SOLUTION: Please Help,
Estimate the area under the curve { { { f(x)= -x^2+4x+4.25 over 0 <= x <= 5 } } } . Use 5 intervals.
I tried to graph it on a graphing calculator first, but I thi
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Question 302713: Please Help,
Estimate the area under the curve { { { f(x)= -x^2+4x+4.25 over 0 <= x <= 5 } } } . Use 5 intervals.
I tried to graph it on a graphing calculator first, but I think it was wrong because I can't enter 0 <= x <= 5. Here is the link of the graphed equation: http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html
Thanks for the help :)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You didn't specify a method.
Break up the area into 5 regions.
Calculate an average value of f(x) and the right and left endpoint.
Then multiply the average value of f(x) by dx in each region.
,
,
,
,
,
,
SO then area 1 equals,
The exact value is so that's a pretty good approximation (within 3%).
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