Find the center and the radius of the sphere that has the given equation.
x²+y²+z²-6x+10y=0
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Mathematics
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Solve the problem.Find the equation of the plane containing the points P = (3, 1, 3), Q = (3, 0, -3), and R = (0, 2, -1).
A. 10x - 18y - 3z + 3 = 0 B. 10x + 18y - 3z - 39 = 0 C. 10x + 18y - 3z = 0 D. - y + 6z + 19 = 0
Mathematics
Divide numerator and denominator by the highest power of x in the denominator to find the limit.
A. 0 B. ? C. 2 D. -?
Mathematics
Find the degree and leading coefficient of the polynomial.-10x5 - 8x4 - 7x3
A. Degree: 5; leading coefficient: -10 B. Degree: 12; leading coefficient: -10 C. Degree: 3; leading coefficient: -10 D. Degree: -10; leading coefficient: 5
Mathematics
Find the area of the shaded region.
A. 45 B. 27 C. 18 D. 36
Mathematics