Let f(x) = 3x 4x if 0 < x < 1 if 1 x ...

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Let f(x) = √√3x √4x² if 0 < x < 1 if 1 ≤ x ≤ 2 and be the region between the graph of f and the x-axis. Revolve about the y-axis. a) (1 mark) Express the volume of the resulting solid as an integral in y. b) (1 mark)Express the volume of the resulting solid as an integral in x. c) (3 marks) Use the shell method to evaluate the volume of the solid by evaluating one of these integrals. Let f(x) = √√3x √4x² if 0 < x < 1 if 1 ≤ x ≤ 2 and be the region between the graph of f and the x-axis. Revolve about the y-axis. a) (1 mark) Express the volume of the resulting solid as an integral in y. b) (1 mark)Express the volume of the resulting solid as an integral in x. c) (3 marks) Use the shell method to evaluate the volume of the solid by evaluating one of these integrals.

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