Consider the following integrals I Z e x e 2 x 3 dxII Z 1 1 e x 1 e x dxIII Z 1

# Consider the following integrals i z e x e 2 x 3 dxii

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7. Consider the following integrals:IZ0exe2x+ 3dxIIZ1-1ex-1exdxIIIZ10e4xe2x+ 1dxWhich of the integrals are improper? a. I onlyb. II onlyc. I and II onlyd. III onlye. I, II and IIIf. None of the above.
8. Consider the following sequences:Ian=cos 4n4nIIbn=4n32n+1IIIcn=(-2)nn2Which of the sequences converge?
9. Consider the following series:IXn=1cos2nn2+ 1IIXn=14n32n+1IIIXn=1n-1n4+n-1Which of the series converge?
10. A particle moves clockwise around the circle(x-1)2+y2= 9starting at the point(4,0).What parametric questions represent its motion?
2 Free Response For problems 11-15, show all work and justify each step to receive full credit. Draw a box around your answers. 11. (10 points) Evaluate the integrals: a.Zxlnx dx Your answer: