4 '6 +x== (x)/| 4 %3D 8. Given the function defined as: 8(x) = --x+9, 0 < x < 9 3 a. The graph is given. You are interested in finding the maximum area of any rectangle that can be inscribed in the triangle. Inscribed means that all 4 vertices of the rectangle must lie on the triangle. The rectangle that is drawn is one of many possible inscribed rectangles. Consider it an arbitrary rectangle. 10- What value of x will give the rectangle its maximum area? -5- -5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4
f(x) =-x+ 9,
- 9< x< C
4
8. Given the function defined as: 8(x) = --x+9,
3
0 < x < 9
a. The graph is given. You are interested in finding the maximum area of any rectangle that
can be inscribed in the triangle. Inscribed means that all 4 vertices of the rectangle must lie
on the triangle. The rectangle that is drawn is one of many possible inscribed rectangles.
Consider it an arbitrary rectangle.
What value of x will give the rectangle its
maximum area?
5-
-5
Transcribed Image Text:4 f(x) =-x+ 9, - 9< x< C 4 8. Given the function defined as: 8(x) = --x+9, 3 0 < x < 9 a. The graph is given. You are interested in finding the maximum area of any rectangle that can be inscribed in the triangle. Inscribed means that all 4 vertices of the rectangle must lie on the triangle. The rectangle that is drawn is one of many possible inscribed rectangles. Consider it an arbitrary rectangle. What value of x will give the rectangle its maximum area? 5- -5
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