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Art [367]
2 years ago
11

I don't understand this question at all please help if you do

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
7 0

Answer:

Answer is \frac{4}{3}

Step-by-step explanation:

To find the interval of x. Use our equations to equal each other.

-x^2+2x=y,y=0

-x^2+2x=0\\-x(x-2)=0\\-x=0 , (x-2)=0\\x=0 ,2

\int\limits^2_0 {-x^2+2x} \, dx

Integrate.

\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3}  =4/3

Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.

Proof Check your interval of x.

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Answer:Simplifying

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