a) Evaluate the surface integral 2x²y dS over the surface y² + z² = 1 between x = -1 and x = 5.

Q: Construct the inverse matrix (if it exists) for the following matrices: [12 61 (а) А %— 4 2. 1 -2]…

A: We will find out the required solution.

Q: Find the equation of the tangent plane to the surface determined by x^3y^2+z−35=0 where x=3 and y=5.

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Q: Find the surface area of the solid generated by rotating the curve x = 1/3 y^(3/2) - y^(1/2), 0 <= y…

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Q: find the equation of the tangent plane and normal line to the surface x^2+y^2-2xy-x+3y-z^2 at point…

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Q: Find normal line (parametric form) to the surface x^2 − 4y^2 + z^2 + y = 27 at the point (5, 1, −3

A: This question is about application of derivative

Q: Find the tangent planes to the surfaces given by the equations z = 7x^2 - 12x - 5y^2 and xyz^2 = 2…

A: NOTE: Refresh your page if you can't see any equations. . the first surface is so we can write…

Q: Find the average distance from the origin of a point between the two spheres x ^ 2 + y ^ 2 + z ^ 2 =…

A: We have to find average distance from origin of a point between the two given spheres.

Q: The equation z^2+y^2+x^2 = 4, represents the surface of a sphere. Using implicit differentiation,…

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Q: Write an equation in general form of the tangent plane to the surface x^2+siny + z^3 = −4 at the…

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Q: Find the unit normal to the surface z=2+2z^2-3y^3 at the point (1,-1,7), pointing down with respect…

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Q: Find a point on the surface z = 3x^2 − y^2 at which the tangent plane to this surface is parallel to…

A: We need to find the Point on the surface of  z=3x2−y2 given tangent plane to this surface is…

Q: The exact solution of the 2q(z - px - qy) = 1 + q^2 equation and by using this solution, Find the…

A: The given equation can be written in the form of the Clairaut's equation as below: z=px+qy+121+q2q…

Q: Find the extreme values of the function f(x, y, z) = xy + z^2 on the circle in which the plane y - x…

A: Given function is fx,y,z=xy+z2. We have to find the extreme values of the given function on the…

Q: Calculate the geodesic curve of the surface x^2 +y^2 -z=0

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Q: Let f(x, y, z) = x^2 - y^2 – z. Describe the level surfaces.

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Q: Explain how to set up a surface integral given that you will project the surface onto the xz-plane.

A: Let the provided surface is S and the function is f whose integral over surface S is to be find.…

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: OJennifer Findley Write an approximate measure for each angle shown.

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Q: Find the parametrization of the curve defined by the intersection of the two surfaces y = x^2 − 3z^2…

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Q: Find the area of the surface obtained by rotating the curve x = 4 e^(2y) from y = 0 to y = 2 about…

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Q: 1) Calculate the surface area of the part of cylinder 2 inside cylinder x² + y² = 2² 22 y +z = a 2

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Q: Find the surface area of the rotating object from the curve y = x^2 with the constraint 0< x <1…

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