Question

The value of ao in Fourier series of y with period 180° for the following tabulated data is
0
30
60
90
120
150
у
0
9.2
14.4 17.8 17.3 11.7​

Answer 1

Answer:

180

Step-by-step explanation:

Because all angles is equal to 180 degrees

Answer 2

Answer:

For the following tabular data, the value of ao in the Fourier series of y with period $180^{0}$ is 0.

Explanation:

Step : 1 Odd times even functions are always odd because $b_{n}$ contains the odd function sin(nx) term. Therefore, zero is the outcome of the integral.

Step : 2 Fourier series often converge slowly. The following Dirichlet requirements must be met for a function f (x) to be expanded correctly: A piecewise function f (x) must be periodic and have a finite maximum of discontinuities, minima, or peaks inside a period.

Step : 3 A Fourier series is a collection of sinusoidal functions with harmonic relationships, commonly referred to as components or harmonics. A periodic function is the end result of the summing, and its functional form depends on the choices made for the cycle length (or period), the quantity of components, and the amplitudes and phase parameters of those components. One cycle (or period) of the summing may be used to approximate any function in that range by making the right decisions (or the entire function if it too is periodic). The remaining parameters can be set so that the series converges to virtually any well-behaved periodic function if the number of components is theoretically limitless (see Pathological and Dirichlet–Jordan test). The methods of analysis mentioned in this article are used to identify the parts of a given function. Sometimes the parts are known initially, and a Fourier series is used to create the unknown function. A discrete-time Fourier transform fits this scenario.

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