Context for question 8The diagram shows the curve with parametric equationsx=6t−sin2t,y=3cos2t+5sint,for 0≤t<21π. The curve has a maximum point, M.
8(a)Implicit Parametric Inverse DifferentiationMedium4 marksFind the gradient of the curve at the point for which t=0.GradientGrade answerSolutionGrading criteria
8(b)Stationary Points OptimisationHard5 marksFind the exact y-coordinate of M.y-coordinate of MGrade answerSolutionGrading criteria