Recent content by tub08918

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    Is there an error in my coordinate system transformation and vector matching?

    So I spent yesterday emulating a video on khan academy to my data: C=[a' b' c'] where a=[1\3.5,1/3.5,1/3.5] b=[1/2.5,0,2/6.5] c=[-1/6.5, 2/6.5,-1/6.5] D=[a' b' c'] where a'=[1 0 0] b =[0 1 0] c=[0 0 1] So I find the transformation matrix as T=CDC-1 which just gives me an identity vector. Is...
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    Calculate divergence of <y^2,z^2,x^2> in cylindrical coords

    Ah Ok well thank you for your time!
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    Calculate divergence of <y^2,z^2,x^2> in cylindrical coords

    Ohhhhhh you have t change the variables inside r so that they are also in cyl coordinates than you so much! Is there an upvote button on this site?
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    Is there an error in my coordinate system transformation and vector matching?

    Hi DEvens vector <1/√3,1/√3,1√3> and <1/√2,0,-1/√2> have a dot product equal to zero, and the vector <-881/2158,881/1079,-881/2158> was the result of crossing a and b sso te should be all orthogonal to one another but I could be wrong. Your three formulas are very interesting but I am confused...
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    Is there an error in my coordinate system transformation and vector matching?

    So I am going through the exam guide for my exam tomorrow and there is a second problem that stump me. We transform the cartesian axis to <1/√3,1/√3,1√3> and <1/√2,0,-1/√2> which are orthogonal and we find the third axis by taking the cross product which gives <-881/2158,881/1079,-881/2158>...
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    Calculate divergence of <y^2,z^2,x^2> in cylindrical coords

    Hi everyone My professor just asked us a question that I can't get my head around. So we have the original vector in Cartesian format, <y^2,z^2,x^2> Then I am asked to convert to cylindrical coordinates: z= z; θ==arctan(z^2/y^2); r = \sqrt(y^4+z^4) However , I am then asked to take the...
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    Calculate integral sin(x)/x^0.1dx from pi to infinity

    That's literally the first thing I did was to plug it into wolfram alpha! THats how I knew this wasn't going to be a picnic. The professor says that there is something in calc 3 I would've learned that makes solving this possible but I have no idea what (the professor is Russian btw) and he...
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    Calculate integral sin(x)/x^0.1dx from pi to infinity

    Homework Statement So I have a problem with the integral ∫ sin(x)/x^0.1dx from pi to infinity My teacher said this wouldn't require any maths beyond calc 3, but for some reason I cannot come up with a solution. Homework EquationsThe Attempt at a Solution I have attempted a maclaurin series...
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