Recent content by smart_worker

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    Power/Energy Signal Homework: u[n] - u[n-4]

    I think u[n] - u[n-4] = 1 for n=0,1,2,3 and 0 elsewhere. So, Ex becomes 4. So, it's an Energy Signal. Am I right?
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    Power/Energy Signal Homework: u[n] - u[n-4]

    Homework Statement Determine whether u[n] - u[n-4] is a power or energy signal. Homework Equations The Attempt at a Solution I am stuck here. I don't know how to simply further. Please help.
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    Which Frequency Response Graph Correctly Represents a Band Reject Filter?

    Homework Statement Homework Equations The Attempt at a Solution [/B] Which is the correct frequency response graph for this question? The first graph or the second one?
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    Doubt in Partial derivative of complex variables

    I guess, I'll have to use Wirtinger derivatives.
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    Doubt in Partial derivative of complex variables

    x = (z + z¯)/2 and y = (z - z¯)/2i How do I solve this further? EDIT:Sorry, I don't know how to write the latex code to represent the "Bar" above "z"
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    Doubt in Partial derivative of complex variables

    Today, I had a class on Complex analysis and my professor wrote this on the board : The Laplacian satisfies this equation : where, So, how did he arrive at that equation?
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    General solution of second order ODE

    Homework Statement Find the general solution. Homework Equations y"+y=x2sin2x The Attempt at a Solution Characteristic equation would be: m2 + 1 = 0 So,m2 = -1 Therefore, m = i or m = -i. Complementary function would be : Asinx+Bcosx where,A and B are constants respectively. If I write...
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    Derivation of Sabine's formula for reverberation time

    https://courses.physics.illinois.edu/phys406/Lecture_Notes/P406POM_Lecture_Notes/Derivation_of_the_Sabine_Equation.pdf I can't understand anything from the above link. Is there any alternative way to derive Sabine's formula. I searched in google but coundn't find anything.
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    Multi-variable Calculus : Partial differentiation

    Homework Statement 2. The attempt at a solution By chain rule, which simpifies to, After this I am struck.
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    Convergence and divergence of a series

    B]1. Homework Statement [/B] Find whether the series is convergent or divergent Homework Equations The Attempt at a Solution By ratio test I have, I would apply L'Hôpital's rule to find the value of limit but before that how do i simplify the expression? It has fractional part both in the...
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    Finding the General Term of a Series

    Homework Statement Find the general term and test the nature of the series: Homework Equations 1+1*4+1*4*7+... The Attempt at a Solution Term N = Term (N-1) * 3N-2 Hence,3(N-1)-2 * 3N-2 which simplifies to (3N-5)(3N-1) = 9N^2 - 18N + 5 Is this correct?
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    How to Solve Problems in Arithmetic Series Using Formulas?

    Sn=n/2 (A1+An) this can also be written as Sn=n/2 (A1+(A1+ (n-1)d)) which then further simplifies to: Sn=n/2 (2A1+ (n-1)d) now plug in the known values and simplify for your first question, the value of n=10 for your second question, n=12,d=3,A1=2
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    Finding the general term of the series

    yeah... i can write the nth term and i found that the series is convergent. But this series: 1/4 + (1)(5)/(4)(8) + (1)(5)(9)/(4)(8)(12) + ... The general term for the denominator is 4^n (n!) but the numerator terms are tricky : 1*5*9 ==> 1*2*3*4*5*6*7*8*9/2*3*4*6*7*8 ==>9!/2*3*4*6*7*8 how...
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    Finding the general term of the series

    The new format of this website is difficult for me.
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