5.4 (a) Compute the Fourier series for the function x2 on the interval 0 < x < L, using as a basis the functions with boundary conditions u'(0) = 0 and u'(L) = 0.
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- a Find the Fourier transform of the signal *(7) = 2 cos(m)[u(1+3)−u(1-3)], using the Fourier integral.Consider the function f(x)=3−x² defined in (0,1] Find its Fourier series of sines of period 2.5) If f(x)= x?; f (x +4)=f (x) b. The coefficient n in this Fourier series is : 2 (-1)". (na) (-1)** . (na) (-1)- cos d) 2 a) b) 0 c)
- By using Fourier series a.= an= bn= Then the Fourier series of f(x)=5. If f(t)= +1, -< t < 0 -1, 0If f(x) = (n - x)2, find the Fourier series of period 2n in the interval (0,27) and hence evaluate+ %3D 122. Show that the Fourier series function defined by f(x) below is an even function. Hence determine the Fourier series for the function: f(t)= 1-1, 1+1, when - <1 <0 when 0 <1Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,