Questions asked by Callum S.

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• Why can't you have zero to the power of zero?
  
• How do you use hyperbolic trigonometric functions?
  
• Can you use logarithms to find the weight of 100 units if one unit is 0.7?
  
• How do you write the equation of a transformed graph?
  
• How to use logarithmic differentiation to find the derivative of a function, and can it be used for any function?
  
• How do you use the fundamental theorem of calculus and what can it be used for?
  
• How do you know which rule of differentiation to use?
  
• How to simplify algebraic fractions?
  
• What is the difference between the corollary and the second part of the Fundamental Theorem of Calculus?
  
• How do you simplify surds in brackets?
  
• How do you estimate the successive ionization energies of oxygen?
  
• Why is the first ionization energy of oxygen lower than the first I.E of fluorine? (3 marks)
  
• How to remember molecular bond angles?
  
• How to solve `1/2 +x/3 +x^2/4` where `x=1/2`? Please show steps.
  
• What is the formula `("group size")/("total population")times"sample size"` used for?
  
• How to find the `x` and `y` intercepts of a function?
  
• How to find the roots of a polynomial of `n^(th)` degree?
  
• Do polynomial functions have asymptotes? If yes, how do you find them?
  
• What is `intx^2*e^-x`? Please explain?
  
• What is the definition of a limit?
  
• What is the Feynman integral trick?
  
• Why is `d/dxe^x=e^x`?
  
• What are quaternions?
  
• How do you simplify `(x^(3/2))/(3/2)`?
  
• What is the antiderivative of `(ln(x))^2`?
  
• What is `lim _(xrarr 0) (8x^2)/(cos(x)-1)` and how do you get the answer?
  
• How do you find the equation for a curve between two points?
  
• How do you edit the additional information provided when you ask a question on Socratic?
  
• How do you find the equation for a curve between two points?
  
• How do you find `int_-3^2 1/2(x+3)(x-2)?`
  
• How do you find the x and y axes of a function without the graph?
  
• How do you find missing values in a matrix?
  
• How do you rationalise the denominator of `8/(3-sqrt5)`?
  
• What are polar co-ordinates and how are they used?
  
• How do you find the volume of the solid generated by revolving the graph of a function `f(x)` around a point on the x-axis?
  
• What are complex numbers, and how do you represent them on an Argand diagram?
  
• How do you solve the following question: Show that set of real numbers `x`, which satisfy the inequality `sum_(k=1)^70 k/(x-k) ge 5/4` is a union of disjoint intervals, the sum of whose lengths is 1988?
  
• How do you write mathematical proofs? I don't understand.
  
• Can someone check this proof for me, as I have looked over it, and I am not sure if it correct?
  
• When you are writing a script, can you show multiple actions on the right side of the page?
  
• How many scenes should be in each act of a play, and how many acts should a play have?
  
• How can I visualise higher dimensional `n`-spheres, where the dimension, `D`, is larger than 3? How can I find the volume of such an object?
  
• How do I teach myself calculus?
  
• How do you use Rolle's Theorem on a given function `f(x)`, assuming that `f(x)` is not a polynomial?
  
• How do you find the limit at a hole?
  
• When using the first derivative test to find the critical points of a function, do you always have to include `x=0?`
  
• How do you solve `P_(SELL)=(26.65)*(((26.65)*(17*P_(SELL)))/1.57)` for `P_(SELL)`?
  
• What happened to the Launchpad? Are there going to be any new subjects launched?
  
• How do you integrate `(x^(n+1))/(n+1)?`
  
• Can someone explain related rates problems to me?
  
• Why is the factorization of `2x^2+7x+6=(2x+3)(x+2)?`
  
• Can someone explain proof by mathematical induction to me?
  
• What is the common ratio of the series `50+40+38...`?
  
• How do you find the sum of an infinite non-geometric series?
  
• For which values of the Riemann zeta function `zeta(s)` has `s` not been proved?
  
• How do you test for the convergence or divergence of a non geometric series to infinity?
  
• How do I find missing values in binomial expansions?
  
• How do I find `A` and `B` in the partial fraction decomposition `91x+269=A(x+4)^2+B(x+4)`?