Question

Any help is nice.

Eliminate the perimeter
x=1/2 t, y=(3t^3) - 1

Answer 1

\[x=\frac{ 1 }{ 2 }t , y=3t^3 - 1\]

Answer 2

Ross: Please look up the word "eliminate." Are you sure this is the word you want to use here?

Answer 3

Honestly its not the word choice I would go with but the problem given uses that exact phrasing

Answer 4

Look up "perimeter" also. sure you want to use that word?

Answer 5

i think the wrong word is perimeter ;perhaps should be parameter

Answer 6

Ross, would you want to eliminate perimeters for a living? Think about it.

Answer 7

Parameter. Oops. I read that wrong
Its eliminate the parameter. didnt notice till triciaal said something

Answer 8

I seriously hope you will actually look up the words in question.
Yes, it's parameter, not perimeter. Makes a huge difference.

So, you are to eliminate the parameter here. What is the parameter? Identify it.

Answer 9

Hint: you are given a formula for x and another one for y. Both x and y are functions of what parameter?

Answer 10

Sorry was tabbed out for second.
If im correct the goal is to combine the two equations while solving for t

Answer 11

The goal is to eliminate the parameter, t, so that y ou end up with a single equation giving y as a function of x or x as a function of y.

Answer 12

Of the 2 formulas given you, one for x(t) and one for y(t), which would be the easier to solve for t?

Answer 13

x for t. x= 1/2t
that would become 2x = t?

Answer 14

You began with x=(1/2)t. Please substitute your 2x=t into that first equation as a check.

Answer 15

x=(1/2)t
x=(1/2)2x
x=x

Answer 16

OK. Let's go with that. Always good to check.

We want to eliminate the parameter, t. What's our next step, using your t=2x?

Answer 17

for each value of t in the equation y=(3t^3) - 1 substitute in 2x?

y = (3 * 2x ^3) - 1
y = (6x^3) - 1

Answer 18

You are given the equation y=(3t^3)-1. simply throw out the "t" and write (2x) in its place. We have to be really careful where we place those parentheses.

Answer 19

Think of that y=(3t^3)-1 as\[y=(3)(t)^3-1.\]

Answer 20

I'm suggesting that you throw out the t and replace it with 2x.

Answer 21

Ross?

Answer 22

Sorry was reading that over.
Isnt that what I did? Maybe i did the order wrong?
\[y=(3)(2x)^3 -1\]
so then 8x^3 instead?

Answer 23

Yes, now you have it right. y = 3 (8x^3) - 1.
Can you simplify that further?

Answer 24

\[y=24x^3 - 1\]
Then that would be the end result?

Answer 25

Yes. So, Ross , you now have an equation for y in terms of x alone, and have succeeded in eliminating the parameter, t. Very good!

Answer 26

Awesome. Thank you Mathmale. Ill close the question now. That helped alot

Answer 27

so glad to hear it! Thx for your perseverance. Merry Christmas!