When an object is removed from a furnace and placed in an environment with a constant temperature of 80°F, its core temperature is 1600°F. One hour after it is removed, the core temperature is 1160°F. (a) Write an equation for the core temperature y of the object t hours after it is removed from the furnace. (Round your coefficients to four decimal places.) y(t) = 80 + 1520e0.3417t
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- The national catch of Atlantic Cod has been declining in the past few decades.We can model this decline with the equationy =-0.003t2 + 0.120t + 1.909 where t is the number of years since 1950 and y is the catch in millions of metric tons.a. In which year did the catch reach its maximum?b. In which year will the catch reach 0?Find the general solution to x”-3x’+2x = e^tA pot of boiling water with a temperature of 100°C is set in a room with a temperature of 20°C. The temperature T of the water after x hours is given by T(x)=20+80e−x. (a) Estimate the temperature of the water after 3 hours. (b) How long did it take the water to cool to 60°C?
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