Calculus Examples

$x = t^{3} + t + 4$ , $y = - 2 t^{3} - 2 t$

Step 1

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

$x = t^{3} + t + 4$

Step 2

Rewrite the equation as $t^{3} + t + 4 = x$ .

$t^{3} + t + 4 = x$

Step 3

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

$y = - 2 {(x)}^{3} - 2 x$

Step 4

Remove parentheses.

$y = - 2 x^{3} - 2 x$

Step 5

Remove parentheses.

$y = - 2 {(x)}^{3} - 2 x$

Step 6

Remove parentheses.

$y = - 2 x^{3} - 2 x$