(2) Maximum Mark: 8) a. Find f(3x+1)x+x dx Consider functions f(x)=xx and g(x)=6-3xx+x, for x 20....

Transcribed Image Text:

(2) Maximum Mark: 8) a. Find f(3x+1)x+x dx Consider functions f(x)=xx and g(x)=6-3xx+x, for x 20. The graphs off and g are shown in the following diagram. [3] The shaded region R is enclosed by the graphs faud g, the y-axis and x = 1. b. Write down an expression for the area of R. C. Hence find the exact area of R 23 {2} (6) (2) Maximum Mark: 8) a. Find f(3x+1)x+x dx Consider functions f(x)=xx and g(x)=6-3xx+x, for x 20. The graphs off and g are shown in the following diagram. [3] The shaded region R is enclosed by the graphs faud g, the y-axis and x = 1. b. Write down an expression for the area of R. C. Hence find the exact area of R 23 {2} (6)