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II. Integration – 3. Generelle områder 224 Bemærk A(D) ≈ (x ∗ i ,y∗ j )∈D ∆A ≈ 3.36. Nyttig ulighed Sætning (Ulighed om areal) ☞ [S] 12.3 Double integrals over general regions Hvis m ≤ f(x,y) ≤ M så er 11 mA(D) ≤ f(x,y)dA ≤ MA(D) Bemærk Følger af regneregler for integral og arealformlen ovenfor. D 3.37. Et slag på tasken ☞ [S] 12.3 Double integrals over general regions Eksempel 6 Givet funktionen på cirkelskiven Funktionen vurderes sin(x) cos(y) f(x,y) = e D D = {(x,y)|x 2 + y 2 ≤ 4} e −1 ≤ e sin(x) cos(y) ≤ e dA
II. Integration – 4. Koordinatskift 225 Dobbelt integralet vurderes 4. Koordinatskift e −1 4π ≤ e D sin(x) cos(y) dA ≤ e4π 4.1. Oversigt ☞ [S] 12.4, 12.5, 12.7 Nøgleord og begreber ✌ Repetition: Polære koordinater ✌ Lagkagestykker ✌ Koordinatskift ✌ Type II varianten ✌ August 2002, opgave 1 ✌ Populære anvendelser ✌ Flyv højere. . . 4.2. Pol og sigtelinje ☞ [S] Appendix H.1 Polar coordinates Definition
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CALCULUS "SLIDES" TIL CALCULUS 1 +
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3. Generelle områder 201 4. Koordi
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Forord "Slides" til forelæsningern
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I. Differentiation - 1. Kontinuitet
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V. Matricer - 4. Determinanter = (
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Litteratur • Arnold, Ordinary dif
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0-række/søjle, 423 n-te afsnitssu
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Identitetsmatricen, 383 Identitetsm
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