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Answered by Ihar D. • Maths tutor

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If f(x) = x^2 - 3x + 2, find f'(x) and f''(x)

1. The curve C has equation y = 3x^4 – 8x^3 – 3 (a) Find (i) d d y x (ii) d d 2 y x 2 (3) (b) Verify that C has a stationary point when x = 2 (2) (c) Determine the nature of this stationary point, giving a reason for your answer.

The curve C has the parametric equations x=4t+3 and y+ 4t +8 +5/(2t). Find the value of dy/dx at the point on curve C where t=2.

Calculate the distance of the centre of mass from AB and ALIH of the uniform lamina.

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