Does there exist a surface x(u, v) such that E=G=1,F=0 and L=1,M=−1,N=0?

Q: The surface described by the conditions 2 + y? + z² = 4, x 0 is the same as the surface described…

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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: 3. Let C be the circle x + y = 16 and let S be any surface above the xy-plane with C as its…

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Q: 8.) Find the planes tangent to the following surfaces indicated points: a:) x² + 2y ²2/3 X ² = 10₁…

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Q: 2. Let S be the surface given by r(u, v) = (u, u² + v², v). Find the equation of the tangent plane…

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Q: The tangent plane and the normal line of the surface y = x² + z – 6 at the point (2, -1, 1) have the…

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Q: The distance of a point P(x,y,z) from the xy plane is d = |x| how do we show the work to prove this?

A: To show the distance of a point P(x, y, z) from the xy-plane is d = |x|, it can use the distance…

Q: An equation of the tangent plane to the surface z = In(x - 2y) at (3, 1,0) is given by z = x + 2y- 1…

A: This question is related to three dimensions geometry.

Q: 1) ZX + 9 At what points on the surface XY + YZ + is the tangent plane parallel to the YZ plane? 0

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