since theres been much debate, the answers (which i'm nearly 100% sure are correct) are
38.9cm^2 for the area of ABDCDEA or whatever messed up shape that was
(sinx)(2-3cosx) giving you x=-pi,0,0.841,-0.841 (idk if it was 2sf, pi is NOT in the range)
2880 minimum surface area
k was 5root3
n is 44 not 43, you switch the inequality sign when dividing by the log because it's value is negative, so it was n>43.2 implying that n is 44. Subbing this back into the equation worked, with 44 it was <0.5 with 43 it was greater.
I thought the paper was fairly generous. My one concern, is that when finding the second derivative in part d of the last question, I acciedently wrote dy^2/dx^2. When it's actually d^2y/dx^2... Will I have lost an accuracy mark, as technically the notation of my second derivative was incorrect?
You would probably lose all the marks for that actually.
A lot of people in my year( A2 students retaking C2) got 43 for n.
I got 43 as well.
Can some please show me how they got 44?
it came out to n>43.2, so n couldn't be 43 , and the answer has to be <0.5. so since n was the power of a fraction, the higher the power, the smaller the answer. so it was the next biggest integer
I did it by having n x negative number < negative number on the last step. When you divide a negative by a negative the inequality sign switches to give some that was like n>43.2. Basically if you didn't switch the inequality then you would get 43
A lot of people in my year( A2 students retaking C2) got 43 for n.
I got 43 as well.
Can some please show me how they got 44?
You ended up with something like N>43.1 (You had to flip the inequality sign somewhere in the process as one of the logs was negative).
N has to be an integer, and 43 is too low, therefore it has to be 44. I checked this on my calculator as well just to confirm my answer, and 43 doesn't work.
Hmmmm...I checked using 43 as well and it was greater than 0.5, but I don't know where I went wrong so I will just put my working out here and hopefully someone can tell me where I have gone wrong:
160-160(1-(7/8)n) < 0.5
I divided both sides by 160
1-(1-(7/8)n) <0.5/160
Opened up the brackets and the two give:
1-1+(7/8)n < 0.5/160
the ones cancelled each other out
(7/8)n<0.5/160
log both sides
n log(7/8) < log(0.5/160)
divide both sides by log(7/8)
then i got n < 43.19..
which is why got n= 43, if someone can point out my mistake please do so
Hmmmm...I checked using 43 as well and it was greater than 0.5, but I don't know where I went wrong so I will just put my working out here and hopefully someone can tell me where I have gone wrong:
160-160(1-(7/8)n) < 0.5
I divided both sides by 160
1-(1-(7/8)n) <0.5/160
Opened up the brackets and the two give:
1-1+(7/8)n < 0.5/160
the ones cancelled each other out
(7/8)n<0.5/160
log both sides
n log(7/8) < log(0.5/160)
divide both sides by log(7/8)
then i got n < 43.19..
which is why got n= 43, if someone can point out my mistake please do so
Log(⅞) is a negative and so is log(0.5/160) so when you divided through by a negative you change the inequality sign, which you didn't do. Hope this helps
Hmmmm...I checked using 43 as well and it was greater than 0.5, but I don't know where I went wrong so I will just put my working out here and hopefully someone can tell me where I have gone wrong:
160-160(1-(7/8)n) < 0.5
I divided both sides by 160
1-(1-(7/8)n) <0.5/160
Opened up the brackets and the two give:
1-1+(7/8)n < 0.5/160
the ones cancelled each other out
(7/8)n<0.5/160
log both sides
n log(7/8) < log(0.5/160)
divide both sides by log(7/8)
then i got n < 43.19..
which is why got n= 43, if someone can point out my mistake please do so
you have to round up at the end because 43, as you have pointed out, will produce an incorrect answer but n must be an integer.