Write the standard form of the equation of the circle. 

A. (x - 5)2 + (y - 6)2 = 9
B. (x - 5)2 + (y - 6)2 = 3
C. (x + 5)2 + (y + 6)2 = 3
D. (x + 5)2 + (y + 6)2 = 9


Answer: A

Mathematics

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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = xzi + yzj + k , S is the cap cut from the sphere x2 + y2 + z2 = 16 by the plane  direction away from the origin

A. ?
B. ?
C. - ?
D. 255?

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Solve the equation by making an appropriate substitution.x4 - 20x2 - 125 = 0

A. {- , -5i, 5i}
B. {5, i}
C. {-25, 5}
D. {-5, 5, -i, i}

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Find the volume of the solid. Use 3.14 for ?. Round to the nearest hundredth, if necessary.

A. 330 m3 B. 345.4 m3 C. 165 m3 D. 110 m3

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Find the x- and y-intercepts:



Mathematics