Rewrite the following parametric equations in rectangular form. x=e^3t y=e^-t

To solve this problem you must apply the proccedure shown below:
 1. You have the following parametric equations given in the problem above: 
 x=e^3t
 y=e^-t 
 2. Therefore, you must solve fot et in the second equation, as below:
 y=e^-t
 y=1/e^t
 e^t=1/y
 3.Substitute into the first equation:
 x=e^3t
 x=(e^t)^3
 x=(1/y)^3
 x=1/y^3   (y>0)
 The answer is: x=1/y^3  (y>0)

Step-by-step explanation:

A block of ice loses one third of its weight every hour. After 2 hours, the block weighs 40 pounds. How much did the block weigh to begin with? ... x - x/3 - (1/3)(x/3) = 40lb |loses one third of its weight every hour. Solving for x x - x/3 - x/9 = 40 9x - 3x - x = 360 5x = 360 x = 72lbs, original weight of the block