Problem #7: Evaluate the surface integral fF.dS where F(x, y, z) = xyi - y²j - 2zk and S is the sphere x² + y² + z² = 9 with outward orientation.

Q: ermine the point(s) on the surface z = 30x - 28y - 5x² - 7y² at which the tangent plane is parallel…

A:

Q: If a parametric surface given by r₁(u, v) = f(u, v)i + g(u, v)j + h(u, v)k and −4 <u≤ 4,-2 ≤v < 2,…

A: The surface is  and The surface area of the parametric surface given by r1(u,v) =

Q: Determine the regression equation 1 2 3 4 5 6. 7 8 y 0,5 0,8 1,2 1,9 3 4,8 7,5 11,9

A: Note: Commas are taken as decimals for computation. Mean x=∑xin=(1+2+3+4+5+6+7+8)/8=36/8=4.5Mean…

Q: Juan’s exercise regimen includes golf, swimming, and playing the drums. He has at most 12 hours per…

A: We have given all the important statement. We have to construct the linear programming problem.

Q: Evaluate SF. ds where F = (3xy², 3x M M is the surface of the sphere of radius 3 c the origin.

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Q: Find a parametric representation of the surface in terms of parameters u = x and v = y. NOTE: Enter…

A: a) z+zx2-6y=0b) y2-10z=11

Q: Seven thieves try to share a hoard of gold bars equally between themselves. Unfortunately, six bars…

A: Seven thieves try to share a hoard of gold bars equally between themselves.Unfortunately, six bars…

Q: Consider the following surface: z = x2 - (y2 / 4).  By hand, without any graphical utilities, find…

A:

Q: If a parametric surface given by r1(u, v) = f(u, v)i + g(u, v)j+ h(u,v)k and –1< u<1, –2 < v< 2, has…

A: We will find out the required value.