MAC2313 Lecture Notes - Lecture 27: Conservative Force, Plane Curve, Curve

• School: Miami Dade College
• Department: Mathematics: Calculus & Pre-Calculus
• Course: MAC2313
• Professor: Staff

Document Summary

13. 3 the fundamental theorem for line integrals notes: sterling. Provide a generalization to each of the key terms listed in this section. For this, it would be best to let c be a smooth curve and can be given by the following vector function: r(t), a t b. If you like f (a function) is a di erentiable function that"s of either 2 or 3 variables with f (the gradient vector) is continuous while on c (a smooth curve), then the following would be created: You actually can say that this theorem"s line integral of f would be considered the actual net change in f (the function). Rc f dr = f (r(b)) f (r(a)) Rc f dr a f (r(t)) r (t) dt. = r b a h f dt ) + f. Z ( dz dt )i dt d dt f (r(t)) dt.