Question: 3. (a) Find a parameterization for the curve in the Qtyplane given by the parabola with equation a: = y2 (i.e. nd two functions f

3. (a) Find a parameterization for the curve in the Qtyplane

3. (a) Find a parameterization for the curve in the Qtyplane given by the parabola with equation a: = y2 (i.e. nd two functions f (t) and g(t) such that a: = t) and y 2 g(t) satisfy the equation m = y2). (b) Use your result in part(a) above to calculate the line integral / F(x) cds, Where C' is C the curve given by the parabola a: = y2 from (0, 0) to (9, 3), and F is the vector valued function (or vector eld) F(27, y) = (:62, 312) = $2i 'l' 312.j- [1+4=5 marks]

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