Answer:
180°
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 definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point.
Answer:
The answer to your question is: 4x²y³
Step-by-step explanation:
Simplify ∛(-64x⁶y⁹)
First, find the prime factors of 64
64 2
32 2
16 2
8 2
4 2
2 2
1 then 64 = 2⁶
∛ (-2⁶x⁶y⁹)
Roots can be expressed as fractional powers where the numerator is the power of the number inside the root and the denominator is the root.
Ex. -2 ⁶/³ x⁶/³ y⁹/³
Now simplify
(-2)² x² y ³
Finally
4x²y³
