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.
B and C make sense to me.
Answer:
The size of the scale model is 60 centimeters.
Step-by-step explanation:
Given that the length of a boat is 10.8 m, and Boris buys a scale model of the boat whose ratio is 1 to 18, to determine the length of the scale model of the boat in centimeters the following calculation must be performed:
1m = 100cm
10.8 m = (10.8 x 100) = 1080 cm
1080/18 = X
60 = X
Therefore, the size of the scale model is 60 centimeters.
Answer:
C
Step-by-step explanation:
If this was an equation...
(x-3)(x+5) = 0
x = 3, -5
So 3 and -5 are the minimum and the maximums.
So we convert that into an inequality.
-5 <= x <= 3
1. d = -9
2. m = -15
Hope this helped! (:
