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IgorC [24]
3 years ago
13

Adam is building a rectangular swimming pool. The perimeter of the pool must be no more than 120 feet. If the length of the pool

is 22 feet, write and solve an inequality that represents what the width of the pool must be
Mathematics
1 answer:
Orlov [11]3 years ago
5 0

2(22 + w) \leq 120

22 + w \leq 60

w \leq 38

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Answer:

Solution given:

The volume of two similar solids are 128 m³

and 250 m³.

surface area of larger solid is 250m²

<u>let</u><u> </u><u>surface</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>smaller</u><u> </u><u>solid</u><u> </u><u>be</u><u> </u><u>x</u><u>.</u>

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Show that ( 2xy4 + 1/ (x + y2) ) dx + ( 4x2 y3 + 2y/ (x + y2) ) dy = 0 is exact, and find the solution. Find c if y(1) = 2.
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\dfrac{\partial\left(4x^2y^3+\frac{2y}{x+y^2}\right)}{\partial x}=8xy^3-\dfrac{2y}{(x+y^2)^2}

so the ODE is indeed exact and there is a solution of the form F(x,y)=C. We have

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\boxed{x^2y^3+\ln(x+y^2)=8+\ln9}

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