
is conservative if there is a scalar function
such that
. This would require



(or perhaps the last partial derivative should be 4 to match up with the integral?)
From these equations we find





so
is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:


128 ounces in a gallon
128 divided by 4. Gives you 32 bowls of cereal
Step-by-step explanation:
A regular n-sided polygon has n axes of symmetry. The angle between two consecutive axes is 360° / n.
In the case of an octagon, the angle is 360° / 8 = 45°.
Answer:
y = 1/2x - 9/2
Step-by-step explanation:
That's the answer to your question.