7. If f(x) is a periodic function with period 1 and f(x)=sin(?x) for 0?x?1, sketch f(x) for ?2?x?2. Find the Fourier series of f(x). [Note. For a?=b, you may use the following integral formulae without proving them: ==??sin(ax)sin(bx)dx2a2?2b21?((a+b)sin((a?b)x)+(b?a)sin((a+b)x))+C,?sin(ax)cos(bx)dx?2a2?2b21?((a+b)cos((a?b)x)+(a?b)cos((a+b)x))+C.

Question

7. If f(x) is a periodic function with period 1 and f(x)=sin(?x) for 0?x?1, sketch f(x) for ?2?x?2. Find the Fourier series of f(x). [Note. For a?=b, you may use the following integral formulae without proving them: ==??sin(ax)sin(bx)dx2a2?2b21?((a+b)sin((a?b)x)+(b?a)sin((a+b)x))+C,?sin(ax)cos(bx)dx?2a2?2b21?((a+b)cos((a?b)x)+(a?b)cos((a+b)x))+C.]?

Accepted Answer

Expert Answer to -   7. If f(x) is a periodic function with period 1 and f(x)=sin(x) for 0x1, sketch f(x) for

Answer

Solution for -   7. If f(x) is a periodic function with period 1 and f(x)=sin(x) for 0x1, sketch f(x) for

Answer

This an additional answer to -   7. If f(x) is a periodic function with period 1 and f(x)=sin(x) for 0x1, sketch f(x) for

(Solved): 7. If f(x) is a periodic function with period 1 and f(x)=sin(x) for 0x1, sketch f(x) for ...

View Expert Answer

Expert Answer

Buy This Answer $5

Place Order

We Provide Services Across The Globe