• anonymous
It’s Amanda’s birthday and Shane is baking her a cake. He takes the cake out of the 350◦ F oven into the room with temperature of 65◦ F . The cooling of the cake is modeled by the following equation: T (t) = T_r + (T_0 − T_r )e^kt , where T (t) is the temperature of the cake t minutes after it has been taken out of the oven, Tr is the temperature of the cake’s present surroundings and T0 is the cake’s initial temperature. In 3 minutes, the cake cools off down to 325◦ F . (a) Write a model for the temperature of the cake. Find the constant k. (b) What is the temperature of the cake after 1 hour?
  • katieb
I got my questions answered at in under 10 minutes. Go to now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly


Get your free account and access expert answers to this
and thousands of other questions

  • dumbcow
plug in all the given information to solve for k T(t) = 325 T_0 = 350 T_r = 65 t = 3 \[325 = 65 +(350-65)e^{3k}\]
  • anonymous
a negative answer for k (-.031), would be correct?
  • anonymous
and for part b) would if look like this: T(t) = 65 + (350-65)e^(60k) ?

Looking for something else?

Not the answer you are looking for? Search for more explanations.