3 5 marks consider the region r thats bounded by the

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3. [5 marks ] Consider the region R that°s bounded by the x -axis and y = 1 ² tan 2 x on x 2 0 ; ° : h i
4 (a) Consider the solid E 1 generated by rotating R about the x -axis. i. Plot the solid E 1 using Maple:
ii. State the integral representing the volume V 1 of solid E
iii. Evaluate the volume V 1 using Maple (change output=plot to output=value in part (a)(i)).
(b) Consider the solid E 2 generated by rotating R about the y -axis. Using part (a) as a template: i. Plot the solid E 2
ii. State the integral representing the volume V 2 of solid E
Grade: 24 24

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