Let S be the bounded portion of the paraboloid x² + y² = 8z which is cut off by the plane z = 4. Sketch S and choose a parametric representation of this surface. Use this to compute that the area of Sis equal to 32√3+ [a] where a = X (fill in the blank with an integer).

Q: 5. Find a parametric representation for the part of the sphere x + y + z2 = 4 that lies between the…

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A: Given Function and Problem Context:Function: 𝑓(𝑥)=(2−𝑥)+0.00086Interval: [0.00,0.10]Desired…

Q: Consider the indefinite integral the integral into: fid du 3 3 u² [² -du u-7 9u² [³1 -du 3 ln(u) u²…

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Q: 3. Find the area of the part of the surface x 2z + y° - 3, that lies above the triangle in the…

A: Given, x=2z+y2-3, i.e. z=12x-y2+3. As it is known that the surface area is given as,…

Q: Find the "Area" of the "Surface" The part of the paraboloid (x y² + z²) that lies within the…

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Q: Find the surface area of the part of the paraboloid z=2x² +2y² that lies under the plane 2=16.

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Q: Identify the surface whose equation isľ = 3 sec (0). O Circle O Hyperbolic Paraboloid O Cone Sphere…

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Q: parametrization of the surface z = 3x² + 8x, ymbolic notation and fractions where needed.

A: In this question, the concept of the tangent plane is applied. The equation of the tangent plane of…

Q: Find the surface area of the part of the plane 3x + 2y + 4z = 24 that lies in the first octant…

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Q: Describe the surface whose equation is given by x² + y² + z² + 6y - 2z = 0.

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Q: (a) x² + 2x + 4y² + 16y + 9z? 19

A: Sketch and identify the surfaces: (a) x2+2x+4y2+16y+9z2=19.

Q: Closest point is (If there is more than one point, enter a comma-separated list.)

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Q: let C be the curve of intersection of the 3-D graph of x2=2y (a "parobolic cylinder") with the graph…

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