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in Vector algebra by (245 points)
let g(x)=∫x0(3t2+2t+9)dtg(x)=∫0x(3t2+2t+9)dt and f(x)f(x) be a decreasing function, ∀x≥0∀x≥0 such that AB=f(x)i^+g(x)j^AB=f(x)i^+g(x)j^ and AC=g(x)i^+f(x)j^AC=g(x)i^+f(x)j^ are the two smallest sides of a ΔABCΔABC whose circumcentre lies outside the triangle, ∀x>0.

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