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Maths Pure Papers

Maths Summer Y13

QuestionAnswer
Choosing what type of integration to do when function of function (e.g. x/(sqrt(2x^2 + 1)) By parts still leaves the horrible indices. When there's a function in a function, substitution best
How to do integration by substitution when x/sqrt(2x^2 + 1) This is the type of integration where you find dx Do the easiest u you can. Ignore the function happening to the function because you won't be able to get du as easily. i.e. u = 2x^2 + 1, not including the squareroot (DONT FORGET SQRT LATER)
When showing that lines cross between x = 3 and x = 4 Good to use f(3) notation Best to express as [function of main line] - [function of the other line] (in this case curve - x) so that it will show going from +ve to -ve
REMEMBER UNITS
When explaining method without calculation Use more detail, explaining which simul equations you need (from the previous parts of the Q the method is the same so copy that)
If answer in degrees is rlly obviously wrong (like 1800 seconds on a rollercoaster) Look for radians in Q. If Q doesnt specify either way, then use whichever makes more sense, which here is radians
'The first year during which the value (of an exponential) was more than 100000' DURING which, so if it happened on december 2022, say 2022 not 2023
When giving bounds for line y intercepts Look for lower bound as well as upper bound. Sometimes can only be reasoned with common sense rather than the proper method from the other bound
Created by: Pyrogearos2
 

 



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