Find the area of the surface. The part of the paraboloid z = 1 – x2 - y? that lies above the plane z = -4

Q: Q2 Find an equation for the surface that contains all such points P that has equal distance to the…

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Q: Given the equation (z - 13)+y? = 64, identify the center and radius. Do not enter any spaces when…

A: In this we have to tell the center and radius of circle.

Q: Reduce the following given equation to a canonical form quadratic surface by performing suitable…

A: The given equation is, x2+y2+z2+4xy-4xz+4yz-2x+y-3z=0

Q: Sketch the section of the surface at x = 0. y? - 25z? = 25 12 -12 -8 12 -4 -8 -12 4 -6 -2 -4 4.

A: topic - hyperbola

Q: Find the point on the sphere x+ (y-4) +(z-9) 9 nearest to a. the xy-plane. b. the point (0, -9,9).…

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Q: Explained every step

A: The given equation of the surface is  x2 + 2y2 + z2 − 4x + 4y − 2z + 3 = 0.   The general equation…

Q: 1. Find the equation (formula) of a sphere with radius r and center C(h, k, 1) and show that x² + y²…

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Q: Find the area of the portion of the surface z = 8x+4y that lies above the triangular region with…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: • What is/are the trace(s) of the surface (x – 1)? 22 = 1 on the rz-plane? 36 a. hyperbola b.…

A: For the given surface

Q: x = z? + y? Name of the surface

A: x=z2+y2 We need to name the surface.

Q: ind the distance between the point (-1, 2, 1) and the plane 2x + 3y - 4z = 7. OTE: Give your answer…

A: Given query is to find the distance between the point and the plane.

Q: 1. Find the equations of the planes that are exactly 4 units from the plane 2x-2y+z=6

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Q: (b) Let w = 1+ j. Determine w giving your answer in rectangular form.

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Q: Find the equation of the sphere with its center at (-2, 4, 13) and tangent to 3x + 4y - 12z = 10.…

A: Given: The center of the sphere is -2, 4, 13. To Find: The equation of the sphere with center -2, 4,…

Q: Find the shortest Distance d faumthe point to the plane X+y+Z=8.

A: Let's find.

Q: .2 .2 x + 20x + y + 16y = -20 The equation above defines a circle in the xy-pla What are the…

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Q: Evaluate F. dS, where F = 6xy²i + 6x²yj + 2z°k and S is the surface of the unit sphere.

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Q: q15.21 there is a sphere. jimmy writes it equation as :  x2+y2+z2-6x+4z=3 help jimmy figure out…

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