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IX. Opgaver – 2. Januar 2003 562 Restvektoren v − projU(v) = (0,1,0,5) − (0, 5 2 , −3 2 ,2) = (0, −3 3 2 , 2 ,3) har længde, som angiver den mindste afstand fra v til U ||v − u|| = ||(0, −3 2 27 = 2 = 3√ 6 2 , 3 2 ,3)|| 2.23. Beregn projektion ☞ Matematik Alfa 1, Januar 2003 Opgave 4 - figur
IX. Opgaver – 2. Januar 2003 563 v v u ∈ U ⊥ u = projU(v) Ortogonal projektion på underrum 2.24. Løs differentialligning ☞ Matematik Alfa 1, Januar 2003 Opgave 5 Angiv den fuldstændige løsning y(x) til differentialligningen (for x > 0) y ′ + y x = 2x−1 . Angiv endvidere den løsning, der opfylder betingelsen y(2) = 5. 2.25. Løs differentialligning ☞ Matematik Alfa 1, Januar 2003 Opgave 5 - løsning y ′ + y = 2x−1 x a(x) = −x −1 ,b(x) = 2x −1 U
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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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Page 512 and 513: VIII. Appendiks - 1. Polære koordi
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