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Look for the simplest solution first. y=x will solve the value but not the arc length since the length is sqrt(2). Next level up, y=ax(x-1), solves both conditions. Now you have control over the constant a. y=ax^2-ax y'=2ax-a (y')^2=4a^2x^2-4a^2x+a^2 You can go from there and calculate arc length. Then set up an inequality INT[0,1,sqrt(1+(y')^2 dx)] > 2.5 and you will find a relationship that gives you a...

2 water boils faster when you add salt to it. The other two are subjective preferences.

total moles = 3.35 + 6.38 + 4.18= 13.91 6.38 / 13.91 = partial pressure N2 / 547 partial pressure N2 = 251 mm Hg

If you actually believe it will end in 2012, maybe not. But not because the world is going to end. It won't.

Shorter.

find moles: 0.045 litres @ 1.3 mol / litre = 0.0585 moles of NaCl find mass, using molar mass: 0.0585 moles of NaCl @ 58.44 g/mol = 3.419 grams of salt your answer is 3.4 grams of NaCl

They came in for a reason. Either they find food there, or it's simply warmer there than outside. Probably the latter, since they will be looking to winter over in there.

Planets ORBIT the sun. Moons ORBIT planets. The planets are caught in the gravitation field of the sun. The moons are caught in the gravitational field of the planets. Pluto has not gotten close enough to a planet to get caught up in its gravitational field. Revolve pertains rotate or spin, (not orbit) as in a planet revolves on it's own axis.

Not gonna happen. Really common question. End of Days kooks and the very gullible

a) Since 4 and 3x are not constant multiples of one another and the DE is of degree two, {4, 3x} is a fundamental set of solutions for y'' = 0. The general solution is y = A * 4 + B * (3x) for some constants A and B. b) Since -3e^(-2x) and e^(-2x) are constant multiples of one another and the DE is of degree two, {-3e^(-2x), e^(-2x)} is not a fundamental set of solutions for y''+4y'+4y = 0. I hope...