Question: Please help V ) (2020-DSE-MATH-EP(M2) #06) (7 marks) A 6. Consider the curve C1 : y = 2*-1 , where x > 0 . Denote

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V ) (2020-DSE-MATH-EP(M2) #06) (7 marks) A 6. Consider the curve C1 : y = 2*-1 , where x > 0 . Denote the origin by O . Let P(u, v) be a moving point on C1 such that the area of the circle with OP as a diameter increases at a constant rate of 5x square units per second. (a) Define S = u2 + v2 . Does S increases at a constant rate? Explain your answer. ( b ) Let C2 be the curve y = 2* , where x > 0 . The vertical line passing through P cuts C2 at the point Q . Find the rate of change of the area of AOPQ when u = 2 . 80

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