please answer to the questions in the attachment....

Dinosaur fossils are too old to be reliably dated using carbon-14, which has a halflife of about 5730 years. Suppose we had a 66 million year old dinosaur Fossil. How much of the living dinosaur's 1"C would be remaining today? (Round your answer to Five decimal places.) % Suppose the minimum detectable amount ls 0.5%. What Is the maximum age of a fossil that we could date using 1\"(2?{Rouncl your answer to the nearest Integer.) yr Dinosaur fossils are oiten dated by using an element other than carbon. like potassium-40, that has a longer half life (in this case, approximately 1.25 billion years). Suppose the minimum detectable amount is 0.1% and a dinosaur is dated with 40K to be 67 million years old. Is this possible? C: Yes, it is possible to date this fossil with \"K. C- No, it is not possible to date this fossil with \"OK. What is the maximum age of a Fossil that we could date using 40K? (Round your answer to one decimal place.) billion yr The dynamics of an age-structured population are modeled In a later section. For oertain parameter values the long-term per capita growth rate of the population is given by r = i\" + \\/ 1 + 55), where 5 Is the annual survival probability of juveniles. (a) Approximate the growth rate with a Taylor polynomial of degree one (linear approximation) centered at Ci. 71(5) = (b) Approximate the growth rate with a Taylor polynomial of degree two centered at 0. 72(5) =