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.
Parallel are two equations that have the same slope but different y intercepts.
If the y intercepts are also the same, it is just the same line.
Answer:
w = 3
Step-by-step explanation:
8 • (w + 2) - 40 = 0
Pulling out like terms :
3.1 Pull out like factors :
8w - 24 = 8 • (w - 3)
Equation at the end of step 3 :
8 • (w - 3) = 0
Step 4 :
Equations which are never true :
4.1 Solve : 8 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
4.2 Solve : w-3 = 0
Add 3 to both sides of the equation :
w = 3
One solution was found :
w = 3
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31/7 = 4 3/7.....3/7 is less then 1/2....so the closest integer is 4
Answer: c=19 and n=4
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