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:
Ten times a number minus 3 is greater than three times the number plus eleven
Step-by-step explanation:
we have the inequality
10x-3 > 3x+11
Let
x ----> a number
As a word problem will be
10x -----> Ten times a number x
+ ----> plus
-3 -----> negative 3
> greater than
3x ----> three times a number x
11 ----> eleven
therefore
Ten times a number minus 3 is greater than three times the number plus eleven
Answer:
8
Step-by-step explanation:
Absolute value is always the positive value of a number.
Answer:
3.24m
Step-by-step explanation:
SOH
sin(26)=O/7.4
O=7.4 sin(26)
O=3.24 (3sf)