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.
Answer:
What is the question?
Step-by-step explanation:
All of the toys would be given out theoretically and 1 extra of the 5 toys would be given out in total.
Answer:
4 books per week
Step-by-step explanation:
Table
Books per week Week
4 1
8 2
12 3
16 4
20 5
24 6
28 7
32 8
36 9
Answer:
A) y = 5x
B) 2x + y = 14
The easiest way is to substitute (2, 10) into A) and B)
A) 10 = 5 * 2
B) 2 * 2 + 10 = 14
And so (2, 10) IS the solution to those equations.
Step-by-step explanation:
