Triple integral transformed, Mathematics

An elliptical galaxy has gravitational boundaries defiend by 9x2+16y2+144z2=144. A black hole at the center of the galaxy is interacting with dark matter producing a radiation envelope defined by the region inside the cone Z2=27x2+48y2. If the energy density in this envelope is defined by ρ(x,y,z)=Κ |xyz|

Determine the following given the above with K >C

1. Find the volume of space inside the galaxy affected by the interaction using a triple integral transformed into u,v,w space with u=3x, v=4y, w=z

2.the total energy in the envelope.

3. the center of "mass of the energy in the upper and lower cones individually in the (x,y,z) system.

4.the average energy density , ρ, in each cone.

Note: for units you may use the following.  linear dimensions = 10^5 light year

 

 

Posted Date: 2/27/2013 2:55:13 AM | Location : United States







Related Discussions:- Triple integral transformed, Assignment Help, Ask Question on Triple integral transformed, Get Answer, Expert's Help, Triple integral transformed Discussions

Write discussion on Triple integral transformed
Your posts are moderated
Related Questions
use the bionomial theorem to expand x+2/(2-X)(WHOLE SQUARE 2)

Draw the parametric curve for the subsequent set of parametric equations. X = t 2 +t Y=2t-1 -1 t 1 Solution Note that the only dissimilarity here is the exis

statement of gauss thm

what is a fraction?

Ask question #Minimum 100 words what is the hypotunus of a right bangled triangle a=5@ b=25 find c accwhepted#

Nine minus five times a number, x, is no less than 39. Which of the subsequent expressions represents all the possible values of the number? Translate the sentence, "Nine minus

prove that every non-trivial ingetral solution (x,y,z)of the diophantine equation Xsquare +Ysquare=Zsquare satisfies gcd(x,y)=gcd(x,z)=gcd(y,z)


smart mind

number of consonants to the number of letters in the English Alphabet express answer in ratio