Homework Help Overview
The problem involves a yam placed in an oven at a constant temperature of 250 degrees Celsius. After 30 minutes, the temperature of the yam is recorded at 150 degrees Celsius, with a rate of increase of 3 degrees Celsius per minute. The temperature is modeled by the equation T(t)=250-ae^(-bt), and the task is to find the constants a and b.
Discussion Character
- Exploratory, Assumption checking, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss the values of T(30) and T'(30) and how these can be utilized to determine a and b. There is a reference to Newton's law of cooling as a potential guiding principle. One participant attempts to derive the value of b using the given temperature conditions and seeks clarification on how to subsequently find a.
Discussion Status
The discussion is active, with participants exploring various approaches to find the constants a and b. Some guidance has been offered regarding the use of temperature values and the application of Newton's law of cooling. There is no explicit consensus yet, as participants are still working through the problem.
Contextual Notes
Participants are navigating the constraints of the problem, including the specific temperature readings and the rate of change provided. There is an emphasis on deriving values from the model without providing complete solutions.
