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FP2 Unofficial Answers for 5/8 Qs

Only did 5 out of the 8 q's.

Contains the questions on

Complex numbers (finding roots)
First order diff eqns (the second one)
Maclaurin/Taylor expansion
de Moivre's theorem
Polar co ords

(edited 7 years ago)

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Reply 1

AmarPatel98

Here:

READ:

part B of de Moivre's theorem should say 10 sin theta

Diff eqn should read e^2theta, not e^-2theta. Should also say -cos(theta) at the end. My bad

Complex numbers was 8(root3 + i), not (8 + 8root3 i) so small type here are the top. the argument is indeed pi/6 though

Note: May contain errors. Let me know if there are any

.

(edited 7 years ago)

AMAR'S FP2 SOLUTIONS INCOMPLETE-compressed.pdf542.7KB

Reply 2

Random1357

Afraid your second one wrong

Reply 3

callum9977

Part B of the De Moirve's has an error

Reply 4

Anas97

How many marks do u lose (out of 7) if u find the general solution for the d.equ and forgetting to use ur boundries to find a perticular solution ? 😞

Reply 5

AmarPatel98

Original post by callum9977

Part B of the De Moirve's has an error

What was wrong?

Should say 10 sin theta right?

Reply 6

Anas97

Original post by Random1357

Afraid your second one wrong

That's what i was thinking, i got something different when i used integration by parts twice not sure tho.

Reply 7

AmarPatel98

Original post by Random1357

Afraid your second one wrong

Might be. How so?

Reply 8

federer98

what was the answer to the first order differential question with p, q and r. Cant remember the exact question.

Reply 9

athers116

You changed an e^2theta to e^-2theta midway through

Edit: the one in front of cos

Reply 10

federer98

Original post by AmarPatel98

Here:

part B of de Moivre's theorem should say 10 sin theta

are you going to do the other ones?

Reply 11

AmarPatel98

Original post by athers116

You changed an e^2theta to e^-2theta midway through

Edit: the one in front of cos

ah ffs yh my bad

Reply 12

P____P

Original post by AmarPatel98

Only did 5 out of the 8 q's.

Contains the questions on

Complex numbers (finding roots)
First order diff eqns (the second one)
Maclaurin/Taylor expansion
de Moivre's theorem
Polar co ords

Nice!

Original post by AmarPatel98

Here:

part B of de Moivre's theorem should say 10 sin theta

Note: May contain errors. Let me know if there are any

Add this to the MA, might be wrong (check)

(edited 7 years ago)

Reply 13

callum9977

Yeah, I think so anyway :biggrin:

Original post by AmarPatel98

What was wrong?

Should say 10 sin theta right?

Reply 14

Random1357

Original post by P____P

Nice!

Add this to the MA, might be wrong (check)

Check your last line! Missing a factor of n on 9

Reply 15

fghj1

Original post by Random1357

Check your last line! Missing a factor of n on 9

Should be n(n^2-3n-9)

Reply 16

P____P

Original post by Random1357

Check your last line! Missing a factor of n on 9

Original post by fghj1

Should be n(n^2-3n-9)

RIP, my bad
(Fixed)

Reply 17

Khoinet

Original post by AmarPatel98

Here:

part B of de Moivre's theorem should say 10 sin theta

Diff eqn should read e^2theta, not e^-2theta. This can be simplified further but i cba

Note: May contain errors. Let me know if there are any

.

I think you got the arg angle wrong for the first one, since the angle is arctan root 3 which is π/3, cause that what i got.