Dl: 1pm, May 16, 2022 Sub: Calculus with Analytic Geometry College level: 2nd year General Direction: Show your solution in every question indicated below.

Score: General Direction: Show your solution in every question indicated below. 1) Calculate the co-ordinates of the point P which divides the line joining A (-3,3) and B(2,-7) in the ratio 2:3( 15 points) 2) Find the x and y intercepts, the vertex and the axis of symmetry of the given equation y = - x2+ 2 x + 3? (15 points) 3). Write the slope-intercept form of the equation of the line through the given points using point-slope form. Through: (3, -3) and (0, -5) (15 points) 4).Calculate the shortest distance between the point A (6,5) and the line y=2x+3 ( 10 points) 5) Given the conic section is 9x2 + 4y = 36 (10 points) Find the x and y intercept, foci , major and minor axis and sketch the graph of the equation