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• What is the equation of the normal line of #f(x)=e^(1/x)-x# at #x=-1#?
  
• What is the speed of an object that travels from #( -2,1,2) # to #( -3, 0,-7 ) # over #3 s#?
  
• How do you differentiate #f(x)=sin2x * cotx# using the product rule?
  
• A chord with a length of #35 # runs from #pi/8 # to #pi/2 # radians on a circle. What is the area of the circle?
  
• What is the orthocenter of a triangle with corners at #(4 ,3 )#, #(9 ,5 )#, and (8 ,6 )#?
  
• How do you find the equation of the line tangent to #f(x)= (sqrtx+1)#, at (0,1)?