Problems 3-5: 1

Problems 3-7: 1, 2

Problems 3-8: 1, 2, 3

Also:

1. An object, initially at $45^\circ$, is placed in a room held at a constant $70^\circ$. If after 10 minutes the temperature of the object has increased to $50^\circ$, when will object reach a temperature of $60^\circ$?
2. Charcoal from the Lascaux Cave in France had 15% of it's original carbon-14. How old was the charcoal?

Answers:

1. 41 minutes
2. 15,683 years