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Math Help - Calculus Problem? Would you mind to guide me on solving it?

  1. #1
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    Question Calculus Problem? Would you mind to guide me on solving it?

    Hello to all Mathematicians! Would you mind to help me here?
    I've got some Problem and manage to solve some but still not sure on my answer though. Also, please check my answers if they were right or not. If its wrong then please correct me.

    Legend:
    indefinite integral = indefinite integral sign
    sqrt. =square root sign followed by: ( )
    ^ = exponent
    lim = limit
    infinity = infinity sign
    pi = pi sign

    1. indefinite integral of sqrt.of ((1+2x)/1-2x)) dx
    2. indefinite integral of (xsin(x))/cos^3(x) dx "where cos^3 (x) not cos(3x)"
    3. lim x->-infinity ((x) sqrt. of (sin(2/x^2)))
    4. lim x->1- ((pi/6)arcsin(x/2))^(1/arccos(x))
    5. Using langrage equation find f(x)=3/2x if x(subscript:0) = 1
    6. find the implicit function and fourth derivative function of: x^(3/4) + y^(3/4) =9
    7. find the Max and Min of function y=3x + sqrt. of (1-x) in points [-5,1]

    My answers:
    1. -x-ln(|(-2x+1)|)+C
    2. +C
    3. e^(-1/2)
    4. e^(pi/6)
    5,6,7 ? i dont know how to solve it
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  2. #2
    MHF Contributor
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    1 correct
    2 you just have c
    3 wrong

    Too many questions in one thread

    7 Take derivative, set equal to zero, find critical pts, evaluate the intervals and don't forget the end points

    6 Do you know implicit differentiation?
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  3. #3
    Master Of Puppets
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    Quote Originally Posted by dwsmith View Post
    Too many questions in one thread
    yep, thanks dw, tadomore pls check the forum rules.

    Quote Originally Posted by tadomore View Post
    7. find the Max and Min of function y=3x + sqrt. of (1-x) in points [-5,1]
    Solve \displaystyle \left(3x+\sqrt{1-x}\right)'= 0
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  4. #4
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    Quote Originally Posted by tadomore View Post
    Hello to all Mathematicians! Would you mind to help me here?
    I've got some Problem and manage to solve some but still not sure on my answer though. Also, please check my answers if they were right or not. If its wrong then please correct me.

    Legend:
    indefinite integral = indefinite integral sign
    sqrt. =square root sign followed by: ( )
    ^ = exponent
    lim = limit
    infinity = infinity sign
    pi = pi sign

    1. indefinite integral of sqrt.of ((1+2x)/1-2x)) dx
    2. indefinite integral of (xsin(x))/cos^3(x) dx "where cos^3 (x) not cos(3x)"
    3. lim x->-infinity ((x) sqrt. of (sin(2/x^2)))
    4. lim x->1- ((pi/6)arcsin(x/2))^(1/arccos(x))
    5. Using langrage equation find f(x)=3/2x if x(subscript:0) = 1
    6. find the implicit function and fourth derivative function of: x^(3/4) + y^(3/4) =9
    7. find the Max and Min of function y=3x + sqrt. of (1-x) in points [-5,1]

    My answers:
    1. -x-ln(|(-2x+1)|)+C
    2. +C
    3. e^(-1/2)
    4. e^(pi/6)
    5,6,7 ? i dont know how to solve it

    Please don't post more than two questions in a thread. Otherwise the thread can get convoluted and difficult to follow. See rule #8: http://www.mathhelpforum.com/math-he...ng-151418.html.

    Thread closed.
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