See both pics. one is in swedishother one is translated but maybe some words missing so please check both picture 4. Bestäm konstanten c så att funktionen(sin(x³ – 1)f(x) =x + 1х — 1x = 1är kontinuerlig i R. (a) Förklara först varför funktionen är kontinuerlig i alla x + 1. (b) Förklara sedanhur du kan välja c så att funktionen är kontinuerlig i x = 1. Ange villkoret för kontinuitet och visatydligt hur du använder villkoret för kontinuitet för att lösa problemet. För (a) och (b), glöm inte attnämna matematiska satser som är viktiga i sammanhanget och diskutera hur du använder dem. 4. Determine the

Name: See both pics. one is in swedishother one is translated but maybe some
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Description: See both pics. one is in swedishother one is translated but maybe some words missing so please check both picture 4. Bestäm konstanten c så att funktionen(sin(x³ – 1)f(x) =x + 1х — 1x = 1är kontinuerlig i R. (a) Förklara först varför funktionen är ko

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Answered: 4. Determine the constant < so that the…

Math

Advanced Math

4. Determine the constant < so that the function (sin(x3 - 1) X - | f(x) = X #1 X = | is continuDus in R. (A) First explain why the fun

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

Topic Video

Question

See both pics. one is in swedish

other one is translated but maybe some words missing so please check both picture

4. Bestäm konstanten c så att funktionen
(sin(x³ – 1)
f(x) =
x + 1
х — 1
x = 1
är kontinuerlig i R. (a) Förklara först varför funktionen är kontinuerlig i alla x + 1. (b) Förklara sedan
hur du kan välja c så att funktionen är kontinuerlig i x = 1. Ange villkoret för kontinuitet och visa
tydligt hur du använder villkoret för kontinuitet för att lösa problemet. För (a) och (b), glöm inte att
nämna matematiska satser som är viktiga i sammanhanget och diskutera hur du använder dem.

4. Determine the <onstant < so that the function
ktiohen
(sin(x3 - 1)
X # 1
X - I
f(x)
%3D
is continuous in R: (A) First explaio why the functionis continupus in All x # 1. (b) Then explain
how to select < so that the funtion is Kontinvoust in x=lig Enter the condition of Kontinuity and display
<learly how to use the condition of<ontinvity to solve the problemr For(a) and (b), do'not forget that tt
mention mathematical theorems that are importantin the contextand discuss how to use them.m.

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Problem #4: Consider the following ordinary differential equation: Problem #4: y(5)(x) + 3y(4)(x) + 11y¹'(x) = 2x² + 3xe−3x/2 cos( √35 x) If you were to use the Method of Undetermined Coefficients, which form should you use in order to be guaranteed to be able to find unique coefficients yielding a particular solution? (A) x² (Ax² + Bx + C) + x(D+ Ex)e¯3x/2 cos( √35 x) (B) 4x² + Bxe¯³x/2 cos( √35 x) + (C) x³ (4x² + Bx + C) + x(D + Ex)e¯³x/² cos( √35 x) + + x(Dx + E)e¯3x/² sin( √35 x) (D) (4x² + Bx + C) + (D + Ex)e¯3x/² cos( √35 x) + (D + Ex)e¯3x/2 sin ( √35 x) (E) x² (Ax² + Bx + C) + x(D+ Ex)e 3x/2 sin( (√35x) B ² sin( √35 .x) (F) x³ (4x² + Bx + C) + x(D + Ex)e¯³x/² cos( √35x) + x(Fx + G)e¯³x/² sin( √35 x) (G) 4x³ + Bx²e¯³x/² cos( √35 x) + Cx²e-³x/² sin( √35x) (H) (dx² + Bx + C) + (D + Ex)e¯³x/² sin( √35 x) V + Bxe 3x/2
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