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Calculus Level 5

Point P ( x , y ) P(x,y) is such that it lies in the first quadrant and ⌊ x ⌋ + ⌊ y ⌋ = 5 \lfloor x \rfloor + \lfloor y \rfloor = 5 , then find the area in which point P P lies.

Notation : ⌊ ⋅ ⌋ \lfloor \cdot \rfloor denotes the floor function .

5 None of these 15 14 6 4

Sabhrant Sachan by Sabhrant Sachan , 21, India

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1 solution

So the total area is the sum of areas of these 6 boxes....which is equal to 6 6

2 Helpful 2 Interesting 2 Brilliant 0 Confused

Please ignore the fact that I did not make the dotted lines and the solid lines distinct as it would not have mattered to the area and also would have messed up my diagram as I am a really poor at drawing. Instead I mentioned the intervals we should be looking at.

Arghyadeep Chatterjee - 2 years ago

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