I need help with the questions in the picture, let me know if there is any question :). Thank you.

[4 marks] 4. Let f(x) = x cosx (a) Sketch the graph of y = f(x) for 05x52 making clear the approximate positions of the positive x-intercept, and the end points. ii) Write down the coordinates of the positive x-intercept and the endpoints (6 marks) (b) Find the exact value of the positive x-intercept for OSx$2. (2 marks) Let R be the region in the first quadrant enclosed by the graph and the x-axis. (c) i) Shade R on your diagram ii) Write down the integral which represents the area of R. (3 marks) (d) Evaluate the area of R to four significant figures (2 marks) 5. The function f is given by /(x) = (sinx) cosx. The following diagram shows part of the graph of y = f(x) . (a) Give the exact value of the x-coordinate at the point B. (1 mark) (c) Find J f(x)dx (d) Find the area of the shaded region in the diagram. (4 marks)