Sponsored Links


+ Reply to Thread
Results 1 to 2 of 2

Thread: MTH 101 Calculus And Analytical Geometry Assignment No.1 Spring April 10 2012

  1. #1
    Super Moderator Vuhelper's Avatar Users Flag!
    Join Date
    Apr 2011
    Posts
    7,771

    Icon51 MTH 101 Calculus And Analytical Geometry Assignment No.1 Spring April 10 2012

    Sponsored Links




    MTH 101 Calculus And Analytical Geometry Assignment No.1 Spring April 10 2012

    Assignment No. 1
    MTH 101 (Spring 2012)


    Maximum Marks: 20
    Due Date: 18th April. 2012

    DONíT MISS THESE Important instructions:

     To solve this assignment, you should have good command over first
    08 lectures.
     Upload assignments properly through LMS, (No Assignment will be accepted through email).
     Write your ID on the top of your solution file.
     All students are directed to use the font and style of text as is used in this document.
     Donít use colorful back grounds in your solution files.
     Use Math Type or Equation Editor etc. for mathematical symbols.
     This is not a group assignment, it is an individual assignment, so be careful and avoid copying othersí work. If any assignment is found to be copy of some other, both will be awarded ZERO MARKS. It also suggests you to keep your assignment safe from others. No excuse will be accepted by anyone if assignment is found to be copied or letting others to copy.



    Sponsored Links



    Question # 01: 10
    Solve the following inequalities.






    Question # 02: 10
    Given that . Find . Also, find the domains of composite functions.




    (Note: In order to get full marks, do all necessary steps)


    Attached Files
      Please register or login to download the attachments.

  2. #2
    Super Moderator Vuhelper's Avatar Users Flag!
    Join Date
    Apr 2011
    Posts
    7,771
    Idea Solution


    Solve the two sided inequality and show the solution on real line7 < 1-2x ≤ 10Step 1: subtract 1 from both sides and we get6<-2x<9Step2: divide by -2 on both sides and we get-3>x>-5(note: symbols are reversed with a negative operation)So x can have a value between -3 and or equal to -5


    --
    |---|-----
    |
    -----|----|---0--------------------------------

    -5 -4 -3 -2 -1
    Question 2; Marks: 10
    Given two functions as:f(x) =
    2
    1
    x x
    − −
    and g(x) =3
    x
    Find fog(x) also find the domain of
    f
    ,
    g
    and
    fogSolution:
    Fog(x)=f(g(x))fog(x)=(g(x))
    2
    -(g(x))-1fog(x)=(3/x)
    2
    -(3/x)-1fog(x)=(9/x
    2
    )-3/x-1fog(x)= -(x
    2
    -3x+9)/x
    2
    (note: domain and ranges are to be found out yourselves, listen to lecture No. 6 for this)
    Question 3; Marks:10
    Simplify, then apply the rules of limit to evaluate
    3 232
    56lim9
    x
    x x x x

    − +−
    Solution:
    Lim(x->3) x(x
    2
    -5x+6) / x
    2
    -3
    2
    Lim(x->3) x(x
    2
    -3x-2x+6) / (x-3)(x+3)Lim(x->3) x(x(x-3)-2(x-3)) / (x-3)(x+3)Lim(x->3) x((x-3)(x-2)) / (x-3)(x+3)Lim(x->3) x(x-2) /(x+3) Now applying limits lim x->3=3(3-2)/3+3=3(1)/6=3/6=Ĺ


+ Reply to Thread

Thread Information

Users Browsing this Thread

There are currently 1 users browsing this thread. (0 members and 1 guests)

     

Similar Threads

  1. Second Assignment MTH101 - Calculus And Analytical Geometry
    By kamran01 in forum Get Solution In 24 Hour
    Replies: 6
    Last Post: 11-22-2010, 12:50 PM
  2. Replies: 1
    Last Post: 11-19-2010, 09:53 AM
  3. Replies: 13
    Last Post: 10-28-2010, 08:30 PM
  4. Replies: 0
    Last Post: 08-01-2010, 01:42 PM
  5. Replies: 0
    Last Post: 07-26-2010, 11:12 AM

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
-: Vuhelp Disclaimer :-
None of the files shown here are hosted or transmitted by this server. The links are provided solely by this site's users. The administrator's or staff of Vuhelp.net cannot be held responsible for what its users post, or any other actions of its users. You may not use this site to distribute or download any material when you do not have the legal rights to do so. It is your own responsibility to adhere to these terms. If you have any doubts about legality of content or you have any suspicions, feel free to contact us.
Pknews |Vugurus|Online Education