Solve the problem.Find the equation of the sphere with center = (0, -1, 2) and radius = 5.
A. x2 + (y + 1)2 + (z + 2)2 = 25
B. x2 - (y + 1)2 - (z - 2)2 = 25
C. x2 + (y + 1)2 + (z - 2)2 = 25
D. x2 + (y - 1)2 + (z - 2)2 = 25
Answer: C
Mathematics
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Determine whether the given function satisfies Laplace's equation.f(x, y, z) = 9x + 9y3z2
A. Yes B. No
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Solve the problem.Find the centroid of the region cut from the first quadrant by the line .
A. =
,
=
B. =
,
=
C. = 1,
= 1
D. =
,
=
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Determine the real solutions to the system of nonlinear equations.xy - x2 = -20x - 2y = 3
A. (-5, -1),
B. (5, 1),
C. (5, 1),
D. (-5, -1),
Mathematics
List the intercepts for the graph of the equation.y = x4 - 1
A. (0, 1) B. (0, -1), (-1, 0), (1, 0) C. (0, -1) D. (0, 1), (-1, 0), (1, 0)
Mathematics