A-LevelFurther MathematicsParametric EquationsMay/June 2015Paper 1 Q911 Marks
The curve C has parametric equations x = 4t + 2t³, y = 4t - 2t², for 0 ≤ t ≤ 4. Find the arc length of C, giving your answer correct to 3 significant figures. Find the mean value of y with respect to x over the interval 0 ≤ x ≤ 32.
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