Recent content by reaiy
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Problem: Rotational Kinematics; Moment of Inertia
a) use kinematic equations you know that it falls a distance (H - L) so use the (v_final)^2 = (v_initial)^2 + 2*a*d where v_initial is 0 and a is acceleration which equals g (gravity), d distance (v_final) = sqrt(2*g*(H-L)) b) use the the eq L = I*(omega, which i will use as 'w') so w =...- reaiy
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- Forum: Introductory Physics Homework Help
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Confusing maclaurin series problem
They way they did it is using the maclaurin series expansion. basically, this coefficient is defined as [the nth derivative of f(0)] divided by [n factorial] your book should explain how this is derived, but basically it deals with taking the derivative many times so terms disappearHere is a...- reaiy
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- Forum: Calculus and Beyond Homework Help
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Power Series Estimation/Error Problem
so the power series representation of cos(x) is sum_(k=0 to infinity) (-1)^k *x^(2k)/(2k)! So the first few terms are cos(x) = 1-x^2/2!+x^4/4!-x^6/6!+x^8/x!-x^10/10! Now for cos(x^2), put x^2 in for every x cos(x^2) = 1-(x^2)^2/2!+(x^2)^4/4!-(x^2)^6/6!+(x^2)^8/x!-(x^2)^10/10...- reaiy
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- Forum: Calculus and Beyond Homework Help
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Integrals with trig substitutions =p
NVM I GET HOW TO DO I TNOW Homework Statement "The region bounded by the graphs of y = \frac{x}{\sqrt{x^2+25}} , y = 0, and x = 5 is revolved about the y-axis. Find the volume of the resulting solid."Homework Equations The only way i see to do this right now is to use shells, and the...- reaiy
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- Integrals Trig
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- Forum: Calculus and Beyond Homework Help