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    Reaction between water and chromium metal

    Hi there, How to write the reaction between water and chromium metal under standard (i) acid and (ii) base condition? Cr + 3H2O ----> Cr(OH)3 + 3e- + 3 H+ (acid condition) basic solution ??? Please help
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    The different between the work (PV ) in ΔU and the work (PV ) ΔH

    Hi Chet thanks for the answer :)
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    The different between the work (PV ) in ΔU and the work (PV ) ΔH

    Hi Chet, I will be waiting for you here. Enjoy your evening. :) Izen
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    The different between the work (PV ) in ΔU and the work (PV ) ΔH

    w= -P ΔV in case of constant Pressure, ΔH= (q -PΔV) +PΔV >> ΔH= q So w in ΔU will be the same when constant pressure with Δ(PV) in ΔH ? if the pressure is not constant What is P in ΔU ? is it P external? and what is P in ΔH ? P in ΔH is Pressure of system? in case of ideal gas, Δ(PV) = nRT so...
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    The different between the work (PV ) in ΔU and the work (PV ) ΔH

    By definition ΔU = q+PV ΔH = ΔU+PV Well, what are the different between the work (PV ) in ΔU and the work (PV ) ΔH then ? thank you
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    Limit of sequence lim n (1-cos(2/n))

    1. Homework Statement 2. Homework Equations 3. The Attempt at a Solution above picture !! Exam in 3 hours :( please help
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    Laplace transform solve integral equation

    Thanks lurflurf I got it now :)
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    Laplace transform solve integral equation

    u meant put L{y} to the same side and then reverse transform? I'm try that way but still didnt get that answer
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    Laplace transform solve integral equation

    1. Homework Statement 2. Homework Equations 3. The Attempt at a Solution The answer is y(t) = t^{4}+\frac{t^{6}}{30} Don't know what to do next any advices please
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    Trigonometry identity sin(pi)cos(wpi)+cos(pi)sin(wpi)

    Ohhh :shy: Just been thinking about using trig identity, thank you Dick !
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    Trigonometry identity sin(pi)cos(wpi)+cos(pi)sin(wpi)

    1. Homework Statement Hi guys, How can sin(∏)cos(ω∏)-cos(∏)sin(ω∏) = sin(ω∏)? please guide me trigonometry identity to apply with this? 2. Homework Equations 3. The Attempt at a Solution
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    Square wave Fourier series

    Hi collinsmark & rude man , I just found out that my both of my sketches was wrong. It should be the as collinsmark sketch. Thank you you guys for the comments.
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    Square wave Fourier series

    Hi rudeman, thanks for the reply yes, I know what you mean but I have checked my book there is no equal signs in that question. and not only this question that has no equal sign most of the questions and examples in my exercise book and lecture note.
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    Fourier integral representation of function

    1. Homework Statement How can I get to that answer? 2. Homework Equations 3. The Attempt at a Solution I'm stuck dont know how to get to the answer that I got from wolframalpha. there is no solution there unfortunately. I know how to get to that denominator w^2-1 but I dont know how...
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    Square wave Fourier series

    I still cannot see it where it is defined f(x) = 1, 0 =< x < 1 and f(x) = 2, 1 < x <= 2. What I see on the question is f(x) = 1, 0 < x < 1 and f(x) = 2, 1 < x < 2. Maybe I misunderstand something :frown:
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    Square wave Fourier series

    1. Homework Statement what values does the Fourier series for f(t) converge to if t = 0 and t = 2? 2. Homework Equations 3. The Attempt at a Solution My answers the red rectangles for the even function t=0 >> 1 and t=2 -->1.5 and odd function t=0 >> 0 and t=2 -->1.5 because at...
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    Fourier of Half-Wave Rectified

    Use L' Hopital's Rule --> \displaystyle \ \lim_{t\to0}cos(t) = 1 thank you SammyS
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    Fourier of Half-Wave Rectified

    1. Homework Statement How did \frac{1}{2}x come from at k=1? 2. Homework Equations 3. The Attempt at a Solution because k=1 will make the first term at denominator 2(k-1) = \frac{0}{0}
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    Fourier series (2 same functions different inequality signs)

    I think integral give a different result so they are different ? not 100% sure because in my lecture note all the example are < ,> there is no single example has <=, >=. so when I tried to do some exercise there are <=, >= on the functions so it kinda confused me. please explain more
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    Fourier series (2 same functions different inequality signs)

    1. Homework Statement these two functions will give the same Fourier series? because when I write the graph they look the same? 2. Homework Equations 3. The Attempt at a Solution in the picture thank you 1. Homework Statement 2. Homework Equations 3...
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    Comparison test

    Thank you for the comments \sum^{\infty}_{n=1} \frac{(ln(n))^{3}}{n^{3}} The series (Bn) that we choose must represent the original series (An) and we recognize converges or diverges from Bn. (We dont know from the original). the problem is... How do I know that \frac{1}{n^3} is too small...
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    Comparison test

    1. Homework Statement Using the limit comparison test to determine convergence or divergence (1) \sum^{\infty}_{n=1} \frac{(ln(n))^{3}}{n^{3}} (2) \sum^{\infty}_{n=1} \frac{1}{\sqrt{n} ln(x)} (3)\sum^{\infty}_{n=1} \frac{(ln(n))^{2}}{n^{\frac{3}{2}}} 2. Homework...
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    Exponential integration

    ohhh I have to be more careful about this Thank you Pranav-Arora Thank you Sammy for the clarification
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