We have been working very hard since 2009 to facilitate in your learning Read More. We can't keep up without your support. Donate Now.


+ Link For Assignments, GDBs & Online Quizzes Solution


+ Link For Past Papers, Solved MCQs, Short Notes & More





Assignment no,2

complete final soultion


Question # 1:                                                                             Marks 5


If  is continuous on a closed interval [0, 1], then by using Mean-Value Theorem for integrals, show that there exits at least one value in [0, 1].




Question # 3:                                                                            Marks 5


Find the volume of the spheroid formed by the revolution of the area bounded by the ellipse  about  the major axis .



Use parametric form
x = a cos t
y = b sin t, 0 ≤ t ≤ π

which gives the half ellipse with positive y

dx/dt = - a sin t
dy/dt = b cos t

V = π∫(a cos t)²(b cos t) dt on [0,π]
thanks to the symmetry wrt y-axis we have

V = 2πa²b∫(cos t)²(cos t) dt on [0,π/2] = (*)

∫(cos t)³ dt = ∫(cos t)(1 - (sin t)²) dt =
sin t = u
cos t dt = du
when t = 0, u = 0
when t = π/2, u = 1

= 2πa²b ∫(1 - u²) du on [0,1]
a primitive is
F(u) = 2πa²b(u - (1/3) u³)
then volume is
V = F(1) - F(0) = (4/3)πa²b




+ http://bit.ly/vucodes (Link for Assignments, GDBs & Online Quizzes Solution)

+ http://bit.ly/papersvu (Link for Past Papers, Solved MCQs, Short Notes & More)

+ Click Here to Search (Looking For something at vustudents.ning.com?)

+ Click Here To Join (Our facebook study Group)

Views: 539


Replies to This Discussion

.doc file send kr do ye .docx mn ha .............

 mit student Thanks for sharing ur idea 

Note for All Members: You don’t need to go any other site for this assignment/GDB/Online Quiz solution, Because All discussed data of our members in this discussion are going from here to other sites. You can judge this at other sites yourself. So don’t waste your precious time with different links.

important note for all checks attachment for complte soution,

sooooooooooooooooory alot mera sa disscussion add karta Q1 And Q2 Ka soution miss ho gya ha bt attachment ma complte ha

Is this correct?


Looking For Something? Search Here


This is a member-supported website. Your contribution is greatly appreciated!

© 2020   Created by +M.Tariq Malik.   Powered by

Promote Us  |  Report an Issue  |  Privacy Policy  |  Terms of Service