4. Find a rectangular-coordinate equation by eliminating the parameter for each pair of parametric equations in parts (a) and (b). (a) x = t2 - 5 and y = (b) x = 3+ 2 cos 0 and y = 4 + 7 sin 0 (c) Consider the curve given by parametric equations x = 3t2 and y = t3 - 30t. Find each (i) - (iv). (i) dy dttus: (c) Consider the curve given by parametric equations x = 3t2 and y = t3 - 30t. Find each (i) - (iv). (i) dy dt (ii) dx dt (iii) dy dx (iv) ) dry da 2(d) Find the t value(s) where the tangent to the curve in part (c) is horizontal. If there are no such t values, write DNE