Chapter 1.7, Problem 4E

To determine

To sketch : The curve by using the parametric equation.

Explanation of Solution

Given: The parametric equations are $x=e^{-t}+t$ , $y=e^{-t}-t$ and $-2\le t\le 2$

Calculate some values of $x$ and $y$ .

$t$	$x$	$y$
$-2$	$5.389$	$2.135$
$-1$	$1.718$	$1.367$
$0$	$1$	$1$
$1$	$1.367$	$1.718$
$2$	$2.135$	$5.389$

Table (1)

The sketch of the graph is shown in figure below.

  

Figure (1)

Therefore, the required graph is shown in figure (1).