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secondary 4 | A Maths
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Angelina
Angelina

secondary 4 chevron_right A Maths chevron_right Singapore

Please help me with these questions. Preparing for o levels. Thank you very much!!

Date Posted: 4 years ago
Views: 192
Bendy
Bendy
4 years ago
Please note that I have deleted the old answer because there might be some careless mistakes within while trying to work it out quick.

The solution for question 7 still surrounds
r1 + r2 = 22
(4/3) * pi * (r1)^3 - (4/3) * pi * (r2)^3 = 3050 2/3

I am out now so would not be able to show you on writing. Sorry about that
Angelina
Angelina
4 years ago
I did that and I couldn’t get the answer sir.
Bendy
Bendy
4 years ago
As for question 8, you will have to make 2 equations.

Note that factor means there is no remainder. When you substitute x = -3 into the equation, you should get
((-3)^(2n) - k) = 0
From this you can find out the first equation

Sub x=-1 into the initial equation and equate it to 80 and
((-1)^(2n) - k) = 80

You can then equate k to get n, then work backwards to get k accordingly
Bendy
Bendy
4 years ago
You mentioned that the answer is 10 and 12 right? If you try and get the difference between their volume, you will realize that it would not fit the equation, that answer is wrong.
Angelina
Angelina
4 years ago
Oh okay sir. Thank you very much
Bendy
Bendy
4 years ago
I will try to write out a solution for you tonight if there are no other solutions from others in the community. Hope you will be able to get it!
Angelina
Angelina
4 years ago
Thank you sir!
Eric Nicholas K
Eric Nicholas K
4 years ago
Done. I have confirmed that 12 is valid as a solution, but only if # = 22/7 is used rather than the calculator value.
Bendy
Bendy
4 years ago
Hello there. It seems like it was a true careless mistake. I apologize for that. The other tutor has demonstrated the answer which I agree to because I end up with the same answer. His is an easier way to follow and understand.

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
1st
Q7, partly done

The equation will reduce to a cubic equation. Wait for a moment while I solve this cubic equation.
Angelina
Angelina
4 years ago
Yes sure! Thank you!
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
The numbers are too large here so this should not appear in the O Levels (at least the large numbers should not appear).

In the previous post I wrote r > 11, so we can test values from 12 onwards. 12 is just nice a factor of 5688 and what’s more, it fits the equation nicely!

Let me know if you do not understand my workings for the polynomial part.
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
Remember to use the remainder theorem and the rules of indices to solve for k and n.

You will get x^4 - 81 which you will then factorise using E Maths techniques.
Angelina
Angelina
4 years ago
Thank you so much!