determine the concentration of a medicine in a person's body over time, taking into account how much substance and how frequently it is taken and how fast it metabolises
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well derivatives cannt be used without limits so it is application for calculus
Leibniz's contribution was more on developing the theoretical basis and the notation whereas Newton's was more in its application.
It is a tool for an engineer. I am a mechanical engineer, and you MUST know your calculus to be able to get through it, or through physics with calc. Good luck!
Measures of motion (displacement, velocity, acceleration) and forces are all vectors so any study involving these would require vector calculus.
Maps and architectural drawings.