Let c be a smooth path.(a) Suppose F is perpendicular to ϵ^'(t) at the point c(t) Show that ∫ϵ𝐅· d 𝐬=0(b) If 𝐅 is parallel to c^'(t) at c(t), show that ∫e𝐅· d 𝐬=∫e𝐅 d s[By parallel to c^'(t) we mean that .F(c(t))=λ(t) c^'(t), where λ(t) > 0 .]
Let c be a smooth path.(a) Suppose F is perpendicular to ϵ^'(t) at the p…
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