Problem 94. Show that the area of the ellipse given by the equation y = 1 is equal to rab. Problem 95. Recall that the foci of the ellipse given by the equation =1 (a >b > 0) are the two points (-c, 0) and (0, c), where c2 = al - b2. Let (-c, y), with y > 0, be on that ellipse. Show that y = Problem 96. Recall that we derived the equation for the ellipse from the previous problem in polr coordinates where the center of the coordinates is in (-c, 0). The equation is r(0) = C + D cos(0) Where C > D > 0 are constants. Show that Problem 97. Show that in terms of the previous problems, the area of the ellipse is A = Ca Problem 98. Derive Kepler's formula for the length T of the year of a plane orbiting around the sun T = Kal, where K is a constant. Problem 99. A projectile is fired from the origin (0, 0,0) with velocity v = (1, 1, 1). What time and where is it going to hit the sphere (x - 5)2 + (y - 4)2 + (2-6)2= 2