Calculus Solved is software that is useful for learning calculus. It allows you to enter in problems and will walk you through how to solve each one. It also includes tests so you can track your progress.
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Trigonometry isn't required to learn calculus, but it does help you to understand some of the concepts. Geometry, however, is usually required before taking a course in trigonometry.
The simple answer is any phenomena that is changing in a non-linear manner.
An understanding of the math behind the problem will help you solve the problem. High-level Computer Science is about modeling natural sciences which is where you will need to understand the basics of calculus.
It is used in physics all the time. For example, acceleration is the derivative of velocity which is a derivative of position with respect to time. Calculating the amount of work done in a vector field (like an electrical field) also uses calculus.
Sweetheart, I can't help you cheat. You're gonna have to put on your big kid pants and figure out those math problems on your own. Trust me, you'll thank me later when you actually understand the material.