5. The region R is bounded by the curve y = x (x> 0), the line y = 8 – 2x and y = 0. (a) Find the intersection point of the curve and the line y = 8 – 2x. (b) Calculate the area R and the volume of...

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Extracted text: 5. The region R is bounded by the curve y = x (x> 0), the line y = 8 – 2x and y = 0. (a) Find the intersection point of the curve and the line y = 8 – 2x. (b) Calculate the area R and the volume of the solid obtained when the region R is rotated about the x-axis.