CHAPTER 10REVIEW70910Review1.(a)What is a parametric curve?(b) How do you sketch a parametric curve?2.(a)How do you find the slope of a tangent to a parametriccurve?(b) How do you find the area under a parametric curve?3.Write an expression for each of the following:(a)The length of a parametric curve(b) The area of the surface obtained by rotating a parametriccurve about the 4.(a)Use a diagram to explain the meaning of the polar coordi-nates of a point.(b) Write equations that express the Cartesian coordinates of a point in terms of the polar coordinates.(c)What equations would you use to find the polar coordinatesof a point if you knew the Cartesian coordinates?5.(a)How do you find the slope of a tangent line to a polarcurve?(b) How do you find the area of a region bounded by a polarcurve?(c)How do you find the length of a polar curve?x-axisr, x, y6.(a)Give a geometric definition of a parabola.(b) Write an equation of a parabola with focus and direc-trix . What if the focus is and the directrix is ?7.(a)Give a definition of an ellipse in terms of foci.(b) Write an equation for the ellipse with foci and vertices .8.(a)Give a definition of a hyperbola in terms of foci.(b) Write an equation for the hyperbola with foci andvertices .(c)Write equations for the asymptotes of the hyperbola inpart (b).9.(a)What is the eccentricity of a conic section?(b) What can you say about the eccentricity if the conic sectionis an ellipse? A hyperbola? A parabola?