Complete each sentence by choosing the answer(s) that correctly fills in the bla

Question

Complete each sentence by choosing the answer(s) that correctly fills in the blank. If there is more than one correct answer, circle all that apply. (a) relates a vector surface integral (flux integral) to a line integral. (I) FTLI (II) Green's Theorem (Ill) Stokes' Theorem (IV) Divergence Theorem (b) relates a vector surface integral (flux integral) to a triple integral. (I) FTLI (II) Green's Theorem (Ill) Stokes' Theorem (IV) Divergence Theorem (c) is a special case of Stokes' theorem when the field and curve both lie in a plane. (l) FTLI (II) Green's Theorem (Ill) Stokes' Theorem (IV) Divergence Theorem (d) If F is conservative, then for all closed curves C. (I) integral_C F middot dr >0 (II) integral_C Fmiddot dr

Explanation / Answer

Answers

(a) Stoke's theorem (III)

(b) Divergence theorem (IV)

(c) Green's theorem (II)

(d) (III)

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