Question: [Maximum mark: 9]Consider the function defined byf(x)=kx-5x-k, where xinR??{k} andk25.Consider the case where k=3.(a) Sketch the graph ofy=f(x), stating clearly the equations ofany asymptotes and

[Maximum mark: 9]Consider the function defined byf(x)=kx-5x-k, where xinR??{k} andk25.Consider the case where k=3.(a) Sketch the graph ofy=f(x), stating clearly the equations ofany asymptotes and the coordinates of any points ofintersections with the coordinate axes.(b) The region bounded by the x-axis, the curve y=f(x), andthe lines x=5 and x=7is rotated through 2 about the x-axis. Find the volume of the solid generated, givingyour answer in the form (a+bln2), where a,binZ.

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