kreyszig engineering mathematics 10th edition, Exercises of Engineering Mathematics

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Ex) (^) 𝑉 𝑡 1 , 𝑡 2 ൌ ሾ𝑎 cos 𝑡 1 , 𝑎 sin 𝑡 1 , 𝑡 2 ሿࢊ 때 డ𝑉 డ𝑡భ

డ𝑉 డ𝑡మ

Ex) (^) ࢺ 𝑃ሺ 2 , 1 , 3 ሻ에서 벡ਫ਼ a ൌ ሾ 1 , 0 , െ 2 ሿࢂ로ࡳ방ଯ 𝑓 𝑥, 𝑦, 𝑧 ൌ 2 𝑥 2 ൅ 3 𝑦 2 ൅ 𝑧 2 ࢂ 방ଯ도ଡ수 구ଜ기

Ex) (^) 𝑉 ൌ ሾ𝑦𝑧, 3 𝑧𝑥, 𝑧ሿࢂ 발산과 ୣࢷ 구ଜ기

Ex) (^) 𝐅 𝐫 ൌ െ𝑦, െ𝑥𝑦 , ࢂ아래 경로 𝐶에 대ଞ 선ࢶ분 (^) ׬ 𝐶

Ex) (^) 𝐅 𝐫 ൌ 𝑥𝑦, 𝑦𝑧, 𝑧 , 𝐶: 𝑟 𝑡 ൌ cos 𝑡 , sin 𝑡 , 3 𝑡 , 0 ൑ 𝑡 ൑ 2 𝜋 에 대ଞ ࢶ분