Parametric Equations 1 • Intro, Cartesian, and Domain/Range • P2 Ex8A • 🚀

[@goodcitizen5245]

Love your videos bicen. So extremely helpful and all completely free. True maths hero

[@BicenMaths]

Glad you like them! Hope your studies are going well!

[@srithianjali2691]

I really love Mr Bicens explanations, the diagrams really help

[@ebadrahman1290]

Nice 👍 you ask good questions to the class the are relevant to me 🎉

[@randomchild4440]

These videos are so useful, thank youu!!!

[@malanhemal6574]

Sir, to find the domain and range of the function, do you think I should draw each graph separately, x and y? Then see its restrictions or is there any other way?

[@BicenMaths]

That’s a really good way of doing it - that’ll work really well!

[@sallyelcome5383]

For the example question in 5:34 could you make y=t^2 the subject then sub that into the other equation??

[@BicenMaths]

Yes, that would also work! You'd need to do an extra stage of working to get y as the subject at the end, but perfectly acceptable approach :)

[@HannaKhalil]

Hi sir, how is the domain 0

[@BicenMaths]

This is because we’re thinking what values can y take, if y=t^2 and if -3

[@HannaKhalil]

@@BicenMaths Thank you!

[@tyraf7031]

@@BicenMathsbut sir, for this question, why is it strictly less than 9, and not less than or equal to 9 ?

[@BicenMaths]

Because t cannot equal 3 or -3, so t^2 cannot equal 9. It will be less than 9.@@tyraf7031

[@NazmaNuur]

sir when do u think its a good time to finish content? love ur vids btw

[@toxins5803]

Sir, what would you say is the best order to learn the A2 course, in terms of which chapters to do first? Or should we just start from chapter 1?

[@BicenMaths]

Sorry this took me ages to reply! Starting from Ch1 and continuing in that order is a safe option, as that way you know that anything you require to access a new topic has already been learned. I would warn you that the earlier chapters start easier, and that you’ll need a lot more time once you hit Ch7 onwards as these are much bigger content wise!

[@toxins5803]

@@BicenMaths Thank you Sir, and the late reply isn’t a problem.

[@samuuu1996]

hello sir, i have been trying 8a and i have no idea how the domain for x=1/t+1 when t>2 can be 0

[@BicenMaths]

So if t=2 (I know it can't equal 2, but for the sake of figuring out what it can be, we can do this), x=1/3 Now we are told that t is greater than 2, so let's think what happens as t increases. As t increases, the denominator increases, but the numerator stays as 1. If we have 1 divided by something that is big, and getting bigger, what happens? It goes towards 0, i.e. it gets really small. But it can never equal 0, as 1 divided by something, no matter how big it is, is always a little bigger than 0. So that's why we have that it is inbetween 0 and 1/3

[@samuuu1996]

@@BicenMaths thank you so much for answering again sir! :)))

[@ikunim_]

15:43 for the range question what about if t = -5 ? What would that mean🤔

[@BicenMaths]

t cannot be -5, as it only allows values for t which are greater than -2, and -5 is less than -2

[@jefking2158]

Sir, if i am doing the a level in one year. Is it okay if i skip the excercises by chapter e.g. excercise 8 a,b,c…n. And just do the mixed excercise questions for each chapter as i dont have much time. After learning frim your videos and then completing the mixed excercise i answer the questions from your google doc. Is this an effectuve method to learn content?

[@BicenMaths]

Yes, I think that is good to do - however, for things like Differentiation and Integration, where the skills are very important to learn, I would recommend doing practice from the separate exercises, too!

[@jefking2158]

@@BicenMaths ok thank you for the reply sir. Sorry for annoying you with too many questions aswell😅

[@BicenMaths]

@jefking2158 no apology necessary, happy to help!

[@fathemazumder]

hi what would the range and domain be for the last two questions?

[@BicenMaths]

First question: range > 0, domain x > 0 Second question: range > -2, domain x can be all real values

[@dhruvsharma9252]

thank u !

[@BicenMaths]

You’re welcome 😊