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 ...

Possible Duplicate: Explain $\\iint \\mathrm dx\\mathrm dy = \\iint r \\mathrm d\\alpha\\mathrm dr$ I'm reading the proof of Gaussian integration. When we change to polar coordinates, why do we get an "

May 2, 2015 · Okay this may sound stupid but I need a little help... What do d dx d d x and dy dx d y d x mean? I need a thorough explanation. Thanks.

Aug 15, 2013 · How would you go about changing the order of integration in a function say ; $$\\int_0^8\\int_\\sqrt[3]{y}^2 f(x,y)~dx~dy$$

The statement is imprecise: eigenvectors corresponding to distinct eigenvalues of a symmetric matrix must be orthogonal to each other. Eigenvectors corresponding to the same eigenvalue need not be …

Apr 8, 2018 · I understand the meaning of $\frac {dy} {dx}$ and $\int f (x)dx$, but outside of that what do $dy, du, dx$ etc.. mean? When I took calc I, derivatives and integrals ...

Update: Two things have happened: Rankeya has given a valid answer to the written question, but I realize now I was too vague. Secondly, I looked up the correct exercise in Jacobson and found that …

Oct 7, 2015 · its actually $\dot x$ or $\frac {dx} {dt}$, the term inside of the integral.

Nov 23, 2020 · In this lecture on method of moment, we have: why is gradient of psi inverse a dxd matrix? K-th moment $m_k$is defined as $ \\mathbb E[X^k] $ and can be estimated by ...

@Garmen: Please take a look at my comments under the answer you accepted. That answer is quite misleading; one of the limits is wrong, and the concept "infinitesimally small" is being used informally …