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2 3 6. Consider the curve given by the equation 2(x 2 (a) Show that dv 2 sin v cos v. For all points on the curvc. < y < there is a point P on the curve through which thc line tangent to the curvc has slope l. (b) For 2 Find thc coordinates of thc point P. - < v < Give a reason for your answer (c) Detertninc the concavity or the curve at points roc which 2 (d) l.ct y = f (x) bc a function. dcfined iinplicitly by 2(x y) = 3 + cos y, that is continuous on the closed intcrval 12, 2.11 and dilTcrentiable on thc open interval (2, 2. l). Usc (luc Mean Value Theotun on thc interval (2, 2.1) to show that S f (2.1) f (2) 15