division to 4 is the last step
Just put your x to equation and you get y.
Ex.
y = -3(-4)+4
y = 12 + 4 = 16
Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.
<h3>Is the given function even, odd or neither?</h3>
Given the function in the question;
g(x) = (4 + x²)/(1 + x⁴)
To determine if the function is even, odd or neither, we find g(-x) by substituting -x for all occurrence of x in the function.
g(x) = (4 + x²)/(1 + x⁴)
g(-1) = (4 + (-x)²)/(1 + (-x)⁴)
Simplify
g(-x) = (4 + x²)/(1 + x⁴)
Hence,
g(-x) = g(x)
Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.
Learn more about even functions here: brainly.com/question/23446734
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Answer:
DL/dt = 17 mph
Step-by-step explanation:
The ships and the port shape a right triangle
Ship going west ( x-direction) is traveling at 15 mph
Ship going north (y-direction) is traveling at 10 mph
The distance L between ships is:
L² = x² + y²
Tacking derivatives on both sides of the equation with respect to time
we get
2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt (1)
In that equation we know:
Dx/dt = 15 mph
Dy/dt = 10 mph
At the moment ship traveling from the east is at 3 miles from the port
then x = 3 m and the other ship is at 4 miles north
then by Pythagoras theorem
L = √ 3² + 4² L = 5
By substitution in equation 1
2*5*DL/dt = 2*3*15 + 2*4*10
10* DL/dt = 90 + 80
DL/dt = 170 / 10
DL/dt = 17 mph
1900 - 1300 = 6,000 more website hits on Tuesday.
