Find the area of the surface. The part of the plane z = 7 + 5x + 2y that lies above the rectangle [0, 5] × [1, 6]

Q: Find the area of the surface. The part of the plane z = 8 + 2x + 3y that lies above the rectangle…

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Q: nd the distance from the point to the plane.   (3,3,8)​, 7y+3

A: Given, the equation of plane is                                       7y+3z=0and  point (3, 3, 8)

Q: . Use the method of completing the square to write the following equation in standard form and…

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Q: The intersection of the sphere (x-3)^2 + (x+2)^2 + (z-1)^2 = 49 with each of the coordinate planes…

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Q: Find the distance (d) between the planes – 3x – 4z = – 11 and – 3x – 4z = – 23. - d = Question Help:…

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Q: .Find the equation and sketch the plane that contains the points (2, 6, 1), (-4, 9, -1) and (4, 3,…

A: Equation of plane is 3x+2y+6z = 12

Q: Find the curl of x²zi+0j+xz²k.

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Q: Find the distnace between the point and the plane. (2,8,4) 2x + y + z = 5

A: We know, The distance from (p,q,r) to the plane ax+by+cz+d=0 is  a.p+b.q+c.r+da2+b2+c2

Q: Find an equation of the plane that crosses the x-axis at 3, the y-axis at 2, and the z-axis at 5.

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Q: If a sphere passes through the points A(0, 1, 2) and B(−1, 2, 2) and its center C lies on the…

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

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