Questions asked by crayon

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• How to find real part of complex number of complex number α ?
  
• What is the the value of `sqrt(6+sqrt(20))`?
  
• What is the maximum value of `|z|` when `z` satisfies the condition `|z+(2/z)|=2` ?
  
• Is `BaCO_3` thermally stable? Why or why not?
  
• Which has a higher `pH` value : `0.01 M` `NaOH` or `0.1 M` `NaHCO_3`?
  
• What is the common tangent to the parabolas `y^2=4ax` and `x^2=4by` ?
  
• How do I prove that the motion represented by `y= asin2\omegat + bcos^2\omegat` is a simple harmonic motion ?
  
• What will be the major product obtained on dehydration of propan-1,2-diol ?
  
• What is the largest value of `a` for which the circle `x^2+y^2=a^2` lies completely inside the parabola `y^2=4(x+4)` ?
  
• What is the limit of `((1-x)/(1+x))^(1/x)` as `x` approaches `0`?
  
• How to solve this limit `\lim_{x\to pi/4} (sin2x)^(tan^2(2x))` ?
  
• How to solve `lim_(xto0)(ln cotx)^tanx`?
  
• How many isomers (including stereoisomers) can be obtained by free radical chlorination of 2,2,4-trimethylpentane?
  
• How do I know if a discontinuity in a function is removable or not?
  
• Solve for `x`: `2tan^-1(cosx)=tan^-1(2cscx)`?
  
• What is the approximate value of `f(x)=((2-x)/(2+x))^(1/5)` at `x=0.15`?
  
• If `f(9)=9` and `f^'(9)=4`, then what is the value of `lim_(x to9)(sqrt(f(x))-3)/(sqrtx -3)?`
  
• `f(x-y)=f(x)/f(y)` and `f^'(0)=p,f^'(a)=q` then what is `f^'(-a)?`