Recent content by payumooli

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    Why does the universe have to have a beginning?

    When we look at the Cosmic Microwave background or CMB radiation. We see a uniform pattern. From this we deduced that there was a period when the universe was hot and dense. When we see the distant galaxies we see that they are moving away from us according to hubbles law. We can use either...
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    What is the acceleration of the elevator?

    0.76 is the ratio of the persons weight in the accelerating elevator to his normal weight m(g-a) / mg
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    Integrating Vector Fields: Volume vs. Surface

    A is the vector field and dS is the closed surface on which you want to see the flux x is a multiplication symbol
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    Fourier transform and convolution, dirac function

    oops i don't get that 1/4 either, may be it is some typo in that sheet
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    Amplitude of harmonic oscillator

    is your steady state solution correct? it gets crazy if i reduce it to some trig identity and what is f(w) equal to?
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    Steam vs Water Heat: Which is More Dangerous?

    have heard of the term latent heat?
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    Amplitude of harmonic oscillator

    use trig identity and reduce the equation to sin(A-B), amplitude is the factor by which the stated term is raised
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    Fourier transform and convolution, dirac function

    i really don't understand the basis of this problem but from what you have posted if E2.9 to E2.12 is the way it is then E2.13 should be right did you do the convolution of 2.10 with 2.11?
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    Equipotential Lines in a Uniform Electric Field: Force & Distance

    let me put it this way potential lines are lines joining the points whose magnitude of the electric field is same. electric field lines in essence tell us the path a positve test charge will take when placed on an electric field. equipotential lines and field lines are always orthogonal to...
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    Equipotential Lines in a Uniform Electric Field: Force & Distance

    equipotential line is a locus of points with same potential see the electric potential equation all varaibles are fixed except the point at which you are measuring the potential. the force on a charged particle is given by lorentz equation. here force vector and electric field vector are in...
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    Solving the Differential Equation: y' = y^4 - 6y^3 + 5y^2

    solve the polynomial in the above post to get the constant solutions
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    Solving the Differential Equation: y' = y^4 - 6y^3 + 5y^2

    y = constant \frac{dy}{dx} = 0 y⁴ - 6y³ + 5y² = 0
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    Differential Equations: word problem

    what i wanted to convey is these solutions have a steady state and transient state. the transient state should tend to zero when time approaches infinty.(for this cooling problem) x(t) = 230*e^(kt) +70, k<0 should be the solution if you have right idea about this problem
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    Area of a Small Loop of a Lemniscate

    find the maxima and minima of the curve in the range 0 to 2pi the minima will tell you about the small loop, find the value of theta for which f(theta) = 0 preceding and succeding the minima those are your limits
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