Question: 2. Given y = x (1+3x). (a) Using online graphing calculator, sketch the graph y=x (1+ 3x4)2 for 0.5 x 1.5. Hence, calculate the

2. Given y = x (1+3x). (a) Using online graphing calculator, sketch

2. Given y = x (1+3x). (a) Using online graphing calculator, sketch the graph y=x (1+ 3x4)2 for 0.5 x 1.5. Hence, calculate the area bounded by the curve and the x-axis between x = 0.6 and x = 1.3, giving your answer to 3 decimal places. [CO1_C3: 9 MARKS] (b) Estimate the same area in (a) using the Trapezoidal Rule. Choose your own value of the number of trapezoids, n. (c) Compare your results in (a) and (b). Explain your finding. [CO3 C4: 12 MARKS]

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