The height of a ball thrown in the air is given by $h(x) = \frac {–1}{12} x^2 + 6x+ 3$, where x is the horizontal distance in feet from the point at which...
I first thought to use the Taylor series of $\displaystyle \frac{1}{1+x}$, which makes $$\frac{1}{x^2+2x+2}=\frac{1}{1+(x+1)^2}=1-(x+1)^2+(x+1)^4-\cdots$$...
I'm trying to find the antiderivative of $A(x)=\cos(x)\log(1+\cos(x))$ By using integration by parts I get : $$\int A(x)\, dx = \sin(x)\ln(1+\cos(x))...
In school, I have learnt to plot simple graphs such as $y=x^2$ followed by $y=x^3$. A grade or two later, I learnt to plot other interesting graphs such a...
Divergence of a series of complex numbers is defined in the following way: The series $$\sum_{n \geq 0} a_n\,\,\,\,\, , a_n \in \mathbb{C}$$ diverges iff ...