(Solution Library) Let C be the closed curve obtained by intersecting the paraboloid z=x^2+y^2 with the plane x+y+z=1 oriented clockwise when seen "from above".
Question: Let \(C\) be the closed curve obtained by intersecting the paraboloid \(z=x^{2}+y^{2}\) with the plane \(x+y+z=1\) oriented clockwise when seen "from above". Let \(\mathbf{F}:=z\mathbf{i}=y(x+z)\mathbf{j}=z(x+y)\mathbf{k}.\) Compute \(\int_{C} \mathbf{F} \cdot d \mathbf{r}\).
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![[Solved] Crickets make their chirping sounds by](/images/solutions/MC-solution-library-46788.jpg "[Solved] Crickets make their chirping sounds by rapidly sliding one")
[Solved] Crickets make their chirping sounds by rapidly sliding one
Solution: Consider the following data on energy consumption.
![[Steps Shown] It is believed that the](/images/solutions/MC-solution-library-46790.jpg "[Steps Shown] It is believed that the more alcohol there is in an")
[Steps Shown] It is believed that the more alcohol there is in an
(Step-by-Step) Examine the data below. The states with the best SAT
![[Steps Shown] Metabolic rate, the rate at](/images/solutions/MC-solution-library-46792.jpg "[Steps Shown] Metabolic rate, the rate at which the body consumes")
[Steps Shown] Metabolic rate, the rate at which the body consumes
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