Recent content by whattheheckV

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    Find the limit of the given sequence

    lim (1+n^2)^(e/eln(n)) n→∞ lim (1+n^2)^e n→∞
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    Find the limit of the given sequence

    Homework Statement Find the limit of the given sequence as n →∞ Homework Equations (1+n^2)^(1/ln(n)) The Attempt at a Solution Wolfram said the answer was e^2, though i cannot figure out why. Any help would be greatly appreciated.
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    Integrating in Polar Coordinates: Ω Region

    Ok so using the conversion I found the bounds of r from (1/2)sec(θ) to 1 Thanks for the input
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    Integrating in Polar Coordinates: Ω Region

    As in x=rcos (θ) and y=rsin (θ) ?
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    Integrating in Polar Coordinates: Ω Region

    I have drawn the picture and it is very straightforward. The problem I am having is that the radius is not constant so i need to get r in terms of theta...
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    Integrating in Polar Coordinates: Ω Region

    Homework Statement ∫∫dydx Where the region Ω: 1/2≤x≤1 0 ≤ y ≤ sqrt(1-x^2) Homework EquationsThe Attempt at a Solution The question asked to solve the integral using polar coordinates. The problem I have is getting r in terms of θ. I solved the integral in rectangular ordinates using a trig...
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    How Does Depth Affect the Buoyant Force on a Submerged Beach Ball?

    A beach ball is made of thin plastic. It has been inflated with air, but the plastic is not stretched. By swimming with fins on, you manage to take the ball from the surface of a pool to the bottom. Once the ball is completely submerged, what happens to the buoyant force exerted on the beach...