Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the plane passing through (3,0,0), (0,3,0), and (0,0,4). (0,0,4) (3,0,0) (0,3,0)

Q: Distance between the two planes: 2.x+3y+4z = 4, 4x+6y+8z=12 ¡s and (A)2 units (B)4 units (C)8 units…

A: The given problem is to find the distance between the given two planes. Given planes 2x+3y+4z=4 and…

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A: Sphere Definition: A sphere is a three-dimensional counterpart of a circle, with all its points…

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Q: Zxx-4Zxy-Zyy=0 Zxx+4Zxy+2ZyY=0 Zxx+Zyy=0 Zxx+6Zxy+9Zyy=0 Zxx-10zxy+26Zyy=0

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Q: Find the volume of the largest box of the type shown in the figure, with one corner at the origin…

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Q: what is the formula to find centroid of triangular prism

A: Centroid of triangular prism is determined as shown below.

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Q: Find the point on the sphere x^2 +y^2 +z^2 =4 which is closer to the point (1,-1,1)

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Q: the sum of the distances from (x,y) to (-1,0) and from (x,y) to (1,0) is 4. show x and y is related…

A: Distance from (x,y) to (-1,0) is:  Distance from (x,y) to (1,0) is:

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A: The equation of sphere is:-Now add 9 and 4 both side:-

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