Find the volume of the solid under the plane 9x + 3y – z = 0 and above the region bounded by y = x and y = x*. 116

Q: Find the volume of the solid obtained when the region bounded by the x-axis, the y-axis, and the…

A: The given problem is to find the volume of the solid obtained when the region bounded by given…

Q: Find the volume of the region between the planes x+y + 2z =2 and 2x + 2y +z = 4 in the first octant.

A: Find the volume of the region between the planes  x +y + 2z = 2 ......... (1)  and  2x + 2y +z =4…

Q: Determine the volume of the solid lying under the graph of z = x + 3y

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Q: Calculate the volume of the solid above the xy plane delimited by = 9-x² - y²

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Q: Find the volume of the solid generated of the area bounded by y 8x and y 2x, rotated about %3D y =…

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Q: Calculate the volume of solid Q limited by surface z

A: Consider the solid Q: Clearly, 0≤z≤11+x2+y2Let x= r cos θ       y=r sin θ⇒x2+y2=r2Projection on the…

Q: Find the centroid of the plane area bounded by the parabola y = 6x - x² and the line y = x

A: To Find: The centroid of the plane area bounded by the parabola y=6x-x2 and the line y=x

Q: Find the volume V of the region appearing between the two surfaces z = x² + y² and z = 8 - x² - y².…

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Q: 2 ) Find centroid of the region bounded by curves y = 2 – x and y = x.

A: First draw the graphg(x)=y=x (Red line)f(x)=2-x^2(blue line)