(Step-by-Step) Let S be the solid in the first octant bounded by the cylinder x^2+y^2=4 and z=4. Use cylindrical coordinates to calculate the mass if the
Question: Let \[S\] be the solid in the first octant bounded by the cylinder \[{{x}^{2}}+{{y}^{2}}=4\] and \[z=4\] . Use cylindrical coordinates to calculate the mass if the density at a point is proportional to the distance from the \[yz\] -plane ( \[\rho =kx\] ).
Deliverable: Word Document 
(Steps Shown) Evaluate ∫∫_Q∫(1)/(√x^2+y^2+z^2)dV
(Steps Shown) Consider the solid inside the surface x^2+y^2+z^2=9
Solution: Show that the Jacobian for the change of variables
![[Solution] Let R be the elliptical region](/images/solutions/MC-solution-library-50549.jpg "[Solution] Let R be the elliptical region in the first quadrant")
[Solution] Let R be the elliptical region in the first quadrant
(See Solution) Integrate ∫_R∫xydA where R is the region
Standard Normal Distribution Probability Calculator - MathCracker.com