The extreme values of the function f(x) = x - 4sqrt(x) occur at the values of x for which f'(x) = 0
f'(x) = 1 - 2/sqrt(x) = 0
sqrt(x) - 2 = 0
sqrt(x) = 2
x = 4
To check for minimum or maximum,
f''(x) = 1/(sqrt(x))^3 = 1/(sqrt(4))^3 = 1/(2^3) = 1/8 => the point is a minimum.
Therefore, the minimum value = f(4) = 4 - 4sqrt(4) = 4 - 4(2) = 4 - 8 = -4 and occurs at x = 4.
Answer:
x = 54
Step-by-step explanation:
x - 21 = 33
x = 33 + 21
The answer will be that out of 36 boys 24 speak french and 12 speak german and out of 24 girls 16 speak french and 8 speak german.
<h3>What is the frequency tree?</h3>
In the question we have that there are 60 students in total out of which 36 are boys:
So number of the girls will be = 60-36=24
Now if 2/3 of the boys speak french the number of the boys who speak french will be = (2÷3)x36=24
Now the number of the boys who speak german will be =36-24=12
Now since 40 students study french so we have the number of the boys who speak french is 24. so the number if the girls who speak french will be =40-24=16
Since there are 24 girls in total and out of them 16 speak french so the remaining girls speak german=24-16=8
Hence answer will be that out of 36 boys 24 speak french and 12 speak german and out of 24 girls 16 speak french and 8 speak german.
To know more about the Frequency tree follow
brainly.com/question/27562195
#SPJ1
Answer:
Below.
Step-by-step explanation:
log 10 (
100
) = 2
