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For John only Explain why the...

For John only

Explain why the graph of the function f(x) = x^2 ln(1/3 x) lies below the x-axis for 2<x<3 and above the x-axis for 3<x<5.

Use this fact to find the area enclosed by the graph and the x-axis between x=2 and x=5, giving answer to 4 d.p.

Find the solid of revolution obtained when the graph of

f(x)= cosx + sinx, from x= -pi/6 to x= 2/3pi,

is rotated about the x-axis. Answer to 4 d.p.

Thanks

Explain why the graph of the function f(x) = x^2 ln(1/3 x) lies below the x-axis for 2<x<3 and above the x-axis for 3<x<5.

Use this fact to find the area enclosed by the graph and the x-axis between x=2 and x=5, giving answer to 4 d.p.

Find the solid of revolution obtained when the graph of

f(x)= cosx + sinx, from x= -pi/6 to x= 2/3pi,

is rotated about the x-axis. Answer to 4 d.p.

Thanks

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