. {(-7, 6), (-7, -11), (10, 5)} B. {(19, -7), (6, -11), (10, 5)} C. {(19, -7), (5, -11), (10, 6)} D. Not one-to-one

Mathematics