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# (a) Sketch the curve by using the parametric equations to plot points. Indicat with an arrow the direction in which the curve is traced as $t$ increases.(b) Eliminate the parameter to find a Cartesian equation of the curve.$x = \sqrt{t}$, $\quad y = 1 - t$

## (a) $$\begin{array}{|c|ccccr|}\hline t & 0 & 1 & 2 & 3 & 4 \\\hline x & 0 & 1 & 1.414 & 1.732 & 2 \\\hline y & 1 & 0 & -1 & -2 & -3 \\\hline\end{array}$$(b) $x=\sqrt{t} \Rightarrow t=x^{2} \Rightarrow y=1-t=1-x^{2}$. since $t \geq 0, x \geq 0$So the curve is the right half of the parabola $y=1-x^{2}$

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hot, eh? Scapes occurred by use of the parametric equations to broad points indicated with their own direction your veg secure. If it's tress, that's he increases, eh? When he could fool negative for Oh, your first day. With that, he got zero x equal to Cyril. Why go to why he go to one axe is you want? Why his secret to Cyril, What is equal to two ax is equal to the square root of two. Why is the door to connected War? He is three actually is equal to three. Why is the connective too? But he got four X is equal to two. Why is the connective three then? Not sketch the curve? Just that zero one No. Zero one here. And why Cyril squired it of two negative One square root of three Negative two and two Conectiv three. That's a curve is like this. Had to be eliminate the permitted to find a cottage in equation out the crew from here with half x squared is equal to And then look into this equation we have Why is he going to one minus x squared? So here ax is greed. San Siro! This's a petition in question of the craft

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Parametric Equations

Polar Coordinates

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