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.
3(x+2)-3+x+17=40
3x+6-3+x+17=40
4x+20=40
-20 -20
4x=20
/4 /4
x=5
do you have something you want us to answer or....
Answer:
4
Step-by-step explanation:
Given :
10 grams of 15% sugar syrup;
25 grams of 10% sugar syrup
Therefore,
(10grams * (15/100)) + (25 grams * (10/100))
(10 * 0.15) + (25 * 0.1)
1.5 + 2.5
= 4 grams
Answer:
It's 8.46 cause the preceding digit to 4=5
Hope it helps
Have a good day
