Recent content by cutecarebear

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    Integrating a strange square root function

    Homework Statement Calculate the area under the curve for the following: f(x) = √x*√(−32 − x) and g(x) = √(−x2 − 32x) Homework Equations The Attempt at a Solution I've been trying to do partial integration since the functions f(x)=g(x)area are mirrored, so they are equal...
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    Using Argument and DeMoivre's theory

    I finally got it! Thanks so much!
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    Using Argument and DeMoivre's theory

    Hey, thanks so much for your reply! Using what you told me, I've managed to get to the next question, but I get stuck here. I'm not sure what I am doing wrong. Here's where I am so far: z6=1+i z=r1/6(cosΘ+isinΘ)1/6 z=6√2(cos(Θ/6)+isin(Θ/6)) z=6√2(cos(π/12)+isin(π/12)) and so...
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    Using Argument and DeMoivre's theory

    Hello everyone, I'm having a bit of trouble with using the argument function with DeMoivres formula. I have the question: z8= 16 and am meant to find the solution using DeMoivre's formula (zn=rn(cosn(Θ) +isinn(Θ)) ). The problem is, I have no idea what an argument function is or how to find...