Please click to view the question!! Instead of using dy/dx please use y' or y". Thanks!

3. A player P stands 10 metres directly in front of a soccer goal OABC, as shown below. The corners of the soccer goal are located at 0(0,0,0), A(0,0, 2.5), B(7.5,0,2.5) and C(7.5,0, 0). The goalkeeper stands at point G, which is the midpoint of the line segment 00. All mea- surements are in metres. (a) Determine the coordinates of points G and P. > > (b) Determine PA and PC. Which point A or C is closer to P? Justify your answer. (c) The player P kicks the ball and it is stopped by the goalkeeper at a point 3 which is 9 metres along the line segment from P to A. Determine the coordinates of point .3 . 1. Let a = 2i + 4j + 4k and b = 7i + 4j + 4k. Determine the scalar component of a in the b direction. 2. The equation of a curve C is given by 9'4 + '92 = 62:. (a) Using implicit dierentiation, nd the slope of the curve at the point PG, 1). (b) Determine y\" at P. (0) Sketch the curve C in the neigh- bourhood of P. (Hint: Use the values of y' and 9" obtained in parts (a) and (b) above.)