Answer
61.6º
Step-by-step explanation:
The function is written as:
f(x) = log(-20x + 12√x)
To find the maximum value, differentiate the equation in terms of x, then equate it to zero. The solution is as follows.
The formula for differentiation would be:
d(log u)/dx = du/u ln(10)
Thus,
d/dx = (-20 + 6/√x)/(-20x + 12√x)(ln 10) = 0
-20 + 6/√x = 0
6/√x = 20
x = (6/20)² = 9/100
Thus,
f(x) = log(-20(9/100)+ 12√(9/100)) = 0.2553
<em>The maximum value of the function is 0.2553.</em>
The formula is V = 0.5 X b X a X h.
Plug in numbers X is a multiplication sign
We knownthe equation of a line is y = mx + b. where m is slope and b is y intercept.
the point slope equation of a line is y - y1 = m (x - x1)
plug in x1 and y1 and m
y- (5) = (3)(x - (-1))
y - 5 = 3x + 3
y = 3x + 8
Answer:
y = -2x -2
x + 2y = 2
2x + y = -2 } x1
x + 2y = 2 } x2
2x + y = -2 } we eliminate 2x
2x + 4y = 4 } same signs subtract and different add respectively
-3y = -6
-3 -3
y = 2 (x , 2) we reserve
2x + (2) = -2 we take on the first equation and replace 2 on a coordinate for y
2x = -2 - 2
2x = -4
2 2
x = -2 (-2,2)
x y
