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
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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,
=
?
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)
Write the improper fraction as a mixed or whole number.
A.
B. 139
C. 2095
D. 2095
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