Evaluate 11₁² x² zdS, where S is the part of the plane z = 3+ 4x + 2y above the rectangle S [0, 5] × [0, 2].

Q: which of the toihts PC6,L3), Q (-5,-1,4), and R(0,3,8)15 c losest to the X2-Plane? which paint lies…

A: A point in 3D has (x,y,z) coordinates. A point on XY plane has (x,y,0) coordinates i.e. z=0 A point…

Q: Find the​ distance, d, between the point S(6,9,10) and the plane 10x+7y+1z=60.

A: Answer is 73/5√6.

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A: We have two equations 3x+2y-6z-5=0 2x+3y-9z+10=0

Q: Find the distance between the point (-1,–1,2) and the plane 2.x+5y-6z =4

A:

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A: Let the equation of the plane that contains the line of intersection of the planes 3x-y+3z=-1 and…