If y varies inversely as x, write a general formula to describe the variation.y =
when x = 56
A. y = x
B. y =
C. y =
D. y =
Answer: C
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Solve the problem.Find the center of mass of the region of constant density bounded from above by the sphere and from below by the cone
A. = 0,
= 0,
=
(2 +
)
B. = 0,
= 0,
=
(2 +
)
C. = 0,
= 0,
=
(2 +
)
D. = 0,
= 0,
=
(2 +
)
Find all the second order partial derivatives of the given function.f(x, y) = cos xy2
A. fxx(x, y) = y2 sin xy2; fyy(x, y) = 2[2y2 cos (xy2) - sin (xy2)] ; fyx(x, y) = fxy(x, y) = 2y[y2 cos (xy2) - sin (xy2)]
B. fxx(x, y) = -y4 cos xy2; fyy(x, y) = - 2x[2xy2 cos (xy2) + sin (xy2)]; fyx(x, y) = fxy(x, y) = - 2y[xy2 cos (xy2) + sin (xy2)];
C. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2[ sin (xy2)- 2y2 cos (xy2)] ; fyx(x, y) = fxy(x, y) = 2y [sin (xy2)-y2 cos (xy2)]
D. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2y; fyx(x, y) = fxy(x, y) = 2
Locate the fraction on the number line.
A.
B.
C.
D.
Convert as indicated. Express the answer in decimal form when needed.11 feet per second to meters per second (Round to the nearest tenth.)
A. 3.4 ft/sec B. 33 ft/sec C. 12.2 ft/sec D. 3.7 ft/sec