Q#2 a.What is eccentricity and what it reveals about the conic sections. What are the standard equations for lines and conic sections in polar coordinates? Give examples. (10)b.Explain the "focus-directrix equation PF=e.PD . Where PF is the distance of a point P from a fixed point F (the focus) and D is the point nearest to P on the directrix. (10)Q#3 a.Differentiate between absolute convergence and conditional convergence of the series, give one example for each case. When does it is appropriate to apply ratio test for absolute convergence on infinite series, justifyyour answer by giving at least two examples. (10)b. what is difference between positive term series and power series? How to test a power series forconvergence, why does a power series always have radius of convergence and interval of convergence?

Q#2 a. What is eccentricity and what it reveals about the conic sections. What are the standard equations for lines and conic sections in polar coordinates? Give examples (10) b. Explain the "focus-directrix equation PF = e. PD. Where PF is the distance of a point P from a fixed point F (the focus) and D is the point nearest to P on the directrix. (10) Q)#3 a. Differentiate between absolute convergence and conditional convergence of the series, give one example for each case. When does it is appropriate to apply ratio test for absolute convergence on infinite series, justify your answer by giving at least two examples. (10) b. what is difference between positive term series and power series? How to test a power series for convergence, why does a power series always have radius of convergence and interval of convergence