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ale4655 [162]
3 years ago
9

SOMEONE PLEASE HELP. SHOW WORK

Mathematics
1 answer:
kirill [66]3 years ago
8 0
You need to break this into smaller shapes. This shape consists of 4 smaller shapes: 3 triangles and 1 rectangle.

Formulas:
Triangle: A = 1/2 bh
Rectangle: A= bh

Let's start with the triangle on top with the points B, C and D. 
Base = 6
Height = 3

A = 1/2 (6)(3)        
Multiply base by height
A = 1/2 (18)
Multiply.
A= 9

The triangle on the left:
Base= 4
Height = 4

A= 1/2 (4)(4)
A= 1/2 (16)
A= 8

The triangle on the right:
Base= 2
Height= 4

A= 1/2 (2)(4)
A= 1/2 (8)
A= 4

The rectangle in the middle:
Base= 6
Height=4

A= (6)(4)
A= 24

Now add all the areas together:
9 + 8 + 4 + 24 = 45 cm²

Hope this helps! :)

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Answer:

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The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

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\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy

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\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy = \int\limits^1_0 {x^2y} |^1_0 \,dy = \int\limits^1_0 {y} \, dy = \frac{y^2}{2} \, |^1_0 = 1/2

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