Answer:
- (a) no
- (b) yes
- (c) no
- (d) no
Step-by-step explanation:
"Of the order x^2" means the dominant behavior matches that of x^2 as x gets large. For polynomial functions, the dominant behavior is that of the highest-degree term.
For other functions, the dominant behavior will typically be governed in some other way. Here, the rate of growth of the x·log(x) function is determined by log(x), which has decreasing slope as x increases.
Only answer selection B has a highest-degree term of x^2, so only that one exhibits O(x^2) behavior.
It can either be the negative sign of the number by the x so it should either be 2 or -
Answer:
-7 - 3a = 1 – 4a
Step one: Add 4a to -3a
-7 + a = 1
Step two: Add 7 to 1
A = 8
You're done! A=8 for this problem!
Hopefully this helps! Feel free to mark brainliest!
Answer:
Step-by-step explanation:
When the interest compounds continuously, our formula is
If we start with 10000 and are looking for how long, t, it takes to double, we are looking for how long it will take for our account to have 2 times 10000. That's 20000. Therefore, our equation is
Divide both sides by 10000 to get
Take the natural log of both sides to "undo" that e:
Again, since ln and e undo each other what we have now is
ln(2) = .11t and
so
t = 6.3 years
Answer:
= <em>1</em><em>4</em>
Step-by-step explanation:
So my way of doing it is to simply put 20% in decimal so
20= 0.20
Then multiply that by 70
0.20× 70 = 14%
There are probably other ways to do it but I find this way easier
