You are driving north and it gets colder and colder as you go. Let T(x) be the termperature (in Farenhhiet) x miles north of Golden, CO. Let s(t) be the distance (in miles) you've driven after t hours of driving. a) Explain the meaning of s'(3) = 80. b) Explain the meaning of the sentence T(160) = 55 c) Explain the meaning of the sentence T'(160) = -0.05.
You are driving north and it gets colder and colder as you go. Let T(x) be the termperature (in Farenhhiet) x miles north of Golden, CO. Let s(t) be the distance (in miles) you've driven after t hours of driving.
a) Explain the meaning of s'(3) = 80.
b) Explain the meaning of the sentence T(160) = 55
c) Explain the meaning of the sentence T'(160) = -0.05.
d) After 3 hours of driving, how fast is the temperature chainging with repect to time use the values from previous parts of this question)?
e) State what the chain rule gives for the derivative of g'(3)). Explain how this question illustrates the chain rule.
f) Verify the units of part (b) match the units obtained from the chaion rule of part (h).
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