Evaluate the surface integral. 116 x (x+y+z) ds, S is the parallelogram with parametric equations x = u + v, y = u-v, z = 1+ 2u + v, Osus 7,0 ≤ vs 1 Z

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A: Given: A line is passing through the points 1, 0, 4 and 4, 1, 2.

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A: Concept: The calculus helps in understanding the changes between values that are related by a…

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A: Here we have given a surface equation as below:  x2+2y2+z2-4x+4y-2z+3=0 The surface given by the…

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A: Given query is to find the scalar equation of the XY plane.

Q: Determine the parametric equations of the curve of intersection of the paraboloid x? – y? + z² = 0…

A: Detailed explanation mentioned below

Q: Find the parametric equations for the line through the point of intersection of the lines L1:x = 2 +…

A: In line L1 and L2  't' is used as parameter but don't confuse with it. Different different line we…

Q: 3. Find a set of symmetric and parametric equations of the line passing through the point (1, 4…

A: This is the problem from the vector algebra and 3D geometry.

Q: 6. Find parametric equations for the line of intersection of the planes 2x – y + z = 4 and 3x + y +…

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Q: Show that the parametric equations x a cosh u cos v, y b cosh u sin v c sinh u represent a…

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