3.8 Homework - Exponential Growth and Decay (Homework)

6. [-/1 Points] DETAILS SCALCET8 3.8.JIT.009.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate g(x) = In(x) at the indicated value of x without using a calculator. X = e-4/3 g(e-4/3) =[ Need Help? Watch It Master It 7. [-/1 Points] DETAILS SCALCET8 3.8.JIT.006. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Express the equation in exponential form. (a) In(2) = x (b) In(y) = 2 Need Help? Watch It8. [-/1 Points] DETAILS SCALCET8 3.8.JIT.001. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Graph the function, not by plotting points, but by starting from the graph of y = e* in the figure below. y = ex - 2 A 4 4 2 2 X -4 -2 2 4 -4 -2 2 4 -2 - 2 -4 -4 O O4 21 2 X X -4 2 4 -2 2 4 -2 -2 -2 -4 -4 O O State the domain and range. (Enter your answers using interval notation.) domain range State the asymptote. Need Help? Watch It Submit Answer9. [-/1 Points] DETAILS SCALCET8 3.8.014. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A curve passes through the point (0, 5) and has the property that the slope of the curve at every point P is twice the y-coordinate of P. What is the equation of the curve? (Use x as the independent variable.) y (x ) = Submit Answer 10. [-/1 Points] DETAILS SCALCET8 3.8.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmosphere by cosmic rays converts nitrogen to a radioactive isotope of carbon, 14C, with a half-life of about 5730 years. Vegetation absorbs carbon dioxide through the atmosphere and animal life assimilates *C through food chains. When a plant or animal dies, it stops replacing its carbon and the amount of 14C begins to decrease through radioactive decay. Therefore, the level of radioactivity must also decay exponentially. A parchment fragment was discovered that had about 74% as much *C radioactivity as does plant material on Earth today. Estimate the age of the parchment. (Round your answer to the nearest hundred years.) | yr Need Help? Watch It