Questions asked by Robin L.

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• If #f(x)={(ln3x", " 0<x<=3),(xln3", "3<x<=4) :}#, then #lim_(xto3)f(x)# is?
  
• Let F(x) be an antiderivative of #(2(lnx)^4)/(3x)#, If F(2)=0, then F(8)=?
  
• How to find the coordinates of each point on the curve where the tangent line is vertical?
  
• #int_(pi/4)^(pi/2)(-e^(cotx))/(sin^2x)dx=#?
  
• If #F(x)=int_1^(x^2)sqrt(t^2+3)dt#, then #F'(2)=#?
  
• The minimum acceleration attained on the interval #0<=t<=4# by the particle whose velocity is given by #v(t)=t^3-4t^2-3t+2# is?
  
• If #y=3x+6#, what is the minimum value of #x^3y#?
  
• If the function #f# is defined by #f(x)=int_0^x-sint^2dt# on the closed interval #-1<=x<=3#, then #f# has a local maximum at x=?
  
• If #(dy)/(dx)=sqrt(y^2+1)#, then #(d^2y)/(d^2x)# is what?