Recent content by Sennap

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    Newtons Second Law: Finding net forces

    How much force did the ship exert on the pilot before the ship took off? When the ship takes off from the ground, does the ship exert more force on the pilot or less?
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    Quantum Physics: Fourier transform of a function

    Homework Statement Let \phi (k) be the Fourier transform of the function \psi (x). Determine the Fourier transform of e^{iax} \psi (x) and discuss the physical interpretation of this result.Homework Equations (1) \tilde{f} (k) = \frac{1}{\sqrt{2 \pi}} \int{f (x) e^{-ikx} dx} (2) \psi...
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    Differential of the exp function prove

    Yes, sorry about that. It's fixed now. - Sennap
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    Differential of the exp function prove

    Homework Statement Let f: R->R be a function which satisfies the condition: f(x+y) = f(x) \cdot f(y) \forall x,y \in R a) Show that if f is everywhere differential it satisfies the equation: f'(x) = f'(0) \cdot f(x) Conclude that either f is the zero function or there exists a number c so...
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    Find how fast the radius of a circle get smaller as its area gets smaller

    Thank you for a quick reply! dr/dt = 1/(2*pi*r) dA/dt and dA/dt = -2*pi so dr/dt = -1/r And like I showed before r = sqrt(75) so the final answer is indeed: dr/dt = -1/sqrt(75)**SOLVED** Thank you again. I understand your solution a lot better than my teacher's.
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    Find how fast the radius of a circle get smaller as its area gets smaller

    Homework Statement (Translated, sorry my English) Find how fast does the radius of a circle get smaller when its area is 75*pi cm^2 and it (the area) gets smaller at a rate of 2*pi cm^2/s? Homework Equations Not really any given equations, but I used these: A = r^2 * pi s = v*t + s0 (If v is a...