Recent content by Alcubierre

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    What is the speed of the ball when it leaves Sarah's hand?

    It is! I checked, thank you very much, Haye.
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    What is the speed of the ball when it leaves Sarah's hand?

    Okay this is what I did: We know that the horizontal speed remains constant, so x = v_{0,x}t v_{0,x} = \frac{x}{t} = \frac{40.377 m}{2.692 s} = 14.99 \frac{m}{s} Then for the vertical component, v^2_{y} = v^2_{0,y} - 2g \Delta y v_{0,y} = \sqrt{2gΔy} = 17.15 \frac{m}{s} So the speed is...
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    What is the speed of the ball when it leaves Sarah's hand?

    So would I use 45 degrees, disregard the angle altogether, or find the angle?
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    What is the speed of the ball when it leaves Sarah's hand?

    Homework Statement The question I am struggling with is the second version of a similar problem so to make it easier for me to receive assistance, I'll post both parts: Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an...
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    Schools College calculus self-study question

    I didn't find Spivak difficult, just Apostol was too different in the way he presents the material. But thank you very much, I will definitely look into Stewart.
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    Schools College calculus self-study question

    I can't edit because I'm on my phone but to add on to that, what would be a recommended cookie cutter book?
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    Schools College calculus self-study question

    To clear up your confusion, my intent was to study calc I and II with proof hence those textbooks, because I feel that the AP curriculum (advanced placement) isn't so strong when I look at some exploratory exercises from those textbooks about topics that I am familiar with.
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    Schools College calculus self-study question

    Hello, I am a recent high school graduate and I have recently finished calculus II with one year of calculus I prior (which I took junior year). My major will be physics at the University of Texas and having told that I completed those courses to my advisor he said I seemed bright from the...
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    Find the point(s) on the parabola x= y^2-8y+18 closest to (-2,4)

    Voko, what would the constraint equation be if you applied the method of Lagrange multipliers?
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    Position velocity equation free response

    (A) seems right to me. As for (B), what happens when you integrate velocity? For (C) it's asking for the limit of the velocity if t is boundless, so what does that mean? EDIT: Actually, now that I look at your solution for (A), you are forgetting a 't' in the numerator when you apply the...
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    Radius of convergence of power series

    Oh wow I completely disregarded the fact that it's centered at x = 2! Thank you very much
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    Radius of convergence of power series

    The coefficients of the power series \sum_{n=0}^{∞}a_{n}(x-2)^{n} satisfy a_{0} = 5 and a_{n} = (\frac{2n+1}{3n-1})a_{n-1} for all n ≥ 1 Sigh, it's been a long day.
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    Radius of convergence of power series

    My apologies. It should say, it satisfies a_{0} = 5 and a_{n} = \frac{2n+1}{3n-1} for all n ≥ 1 .
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    Volume of balloon - Derivative Question

    By methods, voko meant if you can use integrating factor, Laplace transform, etc, I believe. As for the dr/dt, have you tried separating the variables so you have the 'r' on one side and 't' on the other?
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    Radius of convergence of power series

    Homework Statement The coefficients of the power series \sum_{n=0}^{∞}a_{n}(x-2)^{n} satisfy a_{0} = 5 and a_{n} = (\frac{2n+1}{3n-1})a_{n-1} for all n ≥ 1 . The radius of convergence of the series is: (a) 0 (b) \frac{2}{3} (c) \frac{3}{2} (d) 2 (e) infinite Homework EquationsThe Attempt at...
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