Chapter 16.2 Review

Question 1

For a line integral, over a curve with parameterization c(t) for a

Answer 1

∫ f(x,y,z)=…

Question 2

What is the formula for vector line integral?

Answer 2

Question 3

What is the arc length differential formula?

Answer 3

Arc length differential formula: ds=||c‘(t)||*dt

To evaluate a scalar line integral, replace f(x,y,z)ds with f(c(t))*||c‘(t)||dt

Question 4

What the fuck is the deal with vector differential?

Answer 4

ds=c‘(t)dt

To evaluate a vector line integral, replace F*ds with F(c(t))*c‘(t)dt

Question 5

If ρ(x,y,z) is the mass or charge density along C, then what is the total mass or charge equal to?

Answer 5

The total charge or mass is equal to the scalar line integral: ∫_Cρ(x,y,z)ds

Question 6

How do I calculate Work using only a line integral exerted on an object along curve C?

Answer 6

The vector line integral is used to compute the work W exerted on object and is given by

W=∫_cF*ds