Question:

A function is given by f(x)=3x2-x3+9x-2.

(i) Find the coordinates of any stationary points and determine their nature.

(ii) Find the coordinates of any points of inflexion.

(iii) Sketch the graph of Y=f(x) for -2x5

(iv) For what values of x over the given domain is the function concave up?

 

Find the volume of the solid formed when the area between the curve Y=ln(2x) and they axis is rotated about they axis from Y=1 to Y=6

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