1.) Points (1,4) and (-7,8) are endpoints of the diameter of a circle. a) What is the exact length of the diameter? SIMPLIFY b) What is the center of the circle? c) What is the equation of the circle? 2.) Let f ( x )=5 x 26g ( x )= x4 a) Find the composite function ( f o g )( x ) and simplify b) Find ( f o g )(1 ) 3.) A projectile is launched from a platform 10 feet high with an initial velocity of 56 feet per second, The height h of the projectile at t seconds after launch is given by h=16 t 2+ 56 t+10 feet a) How many seconds after launch does the projectile attain maximum height? b) What is the maximum height? 4.) An ellipse has the equation ( x3 )2 ( y+ 6 )2 + =1 9 36 a) Is the major axis horizontal or Vertical? b) Find the exact values of the foci of the ellipse 5.) Let u = 5,10 and v = 16, 8 a) Calculate the dot product u . v b) Determine the angle between uv . Round to the nearest degree. (I don't know how to correctly do this u without the fraction bar so please disregard the line in-between the arrow and letter.)