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Readme [11.4K]
2 years ago
5

Jason paints 1/4 of the area of his living room walls, w, on Monday. On Tuesday, he paints twice as much as he painted on Monday

. Jason's living room has 210 square feet of wall. How much wall is left to paint?
Mathematics
1 answer:
Lostsunrise [7]2 years ago
6 0
26 and 1/4 square feet
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Compute the flux H F of F(x,y) = hxy, x − yi across the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1.
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Answer:

4i.

Step-by-step explanation:

To find the flux through the square, we use the divergence theorem for the flux. So Flux of F(x,y) = ∫∫divF(x,y).dA

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So, ∫∫divF(x,y).dA = ∫∫(hy - i).dA

= ∫∫(hy - i).dxdy

= ∫∫hydxdy - ∫∫idxdy

Since we are integrating along the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1, then

∫∫divF(x,y).dA = ∫₋₁¹∫₋₁¹hydxdy - ∫₋₁¹∫₋₁¹idxdy

= h∫₋₁¹{y²/2}¹₋₁dx - i∫₋₁¹[y]₋₁¹dx

= h∫₋₁¹{1²/2 - (-1)/2²}dx - i∫₋₁¹[1 - (-1)]dx

= h∫₋₁¹{1/2 - 1)/2}dx - i∫₋₁¹[1 + 1)]dx

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= - 2i[x]₋₁¹

= 2i[1 - (-1)]

= 2i[1 + 1]

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= 4i  

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2 years ago
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Answer:

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Only 6 of the 75 trees in a park are at least 30 feet tall. What percent of the trees are under 30 feet tall?
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The aquarium has 10 more red fish than blue fish. 60 percent of the fish are red. How many blue fish are in the aquarium?
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Answer:

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