We are here with you hands in hands to facilitate your learning & don't appreciate the idea of copying or replicating solutions. Read More>>
+ Link For Assignments, GDBs & Online Quizzes Solution |
+ 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.
Assignment No. 1
MTH101 ( Spring 2015 )
Total marks: 20
Lectures: 01 to 18
Due date: June 8, 2015
DON’T MISS THESE Important instructions:
• There are Four Sections and Each section carries 20 marks.
• Solve all questions of ONLY THAT ONE SECTION which is directed in your
ANNOUNCEMENT page. If you do not solve the INSTRUCTED SECTION, your
marks will be deducted. See your ANNOUNCEMENT page.
• Solve your assignment in MS Word, using Math Type Software.
• File with jpg or other image files will be awarded ZERO marks.
SECTION 1 ( For the students with Section incharge Miss Zakia Rehmat.
Question: 1 Marks: 5 + 5
a) Solve the following inequality and write the solution in the form of intervals.
321
55
x −>
b) Find the domain and range of the following function.
2
1()
4
gz
z
=
−
Question: 2 Marks: 3 + 2
Consider the following function.
32
2()
36
xxfx
x
−
=
−
a)
Construct a table for the values of ()fx corresponding to the following values
of x and estimate the limits
2
lim ( )x
fx−
→
and
2
lim ( )x
fx+
→
respectively.
1.97,1.9997, 1.999997,1.98, 1.9998
2.02, 2.01, 2.0002, 2.0001, 2.000001
x
x
=
=
b)
Evaluate the limit 2
lim ( )x
fx→
algebraically.
Question: 3 Marks: 5
Write the function in the form of ()y fu= and ()u gx= , then find dy
dx
as a function of x.
4
5 cos sin cosy x xx−
= +
Hint: Use “CHAIN RULE” to solve it
SECTION 2 ( For the students registered with Section incharge Mr. Imran Talib )
Question: 1 Marks: 5 + 5
(a) Solve the following inequality and show the solution set on the real line.
4 2
3
x
x
+
br/>−
(b) Find the centre and radius of the circle with equation:
22
10 8 59 0xy xy+− +−=
Question: 2 Marks: 5 + 5
( ) graphed here, state whether the following limits exist or not?
If they exist then determine it .Moreover, if they do not exist then just
(a) For the following functi
ify the answer with appropriate r
o
e on
n
as .
s ft=
0
2
1
(I) lim ( )
(II) lim ( )
(III) lim ( )
t
t
t
ft
ft
ft
→
→
→
−
−
4 3 2 1 1 2
1.0
0.5
0.5
1.0
2
2
23
43
(b) Let ( ) xx
x
x
x
h −−
−+
=
3
(I) Make a table of the values of at 2.9 2.99 2.999 2.9999 and so on.Then estimate lim ( ).
What estimate do you arrive at if you evaluate at 3.1 3.01 3.001 and so on ?
,, , ,
,, ,
x
h x hx
hx
→
=
=
3
(II) Find lim ( ) algebraically.
x
hx
→
SECTION 3 ( For the students registered with Section incharge Mr Muhammad
Sarwar )
Question: 1 Marks: 5
Given that A (5, 1) and B (3, 4). Find
(i) Slope of line joining A and B,
(ii) Equation of line passing through A and B
Question: 2 Marks: 5
Find the center and radius of the circle with equation,
22
3 3 21 6 7 0x y xy+ − + +=
Question: 3 Marks: 5
Evaluate,
2
3
4 36lim
3x
x
x→
−
−
Question: 4 Marks: 5
Find the derivative of 2
() 1fx x= − by definition /
0
( ) ()( ) limh
fx h fxfx
h→
+−=
SECTION 4
( For the students registered with Section incharge Mr. Mansoor Khurshid )
Question: 1 Marks: 5
Find the slope and y-intercept of the line 3 12 27 0.xy− += Deduce the x-intercept from the
equation of the line.
Question: 2 Marks: 3 + 2
(a) What do you judge about the differentiability of ()fx x= at 0x = ?
Support your answer with explanations and reasoning.
(b) Write names of two functions which are continuous on the set of real numbers ( ) .. ,R ie −∞ ∞
Question: 3 Marks: 2 + 3
(a) Let ( ) 200hx = . Investigate the value of ()hx when x approaches to .∞
(b) Find tandx
dx sin x
Question: 4 Marks: 5
Find the derivative of the function tany sin x cos x sec x x= +− , using “CHAIN RULE”
(i.e., by using some appropriate substitution).
Tags:
+ How to Follow the New Added Discussions at Your Mail Address?
+ 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?.
+ 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)math type sy word may kis trha paste krna hy, k sirf answer show ho
mjhy b yahe msla a rha tha, copy paste krny sy r answer k ilawa symbols b a jatyn hn.. agr word k main icons mn math type ki option h tw open kryn, nahe h tw extreme left p object ki option ho ge usay open krym r math type select kryn, us mn question solve kr k usay close kr dyn, jb ap close kryn ge tw msg show ho ga save changes, usay yes kryn ge tw khud e answer word sheet p a jaye ga!
ye word 2013 mn aisay krtyn hn jaisy mae ny btaya
mj b yhi problem ho rhi kia krn m mthtype ka option hai whan kfi sary options a jaty m kia krn ab usko real condition m lany k liye
section4 questn 1 mn x intercept kcy nikalna?
solution upload kr dia ha discussion chk kro..
discussion kahan se check krni hai
Just Copy AND Paste
fallow the link
http://storage.ning.com/topology/rest/1.0/file/get/3132254753?profi...
link post ki ha chk kro..
© 2019 Created by + M.Tariq Malik. Powered by
Promote Us | Report an Issue | Privacy Policy | Terms of Service
VU Students reserves the right to delete any profile, which does not show any Activity at site nor has not any activity more than 01 month.
We are user-generated contents site. All product, videos, pictures & others contents on vustudents.ning.com don't seem to be beneath our Copyrights & belong to their respected owners & freely available on public domains. We believe in Our Policy & do according to them. If Any content is offensive in your Copyrights then please email at m.tariqmalik@gmail.com or Contact us at contact Page with copyright detail & We will happy to remove it immediately.
Management: Admins ::: Moderators
Awards Badges List | Moderators Group
All Members | Featured Members | Top Reputation Members | Angels Members | Intellectual Members | Criteria for Selection
Become a Team Member | Safety Guidelines for New | Site FAQ & Rules | Safety Matters | Online Safety | Rules For Blog Post