Reverse the order of integration and then evaluate the integral.

A.  tan-1 49 - 3 ln 2402
B. 147 tan-1 49 -  ln 2402
C.  tan-1 49 -  ln 2402
D. 147 tan-1 49 - 3 ln 2402


Answer: B

Mathematics

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Find the center of mass of the thin rod with the given density function.Find the center of mass of a thin rod that lies along the semicircle y =  if the density of the rod is 

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

Mathematics

Find the center, transverse axis, vertices, and foci of the hyperbola.16x2 - 100y2 = 1600

A. center at (0, 0)
transverse axis is x
-axis
vertices: (
-4, 0), (4, 0)
foci: (
-2, 0), (2, 0)
B. center at (0, 0)
transverse axis is x
-axis
vertices: (0, 
-10), (0, 10)
foci: (0, 
-2), (0, 2)
C. center at (0, 0)
transverse axis is x
-axis
vertices: (
-10, 0), (10, 0)
foci: (
-2, 0), (2, 0)
D. center at (0, 0)
transverse axis is x
-axis
vertices: (
-10, 0), (10, 0)
foci: (
-2, 0), (2, 0)

Mathematics

Write the improper fraction as a mixed or whole number.

A.
B. 139
C. 2095
D. 2095

Mathematics

Find the integrating factor, the general solution, and the particular solution satisfying the given initial condition.xy' - y = ; y(2) = 2

A. I(x) = ex-1; y = Ce-x-1 + 10; y = 12e - x-1 + 10
B. I(x) = x-1; y = 2x-4 + Cx; y = 2x-4 - x
C. I(x) = ex-1; y = Ce-x-1 - 10; y = 12e - x-1 - 10
D. I(x) = x-1; y = -2x-4 + Cx; y = -2x-4 + x

Mathematics