Open Question: The area between two curves?
y=4x-x^3
Point A has cordinates (2,0)
i) Find dy/dx then find the equation of the tangent to the curve A
ii)The tangent at A meets the curve again at the point B Show that the x-coordinate of B satisfies the equation x^3-12x+16 Find co-ordinates of B
iii) Calculate area of shaded region between the straight line AB and the curve
Point A has cordinates (2,0)
i) Find dy/dx then find the equation of the tangent to the curve A
ii)The tangent at A meets the curve again at the point B Show that the x-coordinate of B satisfies the equation x^3-12x+16 Find co-ordinates of B
iii) Calculate area of shaded region between the straight line AB and the curve
8)Find area of region by curves y=x^2 -16 and y=4x-x^2
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