help with Q3 and Q4 please

3.2 Differentiate the following with respect to x : 3.2.1 y= x tan 3x. (2) 3.2.2 y = (n (2x +1) (2) 3.2.3 y= +1 * - 1 Simplify your answer. (4) 3.3 The period T of a simple pendulum of length / is given by T = 2n, where g is a constant called the acceleration due to gravity. Find dT dl (3) 3.4 Find the turning points of the function y = x* - 8x + 16 and determine their nature. (8) [24] QUESTION 4 4.1 Determine the following integrals: 4.1.1 (cos 2x + sinx) dx (2) x+1 4.1.2 dx (3) Vx2 + 2x+ 1 4.1.3 J ( mow + 2 + 1) ax (3) 4.2 A cyclist pedals along a straight road with velocity v(t) = 21 - 81 + 6 km/h, for 3 hours. The velocity, v(t) , is measured in km/h and the time , t , in hours. 4.2.1 Sketch the velocity function over the 3 hours. When does the cyclist move in a positive direction and when in a negative direction? (5) 4.2.2 Use integration to find the total distance the cyclist traveled