Recent content by gr3g1

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    Limit problem / l'hopital's rule

    Thank you so much!
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    Limit problem / l'hopital's rule

    I think I see where this is going. I'll keep taking the derivative and eventually end up with a constant over n. Correct?
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    Limit problem / l'hopital's rule

    Since the denominator becomes one, should I just continue taking the derivative of the numerator, until log disappears? Thanks
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    Limit problem / l'hopital's rule

    I just plugged in very large numbers and saw that it will approach zero. I guess I could have done that with the initial function as well.
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    Limit problem / l'hopital's rule

    The limit n->infinity I have to compute is:\frac{n\cdot \log ^{5}(n)}{n^{2}}Should I use L'hopital's rule? If I do, I have a problem: First I simplify and get: \frac{ \log ^{5}(n)}{n} Taking the derivative of the top, and the bottom leads to: \frac{\frac{ 5\log ^{4}(n)}{n}}{1} At this...
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    Asymptotic tight bound question

    anyone?
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    Asymptotic tight bound question

    Homework Statement Hi, I just have a basic question regarding an asymptotic tight bound question. The question is : TRUE / FALSE http://latex.codecogs.com/gif.latex?3^{n+1} \text{ belongs to } \Theta(3^{n}) By definition of big theta: c_{1}g(n) \leq f(n) \leq c_{2}g(n) \text { }...
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    Spherical coordinates, angle question

    Hey guys, Im trying to figure out how the angles for the following sphere are obtained. x^{2} + y^{2} + z^{2} = 4, y = x, y = \sqrt[]{3}x, z = 0 I understand that the integral is: \int_{0}^{\pi/2}\int_{\pi/4}^{?}\int_{0}^{2} However, I can't not see how the "?" interval is...
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    Problem determining p in triple integral

    The question states: Find the center of mass of the solid that is bounded by the hemisphere z = sqrt(21 - x ^2 - y^2) and the plane z = 0 if the density at a point P is directly proportional to the distance from the xy-plane. I know that the integral is setup : m =...
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    Simple line integral problem I cant seem to get

    Ahhh, thanks so much!
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    Simple line integral problem I cant seem to get

    I have to evaluate the line integral : \oint_{}^{} (2x + y)dx + xydy between (-1,2) and (2,5) on the curve: y = x + 3 So, what I did was: \int_{-1}^{2} (3x+3)dx + \int_{2}^{5} (x^{2} + 3x)dx However, this is wrong and I am not sure why! Can someone please guide me? Thanks a lot!
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    Polar Coordinates volume question

    http://containsno.info/mq.JPG The problem says evaluate the double integral (x + y)dA over the dark region shown in the Figure: I set up the integrals like this: \int_{0}^{\pi /2}\int_{2sin\o }^{2} (rcos\o + rsin\o)rdrd\o Is this correct? Thanks a lot everyone
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    Prove Independence of Path for F(x,y) Integral

    Wait, the examples include functions such as y = x + 1. this would dy/dx as 1... I think I got it now!
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    Prove Independence of Path for F(x,y) Integral

    Thanks a lot! Just one last question, is this the procedure I must apply to all questions of similar nature? Why is my book just simply replacing y?
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    Prove Independence of Path for F(x,y) Integral

    Your right! I i just edited my post on top.. Thanks a lot! Whats with the 2xdx?