Question: 3e. 12 marks) Write down an expression for the area enclosed by the cubic function, the x-axis, the y-axis and the line x = 4.4.

 3e. 12 marks) Write down an expression for the area enclosedby the cubic function, the x-axis, the y-axis and the line x
= 4.4. 3f. [2 marks) Find the value of this area. 3g.[2 marks] A second possible model for the curve y = f

3e. 12 marks) Write down an expression for the area enclosed by the cubic function, the x-axis, the y-axis and the line x = 4.4. 3f. [2 marks) Find the value of this area. 3g. [2 marks] A second possible model for the curve y = f (x) is an exponential function, y = pex where p, q E R. Show that In y = qx + Inp. 3h. [1 mark] Hence explain how a straight line graph could be drawn using the coordinates in the table. 3i. [5 marks] By finding the equation of a suitable regression line, show that p = 1.83 and q = 0.986. 3j. [2 marks] Hence find the area enclosed by the exponential function, the x-axis, the y-axis and the line x = 4.4.This question explores methods to determine the area bounded by an unknown curve. The curve y = f(x) is shown in the graph, for 0 S x S 4.4. 140 120 100 80 60 40 20 X 2 W The curve y = f(x) passes through the following points. X 0 1.1 2.2 3.3 4.4 y 2 5 15 47 148

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