Question: can you help please? 3. A cold drink is removed from a refrigerator set to 5 C and placed in a room set to 20
can you help please?

3. A cold drink is removed from a refrigerator set to 5 C and placed in a room set to 20 C. 1. Set up a differential equation (based on Newton's Law of Cooling) that describes the temperature function C (1)for this beverage (where t is measured in hours and C is measured in degrees Celsius). Write a couple of sentences explaining what the equation means and why it is a reasonable representation of this physical situation. Pretend that you are explaining these ideas to a classmate who needs help. 2. Start to solve that differential equation and solve for one of the unknown constants. Explain, in a sentence, why we need more information to get a specific solution function. 3. Now, suppose that we measure the temperature of the drink 25 minutes after the start, and it has risen to 10 C. Solve for the other unknown constant to get a specific solution function for C(t). 4. Graph this function on desmos. What will the temperature be after 1 hour? When will the temperature reach 18 C? 5. Suppose that when we measured the drink 25 minutes after the start, its temperature had risen to 15 C instead. How do you think that will affect the graph of the solution function C(t)? Will it be lower/higher than the curve you found earlier? Write a couple of sentences explaining your thoughts, and then find that function. Repeat #4 for that function (graph it, find the temperature after 1 hour, find when it reaches 18 C)
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