[10 marks] Find an equation of the curve y = f(x) if y′′ = 6x and the tangent
line to the curve at (1, 2) is horizontal.
(b) [10 marks] A straight line from the origin passes through the point P(x,y) in the first quadrant and is inclined at θ = π3 from the positive x-axis. Write an equation for the line.
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Question 6 (a) [10 marks) Find an equation of the curve y = f(x) if y" = 6x and the tangent line to the curve at (1,2) is horizontal. (b) [10 marks] A straight line from the origin passes through the point P(r, y) in the first quadrant and is inclined at 0 = from the positive r-axis. Write an equation for the line. Question 6 (a) [10 marks) Find an equation of the curve y = f(x) if y" = 6x and the tangent line to the curve at (1,2) is horizontal. (b) [10 marks] A straight line from the origin passes through the point P(r, y) in the first quadrant and is inclined at 0 = from the positive r-axis. Write an equation for the line.