Find the area of the surface. The part of the plane z = 5 + 5x + 2y that lies above the rectangle [0, 3] x [1,4]

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: .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 area of the surface. The part of the plane  z = 3 + 2x + 5y  that lies above the rectangle…

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Q: Find the​ distance, d, between the point S(6,9,10) and the plane 10x+7y+1z=60.

A: Answer is 73/5√6.

Q: I3D Find the coordinates of the point (x, y, z) on the plane z = 2 x + 2y + 2 whi X = y =

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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: Evaluate ffz + 3y - x^2 ds where S is the portion of z=2-3y+x^2 that lies over the triangle in the…

A: To find the value of given fds over given region.

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: Find the area of the surface. The part of the plane z = 7 + 5x + 2y that lies above the rectangle…

A: The given equation is, z=7+5x+2y The partial derivatives are, fx=5fy=2