The function g(x) = { 1 for -1 for 1< x<0 0 . am Pm (x) m=0 where for m + n, 1 | Pm(x)P(x) dx = 2 for m = n. 2m + 1 Find the first two non-zero am of the series.

Q: Q2. (a) Write down the function corresponding to the graph given below. Is the function even or odd…

A: 2(a) write down the function corresponding to the graph given below. is the function even or odd or…

Q: #12 a,b

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Q: 5. Determine the half range Fourier cosine series for -{- f(x)= 7-X

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A:

Q: x) = cos in the interval of (-T, 7) %3D

A:

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A: Solution is given below:

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A: We have to find the power series for the function f (x) = x²/(1 + x³)

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A:

Q: A SOLVE S PERIODS OF THE FOURIER SERIES B Solve 6 PERIODS OF THE POURIER SERIES si 0sz< si <z<} 2-3r…

A: The piecewise function given is as follows: fx=     20≤x&lt;1312-3x13&lt;x&lt;2323&lt;x&lt;2 We are…

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A: Taylor serues

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Q: { Expand the function f(x) = = if 0<x<3 6-x, if 3 < x < 6 x, in a half-range (a) sine series; and…

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Q: Q2/Find the Fourier series for the following periodic functions. --n/2<x<n/2 1) Sx) Ans. cos(x) -…

A:

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A: Given :-  The given Fourier series : fx = 0           ,    -π&lt;x&lt;0x           ,       0…

Q: (a) Find the Fourier series of the function (x) = 1 – |x|, -2 < x< 2 (b) Hence prove that 1+

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A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.