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Answered by Ertug A. • Maths tutor

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What is the gradient of the curve y = 2x^3 at the point (2,2)?

Write down three linear factors of f(x) such that the curve of f(x) crosses the x axis at x=0.5,3,4. Hence find the equation of the curve in the form y = 2(x^3) + a(x^2) + bx + c.

What is the amplitude and period of y=3sin(5x)?

A car is moving on an inclined road with friction acting upon it. When it is moving up the road at a speed v the engine is working at power 3P and when it is moving down the road at v the engine is working at a power P. Find the value of P.

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