How would I go about graph sketching?
You want to look at turning points, intersections and when the gradient is possitive or negative. It is also important to demonstrate what is going on with graphs when they are tending towards 0 (especially in the interval -1
SG
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All answers ▸What graph can y = cos^2(x^2)/ x^2 have, for x > 0 ?
I've been doing specimen MAT admission test - but I couldn't figure out the answer to the parts III, and IV of question 6 (https://www.maths.ox.ac.uk/system/files/attachments/speca.pdf). Is there some kind of a trick?
How do you solve hard integration questions using information you know
We define the digit sum of a non-negative integer to be the sum of its digits. For example, the digit sum of 123 is 1 + 2 + 3 = 6. Let n be a positive integer with n < 10. How many positive integers less than 1000 have digit sum equal to n?