Unformatted text preview: e of a car over time. Use the properties of logs and/or exponents to rewrite the model
in the form V (t) = 25ekt .
9. A pork roast was taken out of a hardwood smoker when its internal temperature had reached
180◦ F and it was allowed to rest in a 75◦ F house for 20 minutes after which its internal
temperature had dropped to 170◦ F.22 Assuming that the temperature of the roast follows
Newton’s Law of Cooling (Equation 6.6),
(a) Express the temperature T as a function of time t.
(b) Find the time at which the roast would have dropped to 140◦ F had it not been carved
10. In reference to Exercise 12 in Section 5.3, if Fritzy the Fox’s speed is the same as Chewbacca
the Bunny’s speed, Fritzy’s pursuit curve is given by
y (x) = x2 − ln(x) −
Use your calculator to graph this path for x > 0. Describe the behavior of y as x → 0+ and
interpret this physically.
11. The current i measured in amps in a certain electronic circuit with a constant impressed
voltage of 120 volts is given by i(t) = 2 − 2e−10t where t ≥ 0 is the number of seconds after
the circuit is switched on. De...
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