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    Rate of decrease of the magnetic fields

    Let V_B be the rate of decrease of the magnetic fields \frac{dB}{dt} For the 3rd path: \oint E\cdot ds = -\frac{d\phi _B}{dt} = -\frac{{d\phi _B}_1 + {d\phi _B}_2}{dt} \phi _B_{(t)} = A_{(t)}B_{(t)} The area is constant, it's only the magnetic field that's changing: \phi _B_{(t)} =...
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    Partial fractions QUICK question, zero work required, just knowledge of how they work

    Alright... What are the rules for when the numerator (Top part) of the fraction has a higher degree than the lower part of the fraction. Something + {*} ... As in what is that SOMETHING based on the numbers? I have a midterm in like... 50 minutes and this is the only thing I need to know.
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    Freshman Calculus [Easy, yet long]

    Homework Statement http://i.imgur.com/ks0WZ.png Homework Equations A lot of them. The Attempt at a Solution I've got all the right answers up until part four, where you have to solve for C. -5000 is incorrect. I need help setting up to solve C! Please ^_^.
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    Surface Area of a Solid of Revolution

    Gawd... That was a f--king ordeal... Thanks though lol.
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    Surface Area of a Solid of Revolution

    integral xsin^2(5x) + integral x Integral x/2 + Integral xcos(10x)/2 + integral x right?
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    Surface Area of a Solid of Revolution

    Yeah see, we were never taught what the heck perfect squares are in high school... Basically we were told to use the quadratic equation for everything. We never even learned cubes...
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    Surface Area of a Solid of Revolution

    Here's the integral: 2*pi*y*sqrt(1+(sin(5x)*sqrt(3-cos(5x)^2))^2) I just don't see an EASY method to evaluate it... All of the method's I've tried end up in just a more and more complicated integral...
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    Surface Area of a Solid of Revolution

    I can never see the algebra that they try to make "Clever". It annoys the hell out of me that they need to make it "Clever" instead of letting us do it the sec^3(x) method... That's easy as hell in comparison to this complex algebra that I never learned because my high school teachers couldn't...
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    Surface Area of a Solid of Revolution

    Homework Statement Homework Equations integral [a, b] 2*pi*x*sqrt(1 + (dy/dx)^2) The Attempt at a Solution Well I know how to do surface area questions... But that the @#$@ is with this random equation? How would I even start to evaluate it... Like honestly... I don't even understand the...
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    Surface Area of y = e^5x revolved around the x-axis from 0 to ln(4)

    I am, but I'm in a class that doesn't use them yet lol.
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    Surface Area of y = e^5x revolved around the x-axis from 0 to ln(4)

    Right... My mistake, but I'm also having trouble with integration, and that isn't my strong suit, how would I integrate that?
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    Surface Area of y = e^5x revolved around the x-axis from 0 to ln(4)

    Homework Statement http://i47.tinypic.com/1z6naa.jpg Note... I used wolfram alpha to get the answer, I did not get it myself... So I still need help. The answer shown is correct, so you'll know if you got it. Homework Equations Integral [0, ln(4)] sqrt(1+(dy/dx)^2) The Attempt at...
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    How do I find the solution to this derivative problem?

    Hint #2: Chain rule: f(g(x)) = f'(g(x))g'(x) In this case... f(g(x)) = g(x)^-2 Soooo....
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    Arc Length of e^5x from 0 to ln(4)

    Homework Statement http://i47.tinypic.com/1z6naa.jpg Note... I used wolfram alpha to get the answer, I did not get it myself... So I still need help. The answer shown is correct, so you'll know if you got it. Homework Equations Integral [0, ln(4)] sqrt(1+(dy/dx)^2) The Attempt at a...
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    Good lord am I confused

    I don't even know how to do that :\ I kinda just need a similar problem solved so I can make a method out of how they did it... I need to figure out how to change free body diagrams into an equation. You miss one day of class and you get f-cked.
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    Good lord am I confused

    Homework Statement Homework Equations F = Ma The Attempt at a Solution ... I wish I even knew where to start :\ I drew the freebody diagram, but I don't know how to use it.
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