In order for <em>F</em> to be conservative, there must be a scalar function <em>f</em> such that the gradient of <em>f</em> is equal to <em>F</em>. This means


Integrate both sides of the first equation with respect to <em>x</em> :

Differentiate both sides with respect to <em>y</em> :

But we assume <em>g</em> is a function of <em>y</em>, which means its derivative can't possibly contain <em>x</em>, so there is no scalar function <em>f</em> whose gradient is <em>F</em>. Therefore <em>F</em> is not conservative.
Answer:
144 meals for customers and 12 meals for employees.
Step-by-step explanation:
156/24=6.5
6 x 24 =144
156-144=12
It adds up to be simple numbers, if it didn't it would make sense. For example, she wouldn't serve 6 and a <u>half</u> people. She would serve either 6 people or 7 people. She wouldn't serve 11.3973043 meals. She would serve either 11 meals or 12 meals.
Answer: The Solution to inequality is _______ (x < -4). A graph of the solution should have______ (A filled-in circle at -4) and should be shaded to the ____ (left)
Hope this helps! Please people give more explantions like this Y'ALL MAKE IT COMPLICATED! :)
150/250! Hope this helps :D
Answer:
The equation of the circle is
(x + 2)² + (y + 2)² = 9
Centered at (-2, -2), with radius of 3 units.
Step-by-step explanation:
The general equation of a circle is given as
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle, and r is the radius.
Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).
The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.
Using these in the general equation, we have
[x - (-2)]² + [y - (-2)]² = 3²
(x + 2)² + (y + 2)² = 9
And this is the equation.