I assume has counterclockwise orientation when viewed from above.
By Stokes' theorem,
so we first compute the curl:
Then parameterize by
where the -component is obtained from
with and .
Take the normal vector to to be
Then the line integral is equal in value to the surface integral,
Answer:
Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of X.
Step-by-step explanation:
I hope this helps you.
Give the answer, then if they ask for an explanation give the most simple but best explanation you can.
Answer:Yes, it is a function
Explanation:The relation is obtained by squaring the value of x and then adding 3.
This means that the equation would be:
y = x² + 3
Now, taking a look at this equation, we would find that each value of x would have only one value of y.
Since a function is defined as a relation in which each x-value has only one y-value, therefore, the given equation represents a function.
This can be illustrated more by graphing the given relation (graph is shown in the attached image).
You will find a parabola is formed where each x value has only one corresponding y-value.
Hope this helps :)
The statement we end up with, "All people who do not win lotteries are people who do not get lots of mail," is false.
We first find the contrapositive by switching the hypothesis and conclusion and then negating both:
"All people who do not get lots of mail are people who do not win lotteries."
The contrapositive of a true statement is true.
From here we find the converse by switching the hypothesis and conclusion of the newest statement:
"All people who do not win lotteries are people who do not get lots of mail."
This is essentially a negation of the original statement; a negation of a true statement is false.