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# Curve Sketching

You don't need a calculator or computer to draw your graphs! Derivatives and other Calculus techniques give direct insights into the geometric behavior of curves.

What is the normal to the curve \( y=2x^2 - 3x -15 \) at the point \( (3, -6) \)?

What is the normal to the curve \( y=10{e}^x + {x}^2 +5 \) at the point \( (3,10{e}^3+14 ) \)?

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