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IX. Opgaver – 2. Januar 2003 570 2.36. Bestem ekstrema ☞ Matematik Alfa 1, Januar 2003 Opgave 7 - figur (3, 3,9) ( 3,3,9) x z Grafen for f 2.37. Bestem ekstrema ☞ Matematik Alfa 1, Januar 2003 Opgave 7 - alternativt y
IX. Opgaver – 3. Januar 2004 571 Løs bibetingelsen, y = ± √ 18 − x 2 og minimer funktionen Løsning Den afledede er h(x) = f(x, ± 18 − x 2 ) = 18 ± x 18 − x 2 h ′ (x) = 36x − 4x3 2 √ 18x 2 − x 4 De kritiske punkter a = ±3 giver minimumspunkter/værdi 3. Januar 2004 (a,b) = (−3,3),(3, −3), f(a,b) = 9 Opgave 1. Lad T betegne trekanten i xy-planen med hjørner (1,1),(2,2) og (1,2) (tegn !). 1) Opstil et itereret integral til beregning af dobbeltintegralet f(x,y) dA (hvor f er en vilkårlig kontinuert funktion). T
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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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I. Differentiation - 2. Partielle a
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I. Differentiation - 3. Tangentplan
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I. Differentiation - 4. Kædereglen
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I. Differentiation - 5. Gradient 88
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I. Differentiation - 6. Maksimum/mi
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I. Differentiation - 7. Lagrangemet
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II. Integration - 1. Dobbelt integr
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II. Integration - 2. Itereret integ
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II. Integration - 3. Generelle omr
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II. Integration - 4. Koordinatskift
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III. Potensrækker - 1. l’Hospita
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III. Potensrækker - 2. Talfølger
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III. Potensrækker - 3. Potensrækk
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III. Potensrækker - 4. Taylorpolyn
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1. Grafiske/numeriske metoder IV Di
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IV. Differentialligninger - 1. Graf
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IV. Differentialligninger - 2. 1. o
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IV. Differentialligninger - 3. Gene
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1. Vektorer og matricer V Matricer
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V. Matricer - 1. Vektorer og matric
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V. Matricer - 2. Lineære afbildnin
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V. Matricer - 3. Lineære ligninger
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V. Matricer - 4. Determinanter 419
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V. Matricer - 4. Determinanter = (
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1. Egenvektorer VI Egenvektorer og
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VI. Egenvektorer og diagonalisering
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VII. Skalarprodukt og projektion -
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VIII. Appendiks - 1. Polære koordi
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