Respuesta :
Answer:
T(0) = 171 °F
Step-by-step explanation:
We have that the temperature after t minutes is given by:
[tex]T(t) = 71 + 100e^{-0.04t}[/tex]
(a) Find T(0).
Any non-zero value elevated to 0 is 1. So
[tex]T(0) = 71 + 100e^{-0.04*0} = 71 + 100e^{0} = 71 + 100 = 171[/tex]
T(0) = 171 °F
The temperature T (in °F) at t = 0 is 171°F
T(0) = 171°F
Given:
The temperature after t minutes, [tex]T(t)=71+100e^{-0.04t} , t\geq 0[/tex]
(a) Find T(0)
At t = 0, [tex]T(0)=71+100e^{-0.04(0)} = 71+100e^{0} = 171[/tex]
Therefore, The temperature T (in °F) at t = 0 is 171°F
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