Answers edited by Truong-Son N.

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• What is the coefficient of x^2 in the Taylor series for #(1+x)^-2# about a=0?
  
• Why can we not walk forward in space with no surface?
  
• A snowball, in the shape of a sphere, is melting so that the radius is decreasing at a uniform rate of 1cm/s. How fast is the volume decreasing when the radius equals 6cm?
  
• How to find the area under the curve y=2x+4 from x=0 to x=2 ?
  
• What is the derivative of #arctan sqrt x#?
  
• What is a corner in calculus?
  
• How does #"AlCl"_3# behave as an acid in the presence of #"Cl"_2# in water? It has no protons... so is it a Lewis acid?
  
• Explane entropy and enthalpy in detail?
  
• Determine the first-excited state of scandium?
  
• In general, how are two elements on the same column of the periodic table expected to behave with respect to each other? What might be some differences?
  
• Why is a pi bond weaker than sigma bond?
  
• How do you find what the mass on the spring is if you know the period and force constant of the harmonic oscillator?
  
• Why do certain atoms emit certain colors of light? How do they get the energy to do so, and what kinds of particles are involved in this process?
  
• Find d²y/dx² in terms of t if x= (1-t²)/(1+t²) and y=t/(1+t²)?
  
• How do you represent molecules in 3D? Does it matter that you draw hashes or wedges?
  
• Two sides of a triangle are 6 m and 7 m in length and the angle between them is increasing at a rate of 0.07 rad/s. How do you find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is pi/3?
  
• How do you integrate ln(x+1)?
  
• How do you find the volume of the solid generated by revolving the region bounded by the curves y=x^3 and y=x^4 rotated about the y-axis?
  
• How do you convert 16 revolutions to radians?
  
• Are nucleophiles Lewis bases? Why?
  
• Write equations to show how 2,3-dimethylbutane may be prepared from each of the following compounds. (i)an alkene (ii)A grignard reagent (iii)a haloalkane (iv)a sodium alkanoate?
  
• Write a stepwise mechanism that shows how a small amount of CH3CH3 could form during the bromination of CH4?
  
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