4. Find the equation of the tangent to the curve y = sin (3x) cos (@) at x = T. (6 marks) 5. The movement of the crest of a wave is modelled with the function h(t) = 0.2 cos(4t) + 0. 3 sin (5t). Find the maximum height of the wave and the time at which it occurs. (6 marks) 6. Determine the 19" derivative of the function y = sin(2: ). Fully explain the process you used to determine this. (4 marks)1. Find the derivatives of each of these functions. (4 marks each) a. y = (x4 + csc(x) ) b. y sec (4z) sin (2:) C. y = CSC V3x2 + 1 cos'(2) d. y = In(3z+4) 2. Use the process of implicit differentiation to find dy given that sin (4x) + sin(2y) = 1 (4 marks) 3. Including all steps, charts, and derivations details, use the curve sketching methods to sketch the graph of the given function on the interval -27