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**Unformatted text preview: **asymptote at x = 100 mean within the context of the problem?
(c) What percentage of the Ippizuti ﬁsh can you remove for $40000?
6. Translate the following into mathematical equations.
(a) At a constant pressure, the temperature T of an ideal gas is directly proportional to its
volume V . (This is Charles’s Law)
(b) The frequency of a wave f is inversely proportional to the wavelength of the wave λ.
(c) The density d of a material is directly proportional to the mass of the object m and
inversely proportional to its volume V .
(d) The square of the orbital period of a planet P is directly proportional to the cube of the
semi-major axis of its orbit a. (This is Kepler’s Third Law of Planetary Motion )
(e) The drag of an object traveling through a ﬂuid D varies jointly with the density of the
ﬂuid ρ and the square of the velocity of the object ν .
(f) Suppose two electric point charges, one with charge q and one with charge Q, are positioned r units apart. The electrostatic force F exerted on the charges varies directly with
the product of the two charges and inversely with the square of the distance between
the charge...

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