A-LevelFurther MathematicsParametric EquationsMay/June 2016Paper 1 Q1114 Marks
ANSWER ONLY ONE OF THE FOLLOWING TWO ALTERNATIVES. EITHER A curve C has parametric equations x = e²ᵗ cos 2t, y = e²ᵗ sin 2t, for -π/4 ≤ t ≤ π/4. Find the arc length of C. Find the area of the surface generated when C is rotated through 2π radians about the x-axis.
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