A yam baking in the oven: A yam is placed in a preheated oven to bake.An application of Newton’s law of cooling gives the temperature Y, in degrees, of the yam t minutes after it is placed in the oven...

A yam baking in the oven: A yam is placed in a preheated oven to bake.An application of Newton’s law of cooling gives the temperature Y, in degrees, of the yam t minutes after it is placed in the oven as

a. Make a graph of the temperature of the yam at time t over 45 minutes of baking time.

b. Calculate dY dt at the time 10 minutes after the yam is placed in the oven.

c. Calculate dY dt at the time 30 minutes after the yam is placed in the oven.

d. Explain what your answers in parts b and c tell you about the way the yam heats over time.