1.5 Let Fm) = f: 1 t2 dt for m E [111]. '. -0.5 Which of the following statements are true? (2 marks) a. F(1)= 0. b. F(0) = g. C. If F(cc) = %, then cc : 1. CI. The substitution t : sin(x) shows that F(0) : f: cos2(:c) doc. 2 9. F(%) > 3?". Which of the following statements are true? (2 marks) a. F is continuous on [1,1] and differentiable on (1,1) with derivative F' (cc) : W. b. F is increasing on [1,1] since F'(a:) > 0 on (1,1). c. The graph of F is concave down on [1,1]. d. F has a local maximum at :1: = 0. e. F has a point of inection at cc = 0. Which of the following statements describes the \"area\" that F (0) represents geometrically? a. F(0) geometrically represents a point. b. F (O) geometrically represents the area of a quarter circle. c. F(0) geometrically represents the area of a half circle. d. F (0) geometrically represents a vertical line. e. None of the above