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# MATHS HELP NEEDED: Imperial/Oxford MAT 2013 Paper watch

1. I don't understand the answer (or solution) to question 1) J) of the multiple choice of the 2013 Oxford/Imperial MAT paper. I'd upload a picture of the question and solution if I knew how...

Here's a link to the paper:
https://www.maths.ox.ac.uk/system/fi...nts/test13.pdf
(Page 7)

Here's a link to the solution:
https://www.maths.ox.ac.uk/system/fi...utions13_0.pdf
(Bottom of page 3)
2. This is the Floor function. When the floor function would convert this to five. So for in range the floor function of will always give the integer 5. So for this we could consider the it to be a rectangle of height 5 and with width hence the area of this rectangle is . By considering all of these rectangles added up you obtain the integral. Try look at the problem again with this in mind - you may have noticed it already though!

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