Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = xyi + y2j - 2yzk ; D: the solid wedge cut from the first quadrant by the plane  and the parabolic cylinder x = 16 - 16y2

A.
B.
C.
D.


Answer: D

Mathematics

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Use the given transformation to evaluate the integral.     Rwhere R is the parallelepiped bounded by the planes   

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A. 4095
B.
C. 1820
D. 455

Mathematics

Express the integrand as a sum of partial fractions and evaluate the integral.

A. tan-1  + ln  -  + C
B. tan-1   -  +  + C
C. tan-1  -  -  + C
D. tan-1  +  -  + C

Mathematics

Complete the square to write the equation in the form  +  = 1 or  +  = 1.Determine the center, foci, and vertices of the ellipse.9x2 + y2 - 72x + 135 = 0

A. (x - 3)2 +  = 1
center: (3, 0); foci: (3, ), (3, -); vertices:(3, 4), (3, -4)
B.  + (y - 3)2 = 1
center: (3, 0); foci: (3, ), (3, -2); vertices:(3, 4), 
(3, -4)
C.  + (y - 4)2 = 1
center: (4, 0); foci: (4, 2), (4, -2); vertices:(4, 3), (4, -3)
D. (x - 4)2 +  = 1
center: (4, 0); foci: (4, 2), (4, -2); vertices:(4, 3), (4, -3)

Mathematics

Determine algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin.y = |17x|

A. x-axis only B. y-axis only C. Origin only D. x-axis, y-axis, origin

Mathematics