some H2 maths qns

jiaxing2 SG

hie hie...need some help here...

1) McClaurian Seris

2 + X + X^3/3! + 2X^4/4! + X^5/5! + X^7/7! + 2X^8/8!+....=

2) Parametric curve....Can use GC to draw...if so how do we set the range...

Thanks in advance

Jiaxing

eagle SG

f(0) = 2
f'(1) = 1
f''(x) = 0
f'''(x) = 1
f''''(x) = 2
f""'(x)=1

and so on

Note that there's a pattern, 2101, 2101

f(x) = 2 + x + x^3/3! + 2x^4/4! + x^5/5! + x^7/7! + 2x^8/8! +....
= (1 + x + x^2/2! + x^3/3! + x^4/4! + x^5/5! + x^6/6! + x^7/7! + x^8/8! + ...) + (1 - x^2/2! + x^4/4! - x^6/6! + x^8/8! - ... )
$=e^{x}+ \cos x$

Do check :D

(2) Which GC are you using?

wee_ws SG

Hi,

If you are using TI, press "WINDOW". Then provide values for "Tmin" and "Tmax".

Thanks!

Cheers,
Wen Shih

jiaxing2 SG

But still got the factorials leh....

I was teaching someone when i encountered this qn..basic mastery nia...i tio stuck damn long..thought that it was a typo...if not the answer is kind of complicated

I got 2cos ( ix^2) - i sin ( ix)...

because dun have x^2 and x^6...so i thought it must have to do wif cos x^2...but then its 2 times and more positive...i introduced the i....

then got all the x^3 x^5...all positive some more...so not only need a i to convert all to same sign...need to divide i to remove the i that i introduced...

anyway i figured this only after his lesson...and i tink he haven even learn complex numbers...

but i dun tink they will set such ridiculous qn...

Regarding the GC...

i got it le...thanz for the help

eagle SG

Hi Jiaxing... I was careless... Changed it... Do check again.

Nice question... Put it on ExamWorld liao.

jiaxing2 SG

i see...nicely done...

thanz

jia xing