Let
The curl is
where denotes the partial derivative operator with respect to . Recall that
and that for any two vectors and , , and .
The cross product reduces to
When you compute the partial derivatives, you'll find that all the components reduce to 0 and
which means is indeed conservative and we can find .
Integrate both sides of
with respect to and
Differentiate both sides with respect to and
Now
and differentiating with respect to gives
for some constant . So
Answer:
This is a -29.6% change
Step-by-step explanation:
To find the percent change, use the percent change equation.
(New - Old)/(Old) * 100 = Percent Change
(126 - 179)/(179) * 100 = Percent Change
-53/179 * 100 = Percent Change
-.296 * 100 = Percent Change
-29.6% = Percent Change
Answer:
They wore animal skins for clothing
Step-by-step explanation:
<span>14/23, or approximately 60.87%
Since the first ball is replaced before the second is drawn, the two events are independent. And the probability of the second ball being purple is the percentage of the balls that are purple in the urn. The total number of balls is 9+14 = 23 and 14 of those balls are purple, so
14/23 = probability of the second ball drawn being purple. It's approximately 0.608695652, or 60.87%</span>