Recent content by BvU

Perhaps because y is running from 0 to a and not from a to 0 ? (ah, you answered your own question :smile: )

Repaired my rusty ##\TeX## : \bf \color{red} works in math mode, \color{red} \bf does not.

Hi, I think you are confusing yourself with this linear independence. Note that (5) is a vector equation (##=\vec 0##) Pick any of A, B or C as origin and it turns into e.g ##x\vec a + y \vec c =\vec 0##. Now independence tells you x=0 and y=0. Two equations in two unknowns (##\lambda## and...

$$\vec b -\vec a+\lambda(a-2\vec b+\vec c)=\dfrac{\mu}{2}(\vec b+\vec c-2\vec a)\Rightarrow (\lambda-1-\mu)\vec a+(1-2\lambda-\mu/2)\vec b+(\lambda -\mu/2)\vec c=0\qquad\mathbf{(5)}$$ should be $$\vec b -\vec a+\lambda(a-2\vec b+\vec c)=\dfrac{\mu}{2}(\vec b+\vec c-2\vec a)\Rightarrow...

Have you seen the video "How big is a photon" mentioned in a similar thread here ? ... :smile:

Hi, main thought: one needs to be clairvoyant to guess what you do, what comes out and what you expect. Please post a concrete description of the model.

the ideal gas assumption also includes zero molecular volume. The ratio you mention doesn't exist. To go from ideal gas ##\ \displaystyle {\left ( {pV = nRT}\right)}\ ## to real gas ##\ \displaystyle {\left ( {pV = ZnRT}\right)}\ ## two phenomena are brought in: molecular size and...

Hi, :welcome: I strongly advise the quadrature approach. The linear method is a dead-end path. At bachelor level some calculus and some statistics should be taught so students understand the underlying math for gaussians, least squares, confidence level *), etc. *) your k=2 is related to the...

:welcome: The picture is fine, but the hieroglyphs are more difficult.: is hard to decipher ... In PF you often get more questions than answers: :wink: I suppose the problem statement says no friction between surface and ##m_0## ? How can you write ## \ T-m_1g=m_1a_1 \ ## and ##\ m_2g - T...

Hi, good thing a friendly moderator (Berkeman) added the [CODE=MATLAB] tags for legibility ! Still: over 300 lines scares off most potential helpers ! Then: I don't have MATLAB, only OCTAVE so I had to fumble a bit. Even then, can't run beyond about halfway up to...

Can't help it ... looks as if you want to integrate $$\int\limits_{-\pi/2}^{\pi/2}\ \int\limits_0^{a\cos\theta} \int\limits_0^\sqrt{a^2-r^2} \ r\ dz\,dr\,d\theta $$ Well, copy/paste the ##\LaTeX## code to Wolframalpha (with a=1 out of pure ignorance) and sure enough: which is exactly one...

Hi, may I remind you of the Homework Help Guidelines for Students and Helpers and ask for a few clarifications ? I spent some time finding your problem in my son's copy of Stewart 5th ed Ch 15.8 exercise 14: (a) Find the volume of the solid that the cylinder ##r=a\cos\theta## cuts out of the...

Hi, Interesting exercise. Your post is rather incomplete though, and also hard to follow. Cosmetically: you want to enclose code with the tags [code=matlab] ... [/code] function Vout = myFilterCircuit(Vin,h) n_V = length(Vin); f_7 = 4470;; % Undesired frequency h_7 = h; % delta time % These are...

Hi, See rules etc: explain (in words) what you are doing; make a sketch (Height versus time) of what happens. We are a bit reluctant to reverse engineer your writings, so you have to help us help you :cool: ##\ ##

:welcome: Look at the picture: Doesn't it seem strange that Check your math -- and is your calculator set up for radians or for degrees ? ##\ ##