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# Area of region bounded by three parabolas?

These three parabolas were correct responses to an earlier question.

https://answers.yahoo.com/question/index?qid=20190...

x² - 40x - 16y + 144 = 0

9x² + 24xy + 16y² - 360x - 288y + 1296 = 0

9x² - 24xy + 16y² - 360x - 288y + 1296 = 0

The points A(0, 9), B(4, 0), and C(36, 0) lie on all three curves. What is the area of the region on the interior of all three parabolas? Exact answers only, please.

### 2 Answers

Relevance

- billrussell42Lv 72 years ago
I'm not about to go thru all the math.

call them f1, f2, f3 in order

A = ∫f2dx between 0 and 36

– ∫f1dx between 0 and 4

– ∫f3dx between 4 and 36

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