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The asymptotes of a curve are the lines or curves that approach a given curve very closely without actually touching it. They make curve sketching much easier. You will probably only have asymptotes that ...
Let's begin by reviewing a fairly simple (linear) equation:
(1) y = 2x + 3
(1) describes the relationship between two variables, <...
First, we use the idea that a complex number z can be written in terms of its real and imaginary parts, i.e. z = x+iy, to write our expression as:
| x+ iy -5 - 3i | = ...
What is first principle? Why does it look nothing like the differentiation I had been doing for the past few years?
Take a matrix A=(acbd), where a,b,c,d are numbers.
First find the determinant. This is ad-bc.
Now, rearrange the matrix to become (...
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