The key idea is that, if a vector field is conservative, then it has curl 0. Equivalently, if the curl is not 0, then the field is not conservative. But if we find that the curl is 0, that on its own doesn't mean the field is conservative.
1.

We want to find
such that
. This means



so
is conservative.
2.

Then




so
is conservative.
3.

so
is not conservative.
4.

Then




so
is conservative.
Answer:
Step-by-step explanation:
Answer:
The car was travelling at a speed of 60 miles per hour.
Step-by-step explanation:
Given:
Distance traveled = 330 miles
Time Period = 
we need to find the speed of the car .
Solution:
Time Period = 
Now we can say that;

So Time period = 
Now we know that;
Distance traveled
is equal to Speed
multiplied by Time Period
.
framing in equation form we get;

Dividing both side by 5.5 we get;

Hence The car was travelling at a speed of 60 miles per hour.
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2,3)
m =
=
= 2 , thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line