Answers edited by Costas C.

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• For what values of x is #f(x)=(-2x)/(x-1)# concave or convex?
  
• Can a function be continuous and non-differentiable on a given domain??
  
• How do you find general form of circle centered at (2,3) and tangent to x-axis?
  
• In the reaction #2NaOH+H_2SO_4 -> 2H_2O+Na_2SO_4#, how many grams of sodium sulfate will be formed if you start with 200.0 grams of sodium hydroxide and you have an excess of sulfuric acid?
  
• Using the limit definition, how do you differentiate #f(x)=(3x)/(7x-3)#?
  
• How are distance and changing velocity related to limits?
  
• What is the wavelength of an electron with a mass of 9.11 x 10^-31 kg and a speed of 2.5 x 10^6 m.s^-1.?
  
• An object with a mass of # 2 kg# is traveling in a circular path of a radius of #4 m#. If the object's angular velocity changes from # 1 Hz# to # 9 Hz# in # 3 s#, what torque was applied to the object?
  
• How do you find the horizontal asymptote for #f(x) = (3x^2 + 2x - 1) / (x + 1)#?
  
• How do you find the derivative of the function using the definition of derivative #f(x) = 10#?