Figure 17.11 shows the parametric curve $x=x(t), y=$ $y(t)$ for $a \leq t \leq b$. (FIGURE CAN'T COPY)
(a) Match a graph to each of the parametric curves given, for the same $t$ values, by
(i) $\quad(-x(t),-y(t))$
(ii) $\quad(-x(t), y(t))$
(iii) $\quad(x(t)+1, y(t))$
(iv) $\quad(x(t)+1, y(t)+1)$
(FIGURES CAN'T COPY)
(b) Which of the following could be the formulas for the functions $x(t), y(t) ?$
(i) $x=10 \cos t \quad y=10 \sin t$
(ii) $x=(10+8 t) \cos t \quad y=(10+8 t) \sin t$
(iii) $x=e^{t^{2} / 200} \cos t \quad y=e^{t^{2} / 200} \sin t$
(iv) $x=(10-8 t) \cos t \quad y=(10-8 t) \sin t$
(v) $x=10 \cos \left(t^{2}+t\right) \quad y=10 \sin \left(t^{2}+t\right)$