a) Figure 1 shows the curve y=x+4x and the x-axis. Find the area of the shaded...

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a) Figure 1 shows the curve y=x+4x and the x-axis. Find the area of the shaded region. y. y= x+4x Figure 1 Figure 2 2 y=6-x2 2 y=2 (5 marks) b) Figure 2 shows the shaded region bounded by the lines y 6-x and y 2. Find the volume of the solid generated when the shaded region is revolved about i) y 2 using Disk method. ii) x 2 using Shell method. (11 marks) a) Figure 1 shows the curve y=x+4x and the x-axis. Find the area of the shaded region. y. y= x+4x Figure 1 Figure 2 2 y=6-x2 2 y=2 (5 marks) b) Figure 2 shows the shaded region bounded by the lines y 6-x and y 2. Find the volume of the solid generated when the shaded region is revolved about i) y 2 using Disk method. ii) x 2 using Shell method. (11 marks)