Answers created by Tom B.

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• How do you use a linear approximation to estimate `g(0.9)` and `g(1.1)` if we know that `g(1)=3` and `g'(x)=sqrt(x^2+15)`?
  
• How do you sketch the graph of `y=5x^3-32x^2+29x+30`?
  
• How do I estimate the area under the graph of `f(x) = sqrt x` from x=0 to x=4 using four approximating rectangles and right endpoints?
  
• Question #a7600
  
• Why are simple machines not 100% efficient?
  
• Suppose that I don't have a formula for `g(x)` but I know that `g(1) = 3` and `g'(x) = sqrt(x^2+15)` for all x. How do I use a linear approximation to estimate `g(0.9)` and `g(1.1)`?