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Re: 1.96  Can definitions be wrong?
Posted:
Jul 7, 2014 3:35 PM


On Monday, July 7, 2014 2:41:39 PM UTC4, John Gabriel wrote: > Example for morons: > > > > The distance function is given by s(t)= 50t+3. > > > > Using the New Calculus, answer the following questions: > > > > 1. Find an equation for the speed at any given time t. > > 2. What can you say about the speed at any given time t? > > > > Soln: > > > > 1. v(t)=s'(t)= {s(t+n)s(tm)}/(m+n) = { 50(t+n)+3  [50(tm)+3] } / (m+n) > > = { 50t+50n+3  50t+50m3 } / (m+n) > > = 50(m+n)/(m+n)=50 > > > > So equation for speed at any given time t is: v(t)=50 > > > > 2. The speed is constant.
v(t) is the first derivative of s(t). Are you now saying that the derivative of a linear function is defined after all?
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