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  1. anemone

    Challenge Determine the minimum value

    Thanks Mark for your so well explained solution to the challenge! Bravo!
  2. anemone

    Challenge Determine the minimum value

    Determine the minimum value of the function f(x)=x^4-6x^2+8x-3 .
  3. anemone

    Challenge Evaluate the sum

    Bravo, Mark! (Cool)
  4. anemone

    Challenge Evaluate the sum

    Given that abx^2=(a-b)^2(x+1). Find 1+\dfrac{4}{x}+\dfrac{4}{x^2}.
  5. anemone

    Challenge Quadratic equation that has two roots

    Very good Mark!(Cool) And thanks for participating in this challenge problem!(Heart)
  6. anemone

    New Buckeye Enters The Fold

    Hi and welcome to the forum! If your son has any math problems that he doesn't know how to do, just ask away! we are here to help out! (Smile)
  7. anemone

    Challenge Quadratic equation that has two roots

    Find all integer valuse of k such that the quadratic expression (x+k)(x+1991)+1 can be factored as a product of (x+p)(x+q), where p and q are integers.
  8. anemone

    Challenge Simplify a sum

    Beautiful! Thanks for participating, Mark!
  9. anemone

    Challenge Simplify a sum

    Very good, Mark! The following is the second part of the challenge: Evaluate \prod_{x=0}^{89} (\tan x \cos 1 ^\circ + \sin 1^\circ)
  10. anemone

    Challenge Simplify a sum

    Simplify \tan x \cos 1 ^\circ + \sin 1^\circ.
  11. anemone

    Challenge Find the sum of squares

    Aren't you my smartest Mark? Hehehe...:)(Cool) Your solution is of course correct and thanks again for participating my challenge math problem!
  12. anemone

    Challenge Find the sum of squares

    If x^3=12x+7y and y^3=7x+12y, evaluate x^2+y^2.
  13. anemone

    Challenge Solve for x

    Very well done, Mark!! And thanks for your constant support to my challenges.(Heart)
  14. anemone

    Challenge Solve for x

    Solve the equation x^{\log x}=\dfrac{x^3}{100}.
  15. anemone

    Challenge Find the sum to infinity of a sequence

    Indeed we are...great mind thinks alike? :)
  16. anemone

    Challenge Find the sum to infinity of a sequence

    Very well done, sweetie Mark!!(In Love) My solution: \dfrac{1}{1^2}+\dfrac{1}{2^2}+\dfrac{1}{3^2}+\cdots=\dfrac{\pi^2}{6} \dfrac{1}{1^2}+\dfrac{1}{3^2}+\dfrac{1}{5^2}+\cdots+\dfrac{1}{2^2}+\dfrac{1}{4^2}+\dfrac{1}{6^2}+\cdots=\dfrac{\pi^2}{6}...
  17. anemone

    Challenge Find the sum to infinity of a sequence

    If \dfrac{1}{1^2}+\dfrac{1}{2^2}+\dfrac{1}{3^2}+\cdots=\dfrac{\pi^2}{6}, evaluate the exact value of \dfrac{1}{1^2}+\dfrac{1}{3^2}+\dfrac{1}{5^2}+\cdots
  18. anemone

    Practice Find derivative of the sum of two quotients

    Very well done, Mark! This problem is hard to differentiate if one opts to start differentiating and then simplified later...but if we simplify it first, then what we need to differentiate is only the sine function. Thanks for participating, Mark!
  19. anemone

    Practice Find derivative of the sum of two quotients

    Find the derivative of \dfrac{\sin^2 x}{1+\cot x}+\dfrac{\cos^2 x}{1+\tan x}.
  20. anemone

    Challenge Logarithmic Challenge

    Thanks Mark for the compliment!