Recent content by arishorts

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    Earnshaw's Theorem and electrostatics

    I like your analogy, a lot actually. But how can i prove that using Gauss' theorem leads to a contradiction?
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    Earnshaw's Theorem and electrostatics

    Homework Statement 14: a: It is impossible to have a stable equilibrium in electrostatics. This idea is known as Earnshaw’s Theorem. Let’s prove this fact. Assume that at a particular point P that a charge Q is in a stable equilibrium. Think about the direction of E⃗ necessary for the...
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    Simpson's Rule to find the volume of f(x) rotated about the x and y axis.

    we're not given f(x) though. We're only given the values of f(x)
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    Simpson's Rule to find the volume of f(x) rotated about the x and y axis.

    Homework Statement Answers in the back of the book about x-axis= 190 about y-axis= 828Homework Equations Simpson's Rule: (dx/3)* sum of(sequence of coefficients {1,4,2...2,4,1}*sequence of function values{f(0), f(1), f(2)...f(n-2),f(n-1), f(n)}) Volume using Shells: 2π ∫ (radius)(height) dx...
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    Integrating 1/(x^3-1) Using Partial Fractions - ∫1/(x^3-1)

    Just got it. Thanks.
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    Integrating 1/(x^3-1) Using Partial Fractions - ∫1/(x^3-1)

    Got it! Thanks guys... Give you guys +rep if i could, but there doesn't seem to be that system here.
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    Integrating 1/(x^3-1) Using Partial Fractions - ∫1/(x^3-1)

    it was edited. the 1/2 wasn't there before or i didn't see it. i see it now. Let me try this.
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    Integrating 1/(x^3-1) Using Partial Fractions - ∫1/(x^3-1)

    not trying to be an ***... a=1, b=2, c=3, d=4 3/7 ≠ 3/3 + 3/4
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    Integrating 1/(x^3-1) Using Partial Fractions - ∫1/(x^3-1)

    You seem to have a very strong algebraic manipulation background, where as i don't. Been trying to work on it lately. I'm trying all methods mentioned here (trying to make sense of it all).
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    Integrating 1/(x^3-1) Using Partial Fractions - ∫1/(x^3-1)

    how can you do that to the numerator, but not the denominator?
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    Integrating 1/(x^3-1) Using Partial Fractions - ∫1/(x^3-1)

    I'm trying this right now, don't see why it shouldn't work. Is there not a simpler way?Edit: This is what I'm doing right now: -(1/3)∫ (x+2) / ((3/4)-(x+(1/2))^2) Then i'd trig sub...
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    Integrating 1/(x^3-1) Using Partial Fractions - ∫1/(x^3-1)

    You already know this... but i get du=2x+1 dx, but the numerator is x+2. is there a transition I'm missing?
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    Integrating 1/(x^3-1) Using Partial Fractions - ∫1/(x^3-1)

    Homework Statement ∫1/(x^3-1) Homework Equations A/(x-1) + (Bx+C)/(x^2+x+1) 1=A(x^2+x+1) + (Bx+C)(x-1) The Attempt at a Solution I've solved for all the variables in this... A= 1/3 B= -1/3 C= -2/3 which gets me: 1/3*Ln|x-1| + ∫(-(x/3)-(2/3))/(x^2+x+1) I can't figure out...
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    Kind of ambiguous question not entirely sure what she's asking (Calc 2).)

    think i figured out the answer. please correct me if I'm wrong. I started by constructing the cross-sections by splitting an isosceles triangle down the middle, giving me two more isosceles triangles. More importantly, it allowed me to calculated the formulas for the height and base of the...
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    Kind of ambiguous question not entirely sure what she's asking (Calc 2).)

    Homework Statement "The base of a solid is the region enclosed by y=4-x^2 and the x-axis. Find the volume of the solid if cross-sections perpendicular to the y-axis are isosceles right triangles with hypotenuse in the base" I think she forgot to add to rotate the equation around the y-axis...
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