Question

1. A roast turkey is taken from an oven when its temperature has reached 185°F and...

1. A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F. (Round your answer to the nearest whole number.)

(a) If the temperature of the turkey is 150°F after half an hour, what is the temperature after 60 minutes?
T(60) =  °F

(b) When will the turkey have cooled to 95°?
t =  min

2. Let c be a positive number. A differential equation of the form below where k is a positive constant, is called a doomsday equation because the exponent in the expression ky1+c is larger than the exponent 1 for natural growth. An especially prolific breed of rabbits has the growth term ky1.01. If 4 such rabbits breed initially and the warren has 28 rabbits after three months, then when is doomsday? (Doomsday is the finite time t=T such that . Round the answer to two decimal places.)

ANS in months

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