Find the surface area of the portion of the surface x2- 2 In a+ V15 y - z = 0 above the rectangle 1

Q: Find a point on the surface x+4y--z² =1 where the tangent plane is parallel to the plane x+4y- z =…

A: we need to find gradient of given surface to know about direction of normal vector to tangent plane

Q: The area of the surface obtained by rotating the curve y = x2, 0sxs1 about the y-axis is

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Q: Q3: Find the points on the surface x^2+z^2-630, closest to the origin.

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Q: Find the surface area of the portion of 4x + 3y + 5z = 8 that lies inside the cylinder x² + y² = 49.

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Q: Example Find the exact area of the surface obtained by rotating the curve y = v1+ ex, 0<x< 1, about…

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Q: 2) Describe the level curves of the surface Z = √36 4X² 9Y²

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Q: Let f(x,y)=/4– 4x² – y² . Find its domain and give a rough sketch of its surface.

A: The given function is:fx, y=4-4x2-y2To find domain and sketch the surface

Q: Q1.6 Find the point on the surface given by the equation x^2 + 5y^2 + 10z^2 = 18016 that has a…

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Q: Q3: Find the points on the surface x^2+z^2-6=0, closest to the origin.

A: Given: x2+z2-6=0 Let x,y,z be the point on surface x2+z2-6=0 which is closet to point 0,0,0 Then the…

Q: (a) Find the area of the surface generated by the given curve about x-axis y = Vx , 18 x< 4

A: Note: According to Bartleby guidelines; for more than one question asked only the first one is to be…

Q: Sketch a typical level surface for the function f(x,y,z) = 3x² + 3y² + 3z².

A: Given that the function is                       f(x, y, z)=3x2+3y2+3z2.

Q: Sketch the surface 1<z</9-x² - y² and x²+y² <1

A: To sketch the given surfaces.