One card from a deck of cards Is selected, it's is replaced, and another card is chosen. What is the probability that the first
1 answer:
You might be interested in
Therefore the maximum value of function f(x,y,z)= =1/27
And the minimum value is 0
<h3>What is function?</h3>function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable) (the dependent variable) (the dependent variable). Mathematics uses functions frequently, and functions are essential for specifying physical relationships in the sciences.
Here,
The function is given as:
f(x,y,z)=
=1
=>-1=0
Using Lagrange multiplies, we have:
L(x,y,z,λ)=f(x,y,z) +λ(0)
Substitute f(x,y,z)= and
-1=0
Differentiate
L(x)=+2λx
L(y)=+2λy
L(z)=+2λz
L(λ)=-1
Equating to 0
+2λx =0
+2λy = 0
+2λz = 0
-1 = 0
Factorize the above expressions
+2λx =0
2x(+λ)=0
2x=0 and (+λ)=0
x=0 and = -λ
+2λy = 0
2y(+λ)=0
2y=0 and (+λ)=0
y=0 and = -λ
+2λz = 0
2z(+λ)=0
2z=0 and (+λ)=0
z=0 and = -λ
So we have ,
x=0 and = -λ
y=0 and = -λ
z=0 and = -λ
The above expression becomes
x=y=z=0
This means that,
=1
x= ±1/
So,
y= ±1/
z= ±1/
The critic points are
x=y=z=±1/
x=y=z=0
Therefore the maximum value of function f(x,y,z)= =1/27
And the minimum value is 0
To know more about function , visit
#SPJ4
Answer:
{
}
{
}
The relation is not a function.
Step-by-step explanation:
By definition, a relation is a function if each input value has only one output value.
Given the relation:
(4,23)
(3,-2)
(-6,5)
(4,6)
The domain is the set of the x-coordinates of each ordered pair (You do not need to write 4 twice):
{
}
The range is the set of the y-coordinates of each ordered pair :
{
}
Since the input value 4 has two different output values (23 and 6), the relation is not a function.