Triple Integrals in Solid Tetrahedrons - Solving for Z

[aspiring_gal]

Integrals-please check out...

Q
1)double integral over[ (0 to a/sq.root 2),(y to sq.root of (a2-y2)] fn->log(x2+y2)dxdy &a>0

2)int (0to pi/2) d(theta) int(0 to a sin theta) dr int(0 to (a2-r2)/a) r dz

3)evaluate triple integral over V funtion=> z dx dy dz, where V is the solid tetrahedron bounded by the 4 planes..x=0,y=0,z=0&x+y+z=1

 

[aspiring_gal]

next:

please teach me how to draw a parabola if its eqn is given as:
...y2=2x+6
...x2=y+1

if u can't tell me in detail...please just try to give it just in 2-3 lines...Once i knew well to draw all these...but now i can't recollect those...

 

[aspiring_gal]

5)what about a question given to find the volume of a hyperboloid?
please try to illustrate it with examples...

6)semicircle over an initial line's theta varies from ____ to _____?

7) what about a paraboloid??

8)triple integral over B fn=>xy(z2) dx dy dz where B is the rectangular box given B={9x,y,z)/0<=x<=1, -1<+y<=2, 0<+z<+3}

 

[aspiring_gal]

9) evaluate teriple integral over V, fn=> xy dx dy dz, where V is the solid tetrahedron with vertices(0,0,0),(1,0,0),(0,2,0) and (0,0,3)
10) evaluate triple integral over V fn>x dx dy dz, where V is the paraboloid x=4(y^2)+4(z^2) and the plane x=4...

Can I please have the figures too?...Kindly do it if u can


Try to reply, today or tomorrow(as fast as possible)...am just in need...

Please try to give a general description on each type of question, so that i can do other such types of question easily by referring that...


Thanking you in advance,
ag

 

[Cyosis]

We're not an answering machine. Start with question 1, show us what you've done so far and where you get stuck, so we can nudge you into the right direction.

 

[aspiring_gal]

sorry but thanks for letting me know...I was in a hurry and i...am.
thts why I didnt try explain my soln...
from my next doubt onwards i'll b trying to follow the writing rules of this forum...

Thanks Again
ag