9. You are designing a water slide. Your first step is to create an algebraic model to describe the slide's profile, as shown. a. Use graphing technology to determine an equation for the algebraic model. Consider the shape only; do not worry about scale. Describe how you arrived at your design. b. Because of safety concerns, you want to make the slide less steep, and with smaller bumps. Suggest changes to your algebraic model and an include a graph that shows your original design and the one that has the improved safety features.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.