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Mathematics 16 Online
OpenStudy (wade123):

@perl

OpenStudy (perl):

first one is correct , c = 2

OpenStudy (wade123):

:)

OpenStudy (perl):

actually it might be better if we used this equation http://www.ugrad.math.ubc.ca/coursedoc/math100/notes/diffeqs/cool.html

OpenStudy (perl):

T(t) = Ta + (To - Ta) e^(-kt) Ta = ambient or room temp To = temp of object at time zero

OpenStudy (perl):

so here Ta = 70 To = 100 T(t) = 70 + (100 - 70) e^(-kt) and we need to find k

OpenStudy (perl):

the question doesnt make sense, it says egg and then coffee ?

OpenStudy (wade123):

yeah i didnt notice it said coffee.. that really doesnt make sense

OpenStudy (wade123):

if we find k, it would be 79?

OpenStudy (wade123):

what would be my best guess here?

OpenStudy (perl):

T(t) = 70 + 30 e^(-kt) now we are given T(1) = 90 90 = 70 + 30e^(-k*1) 20 = 30 e^(-k*1) (20/30) = e^(-k*1) ln(20/30) = -k*1 k = -ln(20/30)

OpenStudy (perl):

T(t) = 70 + 30e^(-.40546 * t ) T(4) = 75.925925.. to the nearest degree is 76

OpenStudy (wade123):

thank you(: i only have 2 more to check(:

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