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.
Bearing in mind that an absolute value expression is in effect a
piece-wise function with two cases, thus
Answer:
Option C. y = -2x + 3
Step-by-step explanation:
When we look at this function we see that it has a negative slope and the y-intercept is equal to (0,3). From this we know that the function we are looking for will be looking like...
y = mx + 3
And as I said earlier since the slope is negative, the only right option is this case will be Option C
Answer:
.14
Step-by-step explanation:
Answer:
Step-by-step explanation:
problem 4
Velocity is +2.0m/s and constant acceleration is -0.5m/s^2
For every second the velocity drop by 0.5 m/s, so after 2 seconds the velocity is 1 m/s.
problem 5
Accelerate from rest to 28m/s means go from 0 to 28m/s so with
a constant acceleration of 5.5 m/s^2 it will take 5.09 second