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Thread: MTH101 (Fall 2010) Calculus And Analytical Geometry first assignment solution

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    Icon14 MTH101 (Fall 2010) Calculus And Analytical Geometry first assignment solution

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    Due Date: Nov 03, 2010
    DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
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    Question 1; Marks:10


    Solve the two sided inequality and show the solution on real line
    7 < 1-2x ≤ 10

    Question 2; Marks: 10


    Given two functions as:
    f(x) = [IMG]file:///C:/DOCUME%7E1/rabnol/LOCALS%7E1/Temp/msohtml1/01/clip_image002.gif[/IMG] and g(x) = [IMG]file:///C:/DOCUME%7E1/rabnol/LOCALS%7E1/Temp/msohtml1/01/clip_image004.gif[/IMG]
    Find fog(x) also find the domain of f, g and fog

    Question 3; Marks:10

    Simplify, then apply the rules of limit to evaluate
    [IMG]file:///C:/DOCUME%7E1/rabnol/LOCALS%7E1/Temp/msohtml1/01/clip_image006.gif[/IMG]

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  2. #2
    i cant open these attach files in which format these files are ........can u make thm jpg or else pls....

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    Icon10

    Solve the two sided inequality and show the solution on real line7 < 1-2x ≤ 10
    Step 1: subtract 1 from both sides and we get
    6<-2x<9
    Step2: 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
    ß--|---|-----|-----|----|---0--------------------------------ŕ
    -5 -4 -3 -2 -1
    [IMG]file:///C:%5CDOCUME%7E1%5Csalman%5CLOCALS%7E1%5CTemp%5Cmso html1%5C01%5Cclip_image001.gif[/IMG]

    Question 2; Marks: 10



    Given two functions as:
    f(x) = [IMG]file:///C:%5CDOCUME%7E1%5Csalman%5CLOCALS%7E1%5CTemp%5Cmso html1%5C01%5Cclip_image003.gif[/IMG] and g(x) = [IMG]file:///C:%5CDOCUME%7E1%5Csalman%5CLOCALS%7E1%5CTemp%5Cmso html1%5C01%5Cclip_image005.gif[/IMG]
    Find fog(x) also find the domain of f, g and fog
    Solution:
    Fog(x)=f(g(x))
    fog(x)=(g(x))2-(g(x))-1
    fog(x)=(3/x)2-(3/x)-1
    fog(x)=(9/x2)-3/x-1
    fog(x)= -(x2-3x+9)/x2
    (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
    [IMG]file:///C:%5CDOCUME%7E1%5Csalman%5CLOCALS%7E1%5CTemp%5Cmso html1%5C01%5Cclip_image007.gif[/IMG]
    Solution:
    Lim(x->3) x(x2-5x+6) / x2-32
    Lim(x->3) x(x2-3x-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

  5. #5
    thnx alot sir

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    welcome always. please try to upload your assignments as soon as possible

  7. #7
    sir m still facing the problem for domain can u pls solve that too

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    What is your problem? Let me know.

  9. #9
    i want domain of these Find fog(x) also find the domain of f, g and fog

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