What is the effect of the variable 'u' on the function y=ln(ux) on the shape, domain, range and intercepts of the log graph
1 answer:
Using chain and power rules, dy/dx = 1/x; while dy/du = 1/u. When graphed as y=ln(x), the graph is indicated as per the attached.
It is right to state that the inclusion of the variable 'u' alters the function in that log(x) is a natural logarithm
<h3>What is a natural logarithm?</h3>The natural logarithm of an integer is its logarithm to the root of the irrational and transcendental variable e, which is roughly equal to 2.718281828459.
First there is the input of y = log(ux)
Then, y = log(u) + log (x) - These are al alternate forms deduced based on the assumption that u, x, and y are all positive.
u!=0, x = 1/u
Therefore, the root for the variable u = 1/x
Learn more about natural logarithms at:
brainly.com/question/305900
#SPJ1
You might be interested in
Answer:
x = 22.5°
Step-by-step explanation:
m∠DEA = 2x
DE || AB
m∠EAB = 2x - by Alternate Interior Angles
Exterior angle = 6x, which equals 2x + 4x
m∠BEA = 4x
Exterior Angle 4x = 2x + 2x
m∠B = 2x
2x + 4x + 2x = 180°
8x = 180°
x = 22.5°
<h2>Exterior Angles of a Triangle:</h2>An exterior angle of a triangle is equal to the two REMOTE angles inside the triangle.
In this example, we know that 6x has remote angles of ∠EAB and ∠BEA
We found out that m∠EAB = 2x, so m∠BEA must equal 6x - 2x or 4x
<h2>Sum of angles in a Triangle:</h2>The sum of all angles in a triangle is equal to 180°.
In this example, we found all the angles, 2x, 4x, 2x. We added all of those values to equal 8x
Since the sum of all angles = 180°:
8x = 180°
x = 180°/8
x = 22.5°
-Chetan K
