Question
In: Advanced Math
Basic properties of growth rates. Use the fact that the growth rate of a variable equals...
Basic properties of growth rates. Use the fact that the growth rate of a variable equals the time derivative of its log to show:
(a) The growth rate of the product of two variables equals the sum of their growth rates. That is, if Z(t) = X(t)Y(t), then Ż(t)/Z(t) = [Ẋ(t)/X(t)] + [Ẏ(t)/Y(t)].
(b) The growth rate of the ratio of two variables equals the difference of their growth rates. That is, if Z(t) = X(t)/Y(t), then Ż(t)/Z(t) = [Ẋ(t)/X(t)]−[Ẏ(t)/Y(t)].
(c) If Z(t) = aX(t)α, then Ż(t)/Z(t) = αẊ(t)/X(t).
Solutions
Colby Messinger answered 2 years agoRelated Solutions
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differences, seen. Together, electricity and magnetism can be
combined to form the more general theory of electromagnetism -
seeing that electricity and magnetism can be seen as "opposites
sides of the same coin."
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common case of electrostatic equilibrium of a conductor. Here
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