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# OCR Core 3 (not MEI) June 2010 paper questions watch

1. Hi everyone, can you help me with some A Level Core 3 OCR (non-MEI) questions please? They’re from the June 2010 paper. Here’s the link:
http://www.ocr.org.uk/Images/65003-q...hematics-3.pdf

The questions that I’m stuck on are 7) (according to the mark scheme I have to differentiate at some point, but I don't understand why?), 8) ii)b) and 9) iv). I’ve got the mark scheme to hand but I’m a bit muddled as to which methods to use to solve these problems. Can somebody please talk me through them step by step, showing me what I need to do, please. Thank you.
2. (Original post by Mr Cosine)
Hi everyone, can you help me with some A Level Core 3 OCR (non-MEI) questions please? They’re from the June 2010 paper. Here’s the link:
http://www.ocr.org.uk/Images/65003-q...hematics-3.pdf

The questions that I’m stuck on are 7) (according to the mark scheme I have to differentiate at some point, but I don't understand why?), 8) ii)b) and 9) iv). I’ve got the mark scheme to hand but I’m a bit muddled as to which methods to use to solve these problems. Can somebody please talk me through them step by step, showing me what I need to do, please. Thank you.
For 7. You need to find the area under the curve between P and where it touched the X axis. And from that take away the area under the line between P and where it meets the X axis, Q.

You need to differentiate to find the equation of the line. You know the line is a tangent to the curve when x = 1. So if you differentiate the curve and sub in x = 1, you'll get the gradient of the line.

For the bit on 8, write out T(3x) as 8/(Rcos(3x - alpha)) = 8/6 x (root 6)

Now rearrange till you get cos(3x - alpha) = [SOMETHING]

Then do inverse cos to get 3x - alpha = arccos([SOMETHING])

Rearrange to find x. Draw the graph of cos and sketch that angle, and make sure the x is the smallest angle which it holds that value.

For 9) You know a = -1, so you can sub in g(x) into f(x) and then you'll have a quadratic which you can solve for b.
3. (Original post by SamKeene)
For 7. You need to find the area under the curve between P and where it touched the X axis. And from that take away the area under the line between P and where it meets the X axis, Q.

You need to differentiate to find the equation of the line. You know the line is a tangent to the curve when x = 1. So if you differentiate the curve and sub in x = 1, you'll get the gradient of the line.

For the bit on 8, write out T(3x) as 8/(Rcos(3x - alpha)) = 8/6 x (root 6)

Now rearrange till you get cos(3x - alpha) = [SOMETHING]

Then do inverse cos to get 3x - alpha = arccos([SOMETHING])

Rearrange to find x. Draw the graph of cos and sketch that angle, and make sure the x is the smallest angle which it holds that value.

For 9) You know a = -1, so you can sub in g(x) into f(x) and then you'll have a quadratic which you can solve for b.
OK, thanks for all your help! I really appreciate it I can do these problems now

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