4 24 Marks The Slope At Any Point 1 Y Of A Curve C Is Given By 6 2 K Where K Is A Constant The Curve Passes Th 1 (35.62 KiB) Viewed 20 times
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4. (24 marks) The slope at any point (1, y) of a curve C is given by -6.2 + k where k is a constant. The curve passes through the origin and the point (3,9). (a) Find the value of k and the equation of the curve C. (8 marks) (b) Find the area of the region bounded by the curve C and the x-axis. (8 marks) (c) Let P be a point (a,b) on the curve C. The area of the region bounded by the curve and the line from the origin to P is 27. Find the value of a. (8 marks)
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