ATAR Notes: Forum

Archived Discussion => 2010 => End-of-year exams => Exam Discussion => Victoria => Mathematical Methods CAS => Topic started by: qshyrn on November 08, 2010, 06:32:04 pm

Title: MC Q20 Solution?
Post by: qshyrn on November 08, 2010, 06:32:04 pm
MC Q20 from memory:
int(f(x),x,0,a)=a     F(a)-F(0)=a

2*int(f(x/5)+3,x,0,5a)=??

my working out:
= 2 int(f(x/5),x,0,5a) + 6*int(1,x,0,5a)
= 2 (F(a)-F(0)) +30a
= 2a+30a
=32a

but this wasnt one of the options.... 
Title: Re: MC Q20 Solution?
Post by: Stormer on November 08, 2010, 06:32:54 pm
40a is what I got. First one is 10a?
Title: Re: MC Q20 Solution?
Post by: Linkage1992 on November 08, 2010, 06:33:08 pm
I got 32 too. So i just thought stuff it and put the one that had 40.
Title: Re: MC Q20 Solution?
Post by: fady_22 on November 08, 2010, 06:34:29 pm
I used the substitution method as in spesh (which meant that the first integral was multiplied by 5). And I got 40a too.
Title: Re: MC Q20 Solution?
Post by: taiga on November 08, 2010, 06:35:08 pm
i just put 40
Title: Re: MC Q20 Solution?
Post by: Linkage1992 on November 08, 2010, 06:35:59 pm
I hope you're all right. Guesses FTW
Title: Re: MC Q20 Solution?
Post by: pirocan1 on November 08, 2010, 06:36:24 pm
it had to be larger than 30a so it was either D or E.

Fortunately, I guessed the right one.
Title: Re: MC Q20 Solution?
Post by: vea on November 08, 2010, 06:36:37 pm
I got 32a at first but then somehow got 40a.
Title: Re: MC Q20 Solution?
Post by: Stroodle on November 08, 2010, 06:36:43 pm
i just put 40

rofl, me too. had to be above thirty, and that first term was looking really 10ish to me.
Title: Re: MC Q20 Solution?
Post by: samiira on November 08, 2010, 06:38:05 pm
i did that ini mini maini mo thing on that question and it turned out right :)
Title: Re: MC Q20 Solution?
Post by: goshipeoyo on November 08, 2010, 06:40:29 pm
I used the substitution method as in spesh (which meant that the first integral was multiplied by 5). And I got 40a too.

You dont need spesh to do it? Haha
Once you separate the integrals it works out to be 10a + 30a because int(f(x/5),x,0,5a) =2*5F(a) = 10a, etc
Title: Re: MC Q20 Solution?
Post by: taiga on November 08, 2010, 06:43:56 pm
i just put 40

rofl, me too. had to be above thirty, and that first term was looking really 10ish to me.

yeah same i just calculated the other one, and was like, yeah about five times something equals 10, probs not 20 thats too big. so probably a 10+20
Title: Re: MC Q20 Solution?
Post by: whyareyoureadingthis on November 08, 2010, 06:57:28 pm
Yeah I got 32 and put 40.
Title: Re: MC Q20 Solution?
Post by: mmmmm on November 08, 2010, 07:00:15 pm
I hope you're all right. Guesses FTW

+1
HI FIVE!!

Also half guessed the last one and got it right.
:D
Title: Re: MC Q20 Solution?
Post by: pirocan1 on November 08, 2010, 07:00:58 pm
another case of vcaa fail.
Title: Re: MC Q20 Solution?
Post by: darkphoenix on November 08, 2010, 07:07:22 pm
Can't even remember LOL probs just guessed. But i remeber i got 30something as well first.