a. You discover preserved wood in a pre-historic cave in Asia. You analyze the wood and discover that it contains both carbon-14 (C-14), a radioactive isotope of carbon, and Nitrogen-14(N-14), its decay product. Analysis shows that the C14 represents 1/1000 of its initial amount when the wood was formed. If the half-life of on is 5,730 years (not the value indicated in the lecture 3 slides, which was incorrect), when was this wood deposited into the cave? Show calculations. b. The half-life of Carbon-14 is very short. If the wood had been twice as old as your estimate, what alternative radiometric dating strategies would you consider, and why? Posit potential pros and cons of using different radiometric dating techniques