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The area between X = 0 and x = 3the x axis, the curve y = (1+x)-¹ and the x ordinates rotated about the x axis by 2 radians. ii) Compute the volume of revolution that results from this, given by3 V=\pi \int_{0}^{3} \frac{1}{(1+x)^{2}} d x i) Hence, find the x coordinate of the centre of gravity, â, given by the integral \hat{x}=\frac{\pi}{V} \int_{0}^{3} \frac{x}{(1+x)^{2}} d x >) For the vectors u=2i+j+4k, v=3i+2j− k, i) The dot product u · v and thus find the angle between these vectors, inradians, II) The cross product u × v and thus find a vector which is perpendicular to-these vectors.

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