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• How do you find the equation of the line tangent to `f(x)= (sqrtx+1)`, at (0,1)?
  
• 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 )#?
  
• What is the equation of the normal line of `f(x)=e^(1/x)-x` at `x=-1`?
  
• How do you differentiate `f(x)=sin2x * cotx` using the product rule?
  
• What is the speed of an object that travels from `( -2,1,2)` to `( -3, 0,-7 )` over `3 s`?