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Category Archives: Applications
Calculus isn’t useless: When Velociraptors Attack
1. Some critics may sneer calculus is useless. Oh yeah? Well, we can solve this problem: Question: The velociraptor spots you away and attacks, accelerating at from a stand start, up to its top speed of . When it spots … Continue reading
Posted in Applications, Calculus, Differential, Integral, Optimization
2 Comments
Area of a Surface of Revolution (Part 1)
1. Suppose we consider some function on the domain . For example: We revolve this about the axis by 360 degrees. So this looks like Question: what is the area occupied by this surface?
Posted in Applications, Calculus, Definite Integral, Integral
2 Comments
Calculating ArcLength of Curves
1. Recall we have some curve usually of the form . But sometimes we can write it as where both coordinates are a function of “time” . Convention: we will set . [Caveat: some exercises may have a different range … Continue reading
Posted in Applications, Calculus, Integral
2 Comments