Answer:
1,2 and 4 are conservatives
3 is not conservative
Step-by-step explanation:
We calculate the Curl F
Remember that:
Curl F = <
>
1. Curl F = <0,0,5-5> = <0,0,0>
The potential function f so that ∇f=F
f(x,y,z) = 
Then F is conservative
2. Curl F = < 0, 0 ,0>
The potential function f so that ∇f=F
f(x,y,z) = 
Then F is conservative
3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>
= <0 ,0 , 10 +3xsin(y) + cos(y)<
How the field's divergence is not zero the vector field is not conservative
4. Curl F = <0, 0, 0>
The potential function f so that ∇f=F
f(x,y,z) = 
Then F is conservative
The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.
<h3>What is a
population model?</h3>
A population model can be represented by the equation:
Where μy is the population mean, β₀ is the y intercept and β₁ is the slope of the line
The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.
Find out more on population parameters at: brainly.com/question/2292917
subtract 5 from both sides to get 3y=42
divide both sides by 3 to get y = 14
So the slope is 5 and you know the points, (0,4)
y-4=5(x-0)
y-4 = 5x
y = 5x + 4 is the slope intercept form
standard form is: -5x + y = 4 OR y - 5x = 4
