Answer:
<h2>A reasonable domain is all natural numbers.</h2>
Step-by-step explanation:
Notice that the sequence begins with 3, and it's an infinite sequence, that's the meaning of the three points at the end.
So, a reasonable domain to this sequence, as function, it's all real numbers which follows the rule 
. In other words, the given sequence represents the range of the function, and the domain is defined by the number of terms, where the first term is 3, the second term is 15, and so on.
Therefore, a reasonable domain is all natural numbers.
Answer:
The critical points are 12 and 0.
Step-by-step explanation:
We have that the critical numbers are those values that result from equating the derivative of a function to zero. Also called roots or zeros of the derived function.
IF f is defined in x, it will be said that a is a critical number of f if f '(x) = 0 or if f is not defined in x.
Now the function is:
f (x) = x ^ 2 / (x -6)
we have that the derivative of the quotient is:
(f / g) '= (f' * g - g '* f) / g ^ 2
we replace and we have:
f (x) = [2 * x * (x-6) - 1 * x ^ 2] / (x -6) ^ 2
simplifying we have:
f (x) = [x ^ 2 - 12 * x] / (x -6) ^ 2
this must be equal to 0, like this:
[x ^ 2 - 12 * x] / (x -6) ^ 2 = 0
we solve:
x ^ 2 - 12 * x = 0
x * (x - 12) = 0
Thus:
x = 0
x - 12 = 0 => x = 12
The critical points are 12 and 0.
28=(2+x)+x
-2 -2
_________
26=x+x
26=2x
Divide both by 2
13=x
length=15 width=13
Given:
distance = 5 miles
time = 0.2 hours
speed = ?
Speed = distance / time
Speed = 5mi / 0.2hrs = 25mph
The speed of the lion is 25 miles per hour.
