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Calculus Examples

x = t

$x = t$ ,

y = t^{2}

$y = t^{2}$

Step 1

Set up the parametric equation for

x (t)

$x (t)$ to solve the equation for

t

$t$ .

x = t

$x = t$

Step 2

Rewrite the equation as

t = x

$t = x$ .

t = x

$t = x$

Step 3

Replace

t

$t$ in the equation for

y

$y$ to get the equation in terms of

x

$x$ .

y = {(x)}^{2}

$y = {(x)}^{2}$

Step 4

Remove parentheses.

y = x^{2}

$y = x^{2}$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$