MHB  Volume of solid in first octant

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The volume of the solid in the first octant, bounded by the parabolic cylinder z = 25 − x² and the plane y = 2, has been calculated as 710/3. The discussion centers around verifying this solution. Participants emphasize the importance of checking calculations and avoiding duplicate posts. The focus remains on confirming the accuracy of the computed volume. The final answer of 710/3 is presented for validation.
carl123
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Find the volume of the solid in the first octant bounded by the parabolic cylinder z = 25 − x2 and the plane y = 2.

I already solved it and got 710/3 as my answer, I just wanted to make sure its the right answer
 
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carl123 said:
Find the volume of the solid in the first octant bounded by the parabolic cylinder z = 25 − x2 and the plane y = 2.

I already solved it and got 710/3 as my answer, I just wanted to make sure its the right answer

Do not double post!
 
Thread 'Problem with calculating projections of curl using rotation of contour'

Thread 'Problem with calculating projections of curl using rotation of contour'

Hello! I tried to calculate projections of curl using rotation of coordinate system but I encountered with following problem. Given: ##rot_xA=\frac{\partial A_z}{\partial y}-\frac{\partial A_y}{\partial z}=0## ##rot_yA=\frac{\partial A_x}{\partial z}-\frac{\partial A_z}{\partial x}=1## ##rot_zA=\frac{\partial A_y}{\partial x}-\frac{\partial A_x}{\partial y}=0## I rotated ##yz##-plane of this coordinate system by an angle ##45## degrees about ##x##-axis and used rotation matrix to...
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