Colonial Powers and Ethiopian Frontiers 1880-1884 | Lund University Press

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DIC analysis of deformation in Harmonic Structured materials MASTER THESIS PROJECT(30HP) 1. Background Modern demands in structural materials can be hardly met by the traditional polycrystalline materials with homogeneous structures. Such materials are either ductile but too soft when coarse-grained (CG; crystallite size d³10µm) or strong but too brittle when nano- or ultrafine-grained (UFG; cryst

https://www.material.lth.se/fileadmin/material/MScTheses/2019-Ads/MTEK-MSc_Thesis-I.pdf - 2025-03-15

Segmentation and analysis of 3D structures in x-ray, neutron imaging MASTER THESIS PROJECT(30HP) 1. Background Magnesium (Mg) alloys are the lightest structural metals having excellent potential in biomedical applications since their mechanical properties are some of the most similar to human bones among engineering materials. The Division of Materials Engineering at LTH works extensively on the d

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In vitro study of bio-degradation in Mg alloys by isothermal calorimetry MASTER THESIS PROJECT(30HP) 1. Background Magnesium (Mg) alloys are the lightest structural metals having excellent potential in biomedical applications since their mechanical properties are some of the most similar to human bones among engineering materials. The Division of Materials Engineering at LTH works extensively on t

https://www.material.lth.se/fileadmin/material/MScTheses/2019-Ads/MTEK_BYGG-MSc_Thesis.pdf - 2025-03-15

Dependence of nano-hardness on precipitate structure in Mg MASTER THESIS PROJECT(30HP) 1. Background Magnesium (Mg) alloys are the lightest structural metals having excellent potential in biomedical applications since their mechanical properties are some of the most similar to human bones among engineering materials. The Division of Materials Engineering at LTH works extensively on the development

https://www.material.lth.se/fileadmin/material/MScTheses/2019-Ads/MTEK_IProd-MSc_Thesis-II.pdf - 2025-03-15

Packaging Solutions AB Tetra Pak Tetra Pak is a trademark belonging to the Tetra Pak Group. General Strain rate characterization of Packaging Materials More than half of the world's consumers are looking for packaging that is recyclable, better for climate and with a low impact on the environment. With such high demand, the time is now to look into developing the 'package of the future' – one that

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Course Requirements before Autumn 2015 | Centre for Mathematical Sciences Skip to main content This site uses cookies to enhance the user experience. By continuing to use the site you agree that cookies are used according to our Cookie Policy (on the website of LTH) . Essential cookies These cookies are necessary for the website to function and cannot be turned off in our systems. These cookies do

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News | Centre for Mathematical Sciences Skip to main content This site uses cookies to enhance the user experience. By continuing to use the site you agree that cookies are used according to our Cookie Policy (on the website of LTH) . Essential cookies These cookies are necessary for the website to function and cannot be turned off in our systems. These cookies do not store any personally identifi

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Mathematics, Science Faculty | Centre for Mathematical Sciences Skip to main content This site uses cookies to enhance the user experience. By continuing to use the site you agree that cookies are used according to our Cookie Policy (on the website of LTH) . Essential cookies These cookies are necessary for the website to function and cannot be turned off in our systems. These cookies do not store

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Tentamen i Algebra LUNDS TEKNISKA HÖGSKOLA TENTAMENSSKRIVNING MATEMATIK FMAA50 ALGEBRA Helsingborg 2021-04-08 Anvisningar: Skriv namn och personnummer på varje papper. Alla svar ska förenklas maximalt. Hjälpmedel: Utdelat formelblad. 1. Kvadratkomplettera uttrycket 172  xx . (0.2) 2. Lös olikheten 6 9.x   (0.2) 3. Bestäm en ekvation för den räta linje som går genom punkterna (0.2) )1,3( och )

https://www.maths.lu.se/fileadmin/matematik_lth_hbg/Algebra/Tentor/AlgebraTenta-210408.pdf - 2025-03-15

LUNDS TEKNISKA HÖGSKOLA LÖSNINGAR MATEMATIK ANALYS 1 Helsingborg 2025-01-17 1. a) 2 2 22 7 4 2 7 1lim ( 2) (2 2) 0x x x x               b) 2 sinsin 12lim 2 2 2 x x x      c) 3 60 1lim 1 x xx e e   = 3 3 6 60 0 0 ( 1)3 1 3 2 1 1lim lim 1 1 0 3 ( 1) 3 ( 1) 2 2 2 x x x xx x e x e x x e x e                   d) 2 2 2 2 (2 7 4 ) (2 7 4 )lim 2 7 4 ( )

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1 LUNDS TEKNISKA HÖGSKOLA Lösningar MATEMATIK ANALYS 1 Helsingborg 2023-08-25 1. a) 22 33 3 3 21 3 1 3 1 3 ii i i       . 3arg arg3 arg(1 3) . 2 3 61 3 i i i i           b) Eftersom 2z  och 9arg 4 z   så kan vi skriva 9 4 9 92 2 cos sin 2 cos 2 sin 2 4 4 4 4 z e i i                                2 22 cos sin 2 2 2 4 4 2 2 i i i    

https://www.maths.lu.se/fileadmin/matematik_lth_hbg/Analys_1/Loesningar/LoesningarAnalys1_230825.pdf - 2025-03-15

TENTAMEN I MATEMATIK LUNDS TEKNISKA HÖGSKOLA TENTAMENSSKRIVNING MATEMATIK FMAA50 ANALYS 1 Helsingborg 2024-04-02 kl.14.00-19.00 Hjälpmedel: FORMELBLAD. Lösningar ska vara försedda med ordentliga motiveringar. Alla svar ska förenklas maximalt. 1. Derivera och förenkla a)  2ln 4 2x (0.2) b) 2 2 2 2 x x  (0.2) c) 2(2 ) cos 2 sinx x x x    (0.3) d)  35xe x (0.3) 2. a) Beräkna absolutbeloppe

https://www.maths.lu.se/fileadmin/matematik_lth_hbg/Analys_1/Tentor/Analys1Tenta_240402.pdf - 2025-03-15

TENTAMEN I MATEMATIK LUNDS TEKNISKA HÖGSKOLA TENTAMENSSKRIVNING MATEMATIK FMAA50 ANALYS 1 Helsingborg 2025-01-17 kl. 14.00-19.00 Hjälpmedel: FORMELBLAD. Lösningar ska vara försedda med ordentliga motiveringar. Alla svar ska förenklas maximalt. 1. Beräkna följande gränsvärden a) 2 22 7lim ( 2)x x x x    (0.2) b) 2 sinlim 2x x x  (0.2) c) 3 60 1lim 1 x xx e e   (0.3) d) 2lim 2 7 4 x x x 

https://www.maths.lu.se/fileadmin/matematik_lth_hbg/Analys_1/Tentor/Analys1Tenta_250117.pdf - 2025-03-15

LUNDS TEKNISKA HÖGSKOLA LÖSNINGSFÖRSLAG MATEMATIK FMAA50 – Analys 2 2023-04-17 kl. 14.00–19.00 1. Svar: a) 1 8 b) ln 5 2 c) 2− √ 2 d) − ln 3 Lösningsförslag: a) ∫ 2 1 ( 1 x2 − 1 x3 ) dx = [ −1 x + 1 2x2 ]2 1 = −1 2 + 1 8 + 1− 1 2 = 1 8 b) ∫ 3 −1 x x2 + 1 dx = 1 2 ∫ 3 −1 2x x2 + 1 dx = 1 2 [ ln ( x2 + 1 )]3 −1 = 1 2 ( ln 10− ln 2 ) = ln 5 2 c) Variabelsubstitutionen t = cosx ger att∫ π 3 0 sin

https://www.maths.lu.se/fileadmin/matematik_lth_hbg/Analys_2/Loesningar/Tentamen_Analys_2_230417_sol.pdf - 2025-03-15

LUNDS TEKNISKA HÖGSKOLA LÖSNINGSFÖRSLAG MATEMATIK FMAA50 – Analys 2 2024-03-11 kl. 8.00–13.00 1. Svar: a) 1 3 b) π − 2 8 c) ln 3 Lösningsförslag: a) ∫ 1/4 1/9 1√ x dx = [ 2 √ x ]1/4 1/9 = 2 · 1 2 − 2 · 1 3 = 1 3 b) ∫ π/4 0 sin2 x dx = ∫ π/4 0 1− cos(2x) 2 dx = [ x 2 − sin(2x) 4 ]π/4 0 = π 8 − 1 4 = π − 2 8 c) Andragradspolynomet i integrandens nämnare har nollställena −1 respektive −3, och

https://www.maths.lu.se/fileadmin/matematik_lth_hbg/Analys_2/Loesningar/Tentamen_Analys_2_240311_sol.pdf - 2025-03-15

LUNDS TEKNISKA HÖGSKOLA TENTAMENSSKRIVNING MATEMATIK FMAA50 – Analys 2 2023-03-17 kl. 8.00–13.00 Hjälpmedel: formelblad Lösningarna ska vara försedda med ordentliga motiveringar och svaren ska förenklas max- imalt. 1. Beräkna a) ∫ 1 0 xex dx, (0.3) b) ∫ 3 0 x√ x+ 1 dx, (0.3) c) ∫ 8 3 4 (x− 2)(x+ 2) dx. (0.4) 2. Lös begynnelsevärdesproblemen a) y′′ − 3y′ − 4y = 4, y(0) = y′(0) = 2, (0.6) b)

https://www.maths.lu.se/fileadmin/matematik_lth_hbg/Analys_2/Tentor/Tentamen_Analys_2_230317.pdf - 2025-03-15

LUNDS TEKNISKA HÖGSKOLA TENTAMENSSKRIVNING MATEMATIK FMAA50 – Analys 2 2023-08-14 kl. 14.00–19.00 Hjälpmedel: formelblad Lösningarna ska vara försedda med ordentliga motiveringar och svaren ska förenklas max- imalt. 1. Beräkna a) ∫ 8 1 1 x2/3 dx, (0.2) b) ∫ π/3 0 1 cos2 x dx, (0.2) c) ∫ π/3 0 x sinx dx, (0.3) d) ∫ 1 −1 ex 1 + ex dx. (0.3) 2. Lös begynnelsevärdesproblemen a) y′ + 2xy = 4xex

https://www.maths.lu.se/fileadmin/matematik_lth_hbg/Analys_2/Tentor/Tentamen_Analys_2_230814.pdf - 2025-03-15

LUNDS TEKNISKA HÖGSKOLA TENTAMENSSKRIVNING MATEMATIK FMAA50 – Analys 2 2024-04-08 kl. 14.00–19.00 Hjälpmedel: formelblad Lösningarna ska vara försedda med ordentliga motiveringar och svaren ska förenklas max- imalt. 1. Beräkna a) ∫ π/2 π/3 cos(3x) dx, (0.2) b) ∫ 6 2 1 x3 dx, (0.2) c) ∫ 5 −1 x+ 3 x+ 2 dx, (0.3) d) ∫ ∞ 2 xe−x2 dx. (0.3) 2. Lös begynnelsevärdesproblemen a) ( x2 + 1 ) yy′ = x,

https://www.maths.lu.se/fileadmin/matematik_lth_hbg/Analys_2/Tentor/Tentamen_Analys_2_240408.pdf - 2025-03-15

LUNDS TEKNISKA HÖGSKOLA TENTAMENSSKRIVNING MATEMATIK FMAA50 – Analys 2 2024-08-19 kl. 14.00–19.00 Hjälpmedel: formelblad Lösningarna ska vara försedda med ordentliga motiveringar och svaren ska förenklas max- imalt. 1. Beräkna a) ∫ 5 0 x √ x dx, (0.2) b) ∫ 4 −1 3x− 8 (x+ 2)(x− 5) dx, (0.4) c) ∫ π 0 sinx 1 + cos2 x dx. (0.4) 2. Lös begynnelsevärdesproblemen a) x2y′ + xy = 1, x > 0, y(1) = 1

https://www.maths.lu.se/fileadmin/matematik_lth_hbg/Analys_2/Tentor/Tentamen_Analys_2_240819.pdf - 2025-03-15