Math Unit 2

Name: Carla Strombitski| Date:| place Assignment Unit Test, Part 2: Conic Sections root the questions below. When you are finished, submit this assignment to your instructor by the due get a line for panoptic credit. (10 points) sexual conquest|  | 1.       The equation of an oval is assumption by . a. Identify the coordinates of the focus of the ellipse. b. proceed off the length of the major and minuscule axes. c. take chances the coordinates of the foci. d. Graph the ellipse. pass judgment the content and foci. come: a) wedded par of ellipse. On analyse this equation with timeworn equation of ellipse with centre (h,k) which is abandoned by x-h2a2+y-k2b2=1 , we have , h = 3 and k = -5. Therefore, coordinates of centre of ellipse = (3, -5). b) Given equation of ellipse. On equivalence this equation with measuring rod equation of ellipse with major bloc 2a and minor axis vertebra 2b which is precondition by x-h2a2+y-k2b2=1 , we have, a2=64=>a=8 And b2= hundred=>b=10 Therefore, length of major axis = 2a = 2*8 = 16. And length of minor axis = 2b = 2*10 = 20. c) From give a) and b), we have a = 8 and b = 10 and h=3,k=-5 So, c2=b2-a2=102-82=100-64=36 =>c=sqrt36= 6. In this precondition equation b>a So, this is a vertical ellipse. Therefore, coordinates of foci = (3, -5+6) and (3, -5-6) Foci are (3,1) and (3, -11).

d) This is the graph of devoted ellipse with foci and centralize.   (12 points) Score|  | 2.       The equation of a hyperbola is given by . a. Identify the coordinates of the center of the hyperbola. b. Find the length of the transverse and coupled axes. c. Find the slopes of the asymptotes. d. Find the coordinates of the foci. e. Graph the hyperbola. Label the center, midpoints of the associated rectangle, and foci. Answer:   a) Given equation of hyperbola On comparing this equation with regular equation of hyperbola with centre (h,k) which is given by y-k2b2-x-h2a2=1 , we have, h=6 and k=0 Therefore, coordinates of center of...If you want to get a full essay, order it on our website: Orderessay

If you want to get a full information about our service, visit our page: How it works.