t can only be between -2 and 4
#parametric equations (math)
gloomy vortex
x is half of t
so the smallest x can be is half of -2
the biggest it can be is half of 4
based on the range of t
so the range of x is -1 to 2, because its equal to half of t, and t is from -2 to 4 so take half of each of those numbers.
safe lintel
that helped so much i really appreciate it
thank you
ill keep this thread open since i have a few more homework problems for parametrics
gloomy vortex
its the same thing as before - you plug the minimum value of t into the equation to get the minimum value of x, and same for the maximum. Think about it. 16t^2 is going to get bigger as t gets bigger, and smaller as t gets smaller. So when t is biggest, is also when 16t^2 will be biggest. Same for smallest.
agile palm
its the same thing as before - you plug the minimum value of t into the equation...
Pretty sure that's not correct as it's t^2
You can't just plug in the smallest input t but instead should plug in the t value that results in the smallest possible x output
At least, your comment seems to imply to naively plug in the smallest and largest t
@safe lintel note
safe lintel
im still having the biggest headache with these parametric equations
cant seem to get it
agile palm
It's not too difficult once you understand what they're trying to do and when you have practiced them enough
safe lintel
ive been doing polar and complex trig all day with minor issues but cant seem to understand a single thing with this topic - ive looked up atleast 10+ youtube videos
agile palm
ive been doing polar and complex trig all day with minor issues but cant seem to...
Have you looked into any other resources?
Typically Paul's maths notes are quite good
I seem to understand maths better by reading than watching
agile palm
Feel free to come back if you have more questions
gloomy vortex
oh youre right wang, sorry im sleepy
safe lintel
honestly even after reading pauls math notes im still struggling
agile palm
oh youre right wang, sorry im sleepy
No worries lol
agile palm
honestly even after reading pauls math notes im still struggling
What are you struggling with
safe lintel
i understand how to graph it but writing it in the rectangular form is hard for me and getting the new restriction values almost seems impossible to do ðŸ˜
@agile palm
safe lintel
np
safe lintel
any luck
agile palm
@safe lintel apologies I'm back
We can jump into VC if that's easier for you
Otherwise, to convert from the parametric to cartesian formula, you just write the expression with x in terms of t by itself
and then substitute it for the t in the y equation
From there the graph and bounds should be easy
safe lintel
We can jump into VC if that's easier for you
Not gonna lie I’m half asleep in bed rn but my exam is tomorrow so if ur still down and could show me it maybe in paint on screen share or something that would be amazing
I have 3 of the 4 topics on the exam learnt just paramterics is killing me
agile palm
Would it be more beneficial for you to get more sleep or to learn about the parametric equations?
safe lintel
Hahahaha
Considering I’ll be tested on it maybe the parametrics is is more important
I’ll jump out of bed rn if u have some time to donate and help a bad mathematician 🥹
safe lintel
Alr I’ll join in a second let me get my laptop