This is a problem that someone presented to me and I tried to do. My work is shown below the problem. I got my answer (or I thought I did), but it is not ...
My question is related to how to find a local maximum and local minimum. As far I know, for the first we should find derivative of the function and set it...
For a regular surface $\mathbf{x} = \mathbf{x}(u,v)$ Define $\mathbf{y}(u,v) = \mathbf{x}(u,v) + t \mathbf{N} (u,v)$ where $\mathbf{N}$ is the unit normal...
Title says it all. Google doesn't have anything. Trying to get it to let me submit by typing more words. There is nothing really to be added but it w...
$y=\operatorname{arcsec}x$ can be defined in two ways. The first restricts the domain of $\sec y$ to $[0,\pi], y\neq\frac{\pi}{2}$. So the range of $y$ go...
The finite difference expressions for the first, second and higher derivatives in the first, second or higher order of accuracy can be easily derived from...
Could you give me concrete examples about "a function that is bounded and measurable but not Lebesgue integrable". Royden's textbook "Real analysis" ...
Find the maximum value of the function $f(x,y) = (x+2y)^2$ on the unit circle $x^2+y^2=1$. I defined a new function $g(x)= x^2 +4x\sqrt{1-x^2} +4(1-x^2) $...