Consider the curve given implicitly by y2=4x+1.
(i) When x=3, find all corresponding y-coordinates on the curve.
(ii) For each point obtained in part (i), compute the slope of the tangent to the curve.
(iii) Write the equation of every tangent line found in part (ii) in point-slope form.
(iv) For each point in part (i), find the equation of the normal line to the curve.