All the cool kids are doing it.
We’ll begin with a square function, f(t), that has a an amplitude of 1, a start time of 2 seconds and an end time of 4 seconds. Next, a time shift is demonstrated. Here our function is changed from f(t) to f(t-2). Notice that subtracting 2 from t in the function results in a positive [...]
Often during a course you will need to be able to solve a system equation for its roots. These roots can be complex, distinct, or repeated. These problems usually arise when working with linear systems or differential equations. A system equation is formatted as follows: System Equation: For example purposes, I will solve a system [...]
In integral can be thought of as an area underneath a curve. Integrals are often used to manipulate position, velocity, and acceleration equations to estimate different situations. If you are given an equation that represents the velocity of a golf cart driving, like so: (the ‘ in y’ represents the differential element that results when [...]
The 3 common methods of describing a point in a three dimensional coordinate system are Cartesian, Cylindrical and Spherical. The most simple is Cartesian but certain teachers find it necessary to use the others. There are a few simple conversions between them but first it is necessary to know their notation. Cartesian: Cylindrical: Spherical: In [...]
Suppose you are interested in finding the unit vector between two points, and , which are described in cartesian coordinates as and , respectively. You would begin by finding the vector between these two points. The direction of this vector may be important so look for key words such as . Once we have established [...]
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