Triple integral transformed, Mathematics

Assignment Help:

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

 

 


Related Discussions:- Triple integral transformed

Concepts of sampling error, Use the concepts of sampling error and z- scor...

Use the concepts of sampling error and z- scores to explain the concept of distribution of sample means.

Limit, limit x APProaches infinity (1+1/x)x=e

limit x APProaches infinity (1+1/x)x=e

Find k to three decimal places, The population of a city is observed as gro...

The population of a city is observed as growing exponentially according to the function P(t) = P0 e kt , where the population doubled in the first 50 years. (a) Find k to three

Proper and improper fractions, Proper and Improper Fractions: Exampl...

Proper and Improper Fractions: Example: 3/8 proper fraction 8/3 improper fraction 3/3 improper fraction Here an improper fraction expressed as the sum of an in

Arithmetic/Geometric Sequences and Binomial Expansion, Find the 35th term o...

Find the 35th term of the sequence in which a1 = -10 and the common difference is 4.

Krystal, what is the tenths place

what is the tenths place

Example of mixing problems, A 1500 gallon tank primarily holds 600 gallons ...

A 1500 gallon tank primarily holds 600 gallons of water along with 5 lbs of salt dissolved into it. Water enters the tank at a rate of 9 gal/hr and the water entering the tank has

SHOPPERS`STOP, 3. How are Indian customers visiting Shoppers’ Stop any diff...

3. How are Indian customers visiting Shoppers’ Stop any different from customers of developed western countries? 4. How should Shoppers’ Stop develop its demand forecasts?

How to subtract fractions with different denominators, Q. How to Subtract f...

Q. How to Subtract fractions with different denominators? Ans. As with adding fractions, you can't subtract unless the denominators are the same. Here is an example: 9/

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd