Answers created by PhilippG

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• A particle moves along a horizontal line according to the position function #s(t)=t^3-12t^2+36t#, where t is measured in seconds and s is in metres. How do you find the total distance travelled during the first 8 seconds?
  
• If the following is a probability distribution function: #f(x)=k(1/x^2)#, what is k and what is the variance?
  
• Is #f(x)=e^(3-3x)+x/ln2x# concave or convex at #x=1#?
  
• What is the equation of the tangent line of #f(x) =1/ (1+2x^2) # at # x = 3#?