so we have those critical values, which gives us the intervals of (-∞, 0] , [0, 6] and [6, +∞).
where is it increasing or decreasing? well, that's just a matter of checking a value on each region for the the first derivative, namely the first derivative test.
we can check for f(-1) = 12(-1)² - 72(-1), is a positive value, increasing.
and check f(1) = 12(1)² - 72(1), is a negative value, decreasing.
and check f(7) = 12(7)² - 72(7), positive, so increasing.
check the picture below, and you can see there which are the minima or maxima.
Answer:
The mammoth died 17.190 years ago.
Step-by-step explanation:
Given information:
- Half-life of C-14 is 5.700 years.
- Living elephant bones commonly contain about 40% C-14.
For every 5700 years, the elephant's bones losses a half-life of C-14. And supposing that the living mammoth bones had the same percentage of C-14.
If the mammoth when living has 40%, then:
- After 5.730 years, the mammoth bones will contain 20%.
- After 11.460 years(2 half-lives), the mammoth bones will contain 10%.
- After 17.190 years(3 half-lives), the mammoth bones will contain 5%.
The number 20 has TWO square roots which are -20 and 20.....I hope this helps!!! Have a great day!!
Answer:
A
Step-by-step explanation:
