3. It is a fact that if you take a tube and fill it with liquid, the liquid will rise and fall based on the temperature. Assume that we have a tube of liquid, and we have a function h(T), where h is the height of the liquid in cm at temperature T in °F. I. It is true that h(32)=1. What does that mean in physical terms (interpret the units)? Describe the inverse function h'. What are its inputs? What are its outputs? What would the function notation look like (don't use h' because that would be confusing)? What does it measure? II. There is a devise, currently available at your local drug store, that measures the function h'. What is the name of this devise? III.

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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.