We are here with you hands in hands to facilitate your learning & don't appreciate the idea of copying or replicating solutions. Read More>>

www.vustudents.ning.com

Looking For Something at vustudents.ning.com? Click Here to Search

 www.bit.ly/vucodes + Link For Assignments, GDBs & Online Quizzes Solution www.bit.ly/papersvu + Link For Past Papers, Solved MCQs, Short Notes & More

Dear Students! Share your Assignments / GDBs / Quizzes files as you receive in your LMS, So it can be discussed/solved timely. Add Discussion

How to Add New Discussion in Study Group ? Step By Step Guide Click Here.

# MTH 101 Assignment # 2 Question No 1 Solution

Please correct me if i am wrong

+ How to Join Subject Study Groups & Get Helping Material?

+ How to become Top Reputation, Angels, Intellectual, Featured Members & Moderators?

+ VU Students Reserves The Right to Delete Your Profile, If?

See Your Saved Posts Timeline

Views: 2429

.

+ 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?)

### Replies to This Discussion

plzzz 1 day left, send full solution of mth-101 assignment-2

plzz koi full solution upload kro

aray bhai koi to kuch clear cut solution uplod kro yar suggestions ni chaiye han

proper solution bhejo dosto

kia koi bi maths ka expert nai idar??????????

Hey folks,

[f(x) - g(x)]dx

[x^2 - 3x - (-2)]

[x^2 - 3x + 2]

Please note the sign of + before 2.

ali bhai ap ne 3rd last step mein 3/4 ko 4/3 ksey kia hai aur  27/64 q likha hai plz explain

x* ka kia mtlb ha i mean ye kun use kia gya ha

plzzz 1 day left, send full solution of mth-101 assignment-2

ye samajhne ka waqt nahi k kia kyun kese hua bs kuch rad o badal se assignment likh k bhejo sabhi

and to be honest i think koi bi confident nahi hai is sab solutions k baarey mein ajeeb bat hai koi bi mathematician nahi pooray group mein jo certainty se verify ya modify kr sake in suggestions ko so just contented rahein jo hai idar

ali raza marshal bhai agr ap mjhe thoda sa guide kr detey in points k barey main tu ju main ne pehly pochey tu apki bari inayat hoti ..... khair koe baat  nahi actually kafi bizi honey ki waja se solution mein nahi de ska.

kon sa points

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.

By using parametric form…..

x = aCos t
y = bSin t,                    0 ≤ t ≤ π

Which gives the half ellipse with positive y

dx/dt = - aSint
dy/dt = bCos t

V = π∫(aCos t)²(bCos t) dt            on    [0,π]

Thanks to the symmetry w.r.t  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

Substitute
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

Hence proved.

The volume of a spheroid (of any kind) is $\frac{4}{3}\pi a^2b \approx 4.19\, a^2b$

## Latest Activity

Rida Jaffery is now friends with Elegant and Hafiz Furqan Sabir
3 minutes ago
zisani joined + M.Tariq Malik's group

### CS504 Software Engineering - I

2 hours ago
zisani joined + M.Tariq Malik's group

### CS501 Advance Computer Architecture

2 hours ago
2 hours ago
+ ! ! ! ❣ AaiMa ❣ !+ updated their profile
2 hours ago
Rida Jaffery joined + M.Tariq Malik's group

### ENG101 English Comprehension

2 hours ago
Rida Jaffery joined + M.Tariq Malik's group

### CS201 Introduction to Programming

2 hours ago
〘٢٧ دن〘جلیبیاں updated their profile
2 hours ago
Rehan posted a status
"MGMT 625..past papers???"
3 hours ago
+ ! ! ! ❣ maho ❣ ! + updated their profile
3 hours ago
3 hours ago
3 hours ago

1

2

3