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Question Number 38731 by Rio Mike last updated on 28/Jun/18

Commented by Rio Mike last updated on 28/Jun/18

from the venn diagram above  it is given that n(E)= 10 and   n(A)=5  Find  a) the value of x and y  b) Detemine A ∪ B ∪ C ′   c) without the values x and y..  find ∫_3 ^(π/3) A ∩ B dx.

$${from}\:{the}\:{venn}\:{diagram}\:{above} \\ $$$${it}\:{is}\:{given}\:{that}\:{n}\left({E}\right)=\:\mathrm{10}\:{and}\: \\ $$$${n}\left({A}\right)=\mathrm{5} \\ $$$${Find} \\ $$$$\left.{a}\right)\:{the}\:{value}\:{of}\:{x}\:{and}\:{y} \\ $$$$\left.{b}\right)\:{Detemine}\:{A}\:\cup\:{B}\:\cup\:{C}\:'\: \\ $$$$\left.{c}\right)\:{without}\:{the}\:{values}\:{x}\:{and}\:{y}.. \\ $$$${find}\:\int_{\mathrm{3}} ^{\frac{\pi}{\mathrm{3}}} {A}\:\cap\:{B}\:{dx}. \\ $$

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