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December 19, 2014

December 19, 2014

Posted by **matt** on Wednesday, November 26, 2008 at 12:59pm.

I. The object's altitude is a function of time, represented by the function A(x) where here x is time.

II. The temperature of the object is a function of its velocity, represented by the function T(x), where here x is the object's velocity.

III. The weight of the object is a function of its altitude, represented by the function W(x), where here x is the object's altitude.

IV. The velocity of the object is a function of its weight, represented by the function V(x), where here x is the object's weight.

The function F(t) which gives us the object's temperature at time t can be represented as

- calculus -
**Damon**, Wednesday, November 26, 2008 at 1:26pmTo keep track of all that I need to use different variable labels that make more sense to me.

A(t)

T(v)

w(A)

v(w)

Now we want T(t)

T(v)= T(v(w))

but v(w) = v(w(A))

so

T(A) = T(v(w(A)))

but w(A) = w(A(t))

so

T(t) = T(v(w(A(t)))) which is our F(t)

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