Find the 3rd order Taylor polynomial of $f(x,y)=\log(1+x-y)$ at $a=(0,0)$ So I'll just list out the partials I computed: $f_x=\frac{1}{x-y+1}$, $f_y=...
Calculate Fourier series of $f(x)=x^2$ , $x \in \ [-\pi,\pi]$ and determine module and phase spectrum $$f(x)=\frac{a_0}{2}+\sum_{n=1}^{+\infty} a_n \ \cos...
I am having trouble evaluating this formula. I have tried to solve it and got 1/4 as an answer. However by using the function Sf(x)dx in the Calc button i...
A woman standing on a hill sees a flagpole that she knows is $35$ ft tall. The angle of depression to the bottom of the pole is $14^{\circ}$, and the angl...
I am trying to solve an exercise given in Vakil's Algebraic Geometry notes. Suppose $M$ is a finitely presented $A$-module. The $M$ fits inside an ex...
I was playing with numbers on calculator and to my amaze i could see that calculator calculated $(4.5)!$ or any real numbers but factorial is defined for ...