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However the values of a and b will be different here. The new parameters are a=0 and b=2
When n=2
The graph of the function y=x2
[pic]
The Area of the shaded region or area B was found to be 2.66666666 units2.
Area A = 8- Area B
= 8- 2.666666666666
= 5.33333333333 units2
Mathematically the area can also be found by the following-
Total Area = 8 units2
Area B = [pic]
= [pic]
Area A = [pic]
= [pic]
Ratio of area A : area B
[pic] : [pic]
= 2 : 1 (Satisfies the conjecture n:1)
When n=3
The graph of the function y=x3
[pic]
The Area of the shaded region or area B was found to be 4 units2...
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However, this time again I will change the parameters further. The new parameters will be a=1 and b=2.
When n=2
The graph for the function y=x2
[pic]
The Area of the shaded region or area B was found to be 2.333333333 units2.
Area A =7- Area B
= 7-2.33333333
= 4.666666666 units2
Mathematically the area can also be found by the following-
Total Area = 7 units2
Area B = [pic]
= [pic]
Area A = [pic]
= [pic]
Ratio of area A : area B
4...
Essay fragment
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