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- show that the fourier series of the function ?(?) = |?| ?? [−?, ?] is :Use generating functions to solve an 2an 1+1 for n ≥ 1 where ao = 0. [At most 1 point if you don't use generating func- tions.] =+00 +00 Let Jo(x) = >(-1)" and J1(x) = >(-1)"- 2n+1 n=0 n!n!22n n=0 n!(n +1)!22n+1 The functions Jo and J1 are called Bessel functions of the first kind of orders zero and one, respectively, and both converge for all real values of x. Show that Jo'(x) =-J1(x).
- I know you guys only solve one question at a time but plz plz solve both for me... may you have every happiness ... plz use the fundamental theorem of calculus, properties of indefinite and definite integrals and substitution... plz don’t use Riemann sums...n+1 (3) Construct a function f(x) such that for any integer n e Z, the integral f(x)dr is improper and convergent.Show COMPLETE solutions. Box the FINAL answer.
- Q3:- a. Etermine the half range Fourier cosine series in the range x=0 to x= for the following function: 8 x₂ 0The real form of the Fourier sine series for the following function: (-1), - TRecommended textbooks for youCalculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage Learning
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