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3 years ago

14

I tent was marked up 180% from an original cost of $54.20. Last Friday, Mimi bought the tent and paid an additional 12.5% in sal

es tax. What was her total cost?

1 answer:

ira [324]3 years ago

5 0

Answer:

S:tep-by-step explanation

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Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of

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<span>Let r(x,y) = (x, y, 9 - x^2 - y^2)

So, dr/dx x dr/dy = (2x, 2y, 1)

So, integral(S) F * dS
= integral(x in [0,1], y in [0,1]) (xy, y(9 - x^2 - y^2), x(9 - x^2 - y^2)) * (2x, 2y, 1) dy dx
= integral(x in [0,1], y in [0,1]) (2x^2y + 18y^2 - 2x^2y^2 - 2y^4 + 9x - x^3 - xy^2) dy dx
= integral(x in [0,1]) (x^2 + 6 - 2x^2/3 - 2/5 + 9x - x^3 - x/3) dx
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= 28/5 + 40/9 - 1/4
= 1763/180 </span>

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3 years ago

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pashok25 [27]

It's difficult to make out, but I think the task is to expand

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and converting back to Cartesian form, this number is equivalent to

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