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?