1, Find the Hermite interpolation polynomial for f(x) with f(1)=2. f(2)=3. and f'('l)=0, f'(2)=-'l. Be sure to show your work. 2, Verify that the...

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1, Find the Hermite interpolation polynomial for f(x) with f(1)=2. f(2)=3. and f'(‘l)=0, f'(2)=-‘l. Be sure to show your work. 2, Verify that the integral of the following functions are zero on the interval from 0 to 2‘“\pi, (a) sin(kx)cos(jx) and any k and j; (b) sin(kx)sin(ix) for] notequal to k. How about the integral of sin(kx)sin(kx) from 0 to 2"\pi. Review some trigonometric formula if necessary.