High School Physics Help: Finding Area Below a Graph | Unity of the Dragons

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A high school student seeks assistance with calculating the area below a graph for a lab assignment after being unable to access a regular physics help forum. The student is specifically looking for guidance on how to determine the area of the shaded region in the provided image. The discussion emphasizes the importance of understanding the method for calculating areas under curves, which may involve integration or geometric formulas depending on the graph's shape. Community members are encouraged to provide clear, step-by-step explanations to aid the student’s understanding. The thread highlights the challenges faced by students in accessing educational resources online.
interXdragon
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Hi guys, I'm a High School student seeking help. The regular physics help forum suspended my IP address from logging on for some reason, so no matter how many accounts I make, it won't let me sign in.

Okay, so my question is: given the picture below, how can I find the area below the graph (in the shaded region) ? It's for a lab that I did in class, but it wasn't until i finished the whole picture that i realized that I didn't know how to calculate the area of this graph.

Thanks.

http://unityofthedragons.org/oker.jpg
 
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I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
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Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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