Find the volume of the solid that is bounded on the front and back by the planes x= 1 an =2, on the sides by the cylinders y = +-, and above and below by the planes z=x+2. = =0.

Q: Determine the volume of the rotating object that occurs if the area of ​​the curve y1 = - x2 + 4 and…

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Q: Find the volume of the solid cut from the cylinder x² + y? = 49 by the planes z = 0 and x + z = 1.

A: Image is attached with detailed solution.

Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded by the…

A: Given  y=e-4x find the volume in first Quadrant  For x=5

Q: nd the area of the surface generated by revolving the curve x= Osys2, about the y-axis. 3

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Q: Find the surface area of the portion of the half ball with radius a which cuts off by the cylinder…

A: The equation of a ball with radius a is x2+y2+z2=a2. The surface area of the function z=fx,y over…

Q: Find the surface area of the portion of the half ball with radius which cuts off by the cylinder x2…

A: Concept: The surface area of the half ball is given by: A=∬1+∂z∂y2+∂z∂x2dA Where ∂z∂y, ∂z∂x is the…

Q: Find the volume of the solid in the first octant by bounded by the plane 3x +42 = 12, y = 2 and the…

A: Volume bounded by thefirst octent

Q: Find volume if area enclosed is rotated about y= -2.

A: To find the volume if the area enclosed by the below curves is rotated about y = -2.

Q: Determine the volume of the solid enclosed by the planes z= 0 and x+y−z=−5, and the curves y=x^2 and…

A: from the given curve y=x2 and x=y2⇒y=xwe draw the region in xy plane we get

Q: Find the surface area of the part of the plane 2x + y + z = 4 that lies inside the cylinder x² + y²…

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Q: Find the area of the plane x−2y+5z=13 cut out by the cylinder x^2+y^2=9

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