Calculus Examples

$x = t^{3}$ , $y = 3 t$

Step 1

Set up the parametric equation for $x (t)$ to solve the equation for $t$ .

$x = t^{3}$

Step 2

Rewrite the equation as $t^{3} = x$ .

$t^{3} = x$

Step 3

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$t = \sqrt[3]{x}$

Step 4

Replace $t$ in the equation for $y$ to get the equation in terms of $x$ .

$y = 3 (\sqrt[3]{x})$

Step 5

Multiply $3$ by $\sqrt[3]{x}$ .

$y = 3 \sqrt[3]{x}$

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