Describe the given set of points with a single equation or with a pair of equations.The circle in which the plane through the point (-4, 12, 1) perpendicular to the y-axis meets the sphere of radius 15 centered at the origin.
A. x 2 + y2 + z2 = 144 and y = 12
B. x 2 + y2 + z2 = 63 and y = 12
C. x 2 + y2 + z2 = 225 and y = 12
D. x 2 + y2 + z2 = 81 and y = 12
Answer: C
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is given by the function S(x,y) = 60e-0.001(2x + y) with (x,y) ? D, find the average snowfall on D.
A. 52.44 inches B. 51.14 inches C. 51.78 inches D. 52.06 inches
Change the Cartesian integral to an equivalent polar integral, and then evaluate.
A.
B.
C.
D.
Express the sum in sigma notation.3 + 6 + 9 + 12 + 15
A.
B.
C.
D.
State the domain and range of the function.f(x) = 4e-x - 4
A. Domain = = (-?, ?); range = (-?, 0] B. Domain = (-?, 0) ; range = (-?, -4) C. Domain = (-?, ?); range = (-4, ?) D. Domain = (-?, ?); range = (-?, ?)