Find the volume of the solid that lies within the sphere ²+²+2=1, above the zy plane, and outside the cone z = z = 2√√/2² + y²

Q: given ∫∫s (x2z) dS and S is the part in z = sqrt(x2+y2), which lies in x2+y2 = 1 calculate the…

A: we have to evaluate ∬Sx2zdS Now, we have z=x2+y2 ⇒z2=x2+y2∂z∂x=xz and…

Q: Find the surface area of the part of the plane z = 4 + 3x + 7y that lies above the rectangle [0, 6]…

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Q: The volume of the solid given by the two surfaces is she = 8-3(x? + y*), z = (x² +y?)2 2

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Q: Evaluate SfF.ds where F = (3xy², 3x²y, z³) and M M is the surface of the sphere of radius 3 centered…

A: We will use divergence theorem to find surface integral of given vector field  If region R bounded…

Q: B- Find the area of the surface generated by revolving the curve y = √2-x² about x-axis

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Q: 1. a) Find the length of the curve: y=+[1,2]. b) Find the area of the surface obtained by rotating…

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Q: 4. Find the surface area of the part of the sphere x² + y² + z² = 1 above the plane z = 1/√2.

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Q: Q– Fin the surface area of the portion of the paraboloid z= 6-2x - y that is above the x-y plane…

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