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  1. J

    HSC Mathematics Marathon

    Let me keep on reading: ...., it is common to abbreviate an expression such as "the function f defined by f(x) = x^2+x" to "the function f(x)=x^2+x". A function f is a rule that assigns .....
  2. J

    HSC Mathematics Marathon

    Now I am looking at an example in a book. 'Graph the function f(x)=sinx+0.01cos100x' Another example in the same book. 'f(x)=(x^2-x-2)/(x-2) This function is discontinuous at a=2, since f(2) is not defined.'
  3. J

    HSC Mathematics Marathon

    You are contradicting yourself. Before you said f(x) is the rule of the function f. Now you are saying f(x) is the value of the function f at the point 'x'. A rule cannot be a value.
  4. J

    HSC Mathematics Marathon

    It isn't a constant function because a constant function cannot be odd.
  5. J

    HSC Mathematics Marathon

    you got it right
  6. J

    HSC Mathematics Marathon

    Evaluate \int_{-\frac{4}{\pi }}^{\frac{4}{\pi }}\left (tan^{-1}x \right+tan^{-1}\frac{1}{x} )dx
  7. J

    HSC Mathematics Marathon

    Evaluate \int_{-\pi }^{\pi }x^{3}cos\left ( 3x \right )dx
  8. J

    HSC Mathematics Marathon

    \int e^{x}sinxdx=\frac{e^{x}}{2}\left ( sinx-cosx \right )+c
  9. J

    Torque on a Current Loop

    your question imo is about a dc motor, not a dc generator
  10. J

    HSC Mathematics Marathon

    Usually we just say function f(x), we don't say the rule f(x) of the function
  11. J

    HSC Mathematics Marathon

    the answers
  12. J

    HSC Mathematics Marathon

    \large f\left ( x \right ) is an odd function and \large f\left ( x+2 \right )=-f\left ( x \right ). When \large x\epsilon \left ( 0,1 \right ), \large f\left ( x \right )=2^{x}. Evaluate \large f\left ( log_{\frac{1}{2}}18 \right ).
  13. J

    HSC Mathematics Marathon

    If you are giving up the gradient question, try the next one that you asked for. Sorry, it was Drongoski asking for another question.
  14. J

    HSC Mathematics Marathon

    You don't need to use l'Hospital's Rule. However, it gives you a quick answer if you know how to use it. The question remains open. May be get help from wolframalpha. When you finish with this question, do the following one.
  15. J

    Electromagnetic Induction -- Moving Magnet

    Hope it is right Not necessarily straight lines, depends on physical size of magnet and solenoid, as well as relative motion.
  16. J

    HSC Mathematics Marathon

    Find the gradient of a tangent line to the graph of \LARGE 3x^5-x^3-2x^3y-3x^2y+2y^2+y=0 at x=1.
  17. J

    2x Maths Questions

    AAEldar had the answers first
  18. J

    2x Maths Questions

    Re: 回复: Re: 2x Maths Questions OK Try p^2 + q^2 + r^2 = 5 p + q + r =1 p + 2q - r = 5
  19. J

    2x Maths Questions

    i think real solutions are required?
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