If there is such a scalar function <em>f</em>, then
Integrate both sides of the first equation with respect to <em>x</em> :
Differentiate both sides with respect to <em>y</em> :
Integrate both sides with respect to <em>y</em> :
Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :
Integrate both sides with respect to <em>z</em> :
So we end up with
Answer:
I hope this image and explanation helps you!
Step-by-step explanation:
All students in the eighth grade were surveyed, so we can make the valid conclusion that 18% of all students in the eighth grade at Lincoln Junior High School have pancakes as their favorite breakfast.
However, the question did not ask about the students' favorite meal of the day, so we cannot draw any valid conclusions about the students' favorite meal.
The valid conclusion:
18% of all students in the eighth grade at Lincoln Junior High School have pancakes as their favorite breakfast, but we cannot conclude anything about the percent of the population who have breakfast as their favorite meal.
Note that
1.
The x-intercepts are at points x=-3, x=0, x=2. The graph should be increasing - decreasing - increasing.
2.
The x-intercepts are at points x=-2, x=0, x=3. The graph should be increasing - decreasing - increasing.
3.
The x-intercepts are at points x=-3, x=0, x=2. The graph should be decreasing - increasing - decreasing.
4.
The x-intercepts are at points x=-2, x=0, x=3. The graph should be decreasing - increasing - decreasing.
From the diagram you can see that x-intercepts are at points x=-3, x=0, x=2 and the graph is decreasing-increasing-decreasing.
Answer: correct choice is 3.