Let C be the portion of the curve y = x between the points (8, 2)...

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Let C be the portion of the curve y = x between the points (8, 2) and (64, 4). (a) Set up, but do not evaluate a definite integral for the arclength of C. (b) Set up, but do not evaluate a definite integral for the surface area of the surface you get if you revolve C about the x-axis. If S is a region in the xy-plane whose moment about the x-axis is given by the definite integral ME 1 = 1 / P / ( x-2) dz (where p is the density), what might S look like? Sketch a possible region S. Be sure to label your sketch, including the equations of any boundary curves. Do not evaluate the integral. If T is a region in the xy-plane whose moment about the y-axis is given by the definite integral My = P [ (x x) dx (where p is the density), what might T look like? Sketch a possible region T. Be sure to label your sketch, including the equations of any boundary curves. Do not evaluate the integral. Let C be the portion of the curve y = x between the points (8, 2) and (64, 4). (a) Set up, but do not evaluate a definite integral for the arclength of C. (b) Set up, but do not evaluate a definite integral for the surface area of the surface you get if you revolve C about the x-axis. If S is a region in the xy-plane whose moment about the x-axis is given by the definite integral ME 1 = 1 / P / ( x-2) dz (where p is the density), what might S look like? Sketch a possible region S. Be sure to label your sketch, including the equations of any boundary curves. Do not evaluate the integral. If T is a region in the xy-plane whose moment about the y-axis is given by the definite integral My = P [ (x x) dx (where p is the density), what might T look like? Sketch a possible region T. Be sure to label your sketch, including the equations of any boundary curves. Do not evaluate the integral.