Problem calculating surface integral over a cylinder
Nov 10, 2024 · Problem: Find the surface integral $I=\\iint_S2x^2ydydz-y^2dzdx+4xz^2dxdy$, where $S$ is curved surface of the cylinder $y^2+z^2=9$ bounded by the planes $x=0,\\,x=2 ...
Determine whether the points lie on a straight line.
Mar 26, 2019 · Determine whether the points A(2, 6, 2) A (2, 6, 2), B(3, 10, 0) B (3, 10, 0), C(1, 4, 3) C (1, 4, 3) lie on a straight line. Is there a formula to solve this question? What is it?
What do the symbols d/dx and dy/dx mean? - Mathematics Stack …
May 2, 2015 · Okay this may sound stupid but I need a little help... What do $\\Large \\frac{d}{dx}$ and $\\Large \\frac{dy}{dx}$ mean? I need a thorough explanation. Thanks.
Show that a real symmetric matrix is always diagonalizable
Aug 31, 2020 · As the eigenvalues are real, one need only consider real (generalised) eigenvectors, and so one needs transpose, rather than conjugate transpose. Anyway, this does give a method to prove …
Proof of $\\frac{d}{dx}e^x = e^x$ - Mathematics Stack Exchange
I'm working through the proof of $\\frac{d}{dx}e^x = e^x$, and trying to understand it, but my mind has gotten stuck at the last step. Starting with the definition of a derivative, we can formulate...
Understanding Leibniz notation for higher-order derivatives
Nov 22, 2024 · The Leibniz notation is just a lazy way to denote multiple derivatives. We start with the first derivative dy dx = d dxy d y d x = d d x y. This refers to the limit of the difference quotient or …
How to change order of integration in a double integral?
Aug 15, 2013 · How would you go about changing the order of integration in a function say ; $$\\int_0^8\\int_\\sqrt[3]{y}^2 f(x,y)~dx~dy$$
calculus - dx (t)/dx vs. dx/dx - Mathematics Stack Exchange
Oct 7, 2015 · Think about dx dx d x d x as d dx(x) d d x (x) which means the derivative of the function x x (taking x x to be the variable--from the denominator of the fraction). Whereas dx(t) dx d x (t) d x …
How does one derive the Fourier transform of the ramp function?
Sep 9, 2016 · One approach could have been to see that the ramp function is the convolution of $2$ Heaviside step functions (at $0$). Hence, its Fourier transform should have been the product of the …
sequences and series - Mathematics Stack Exchange
Dec 30, 2025 · A triangle is divided by two cevians into four regions of integer areas $A,B,C,D$. What are the possible values of the area of the triangle ($A+B+C+D$)? Expressing ...