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How to solve these 2 different questions? (2 marks) A curve is given in parametric form ac(t) = t2 -3t+5 y(t) = cos -1(t )

How to solve these 2 different questions?

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(2 marks) A curve is given in parametric form ac(t) = t2 -3t+5 y(t) = cos -1(t ) , te [-6, 6] . The coordinates of the point P on the curve that corresponds to to = 3 are (x0, yo) where CO= 5 and yo = Pi/3 dy Find in terms of t. dac dy dx Hence, the equation of the tangent line to the above curve at the point P is y = Ax + B where A = and B =( 3 marks ) Let f be defined implicitly by the parametric curve m=2t2 5 ,t6 0, {y= sin(1rt)+5 [ 00) where y = f (:3). (Notation : For 1r please write Pi and for infinity write infinity) i) The domain of f has the form where :le :lna- The range ot f has the form where :m and=d :an ii) Evaluate f(3). iii) Find y in terms oft. dz

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