X Z=1 R N -x=ln4 Y Curve C x=In2 Consider a structure D with a curved solar panel wall that is moulded to a curve C, as shown in Figure 2. D occupies the region below the surface z = f(x,y) = 1 and above the region R on the xy-plane. R is bounded by the planes y=0, x=In2, x=In4 and the curve C which is parametrised by x = ln(t + 2), y = (t+1), t>-1 (a) Write down an expression for the arc length of C between its intersection points with x=In4 and In2 (blue dots in Figure 2). Leave the expression in integral form. (b) Express the equation for the curve C in y=f(x) form.

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