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A: We have to find the inverse Laplace.

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Q: 2. Find the Laplace transform of the following function: 0 ≤ t 4. f(t) = 0, t², 0.

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Q: 5 5 ロジー 12y+y="/sin(x) (0) = 0,(0) 2

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Q: t = 1/₂-k₁ In K₂ CB= Св= кi сао no e-kit_ e-kat K₂-K₁ How would you Shomify it to this? кукуки K₁…

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Q: Find a state space representation for the system described by ₁ +3 (y1 +32) = U₁ ÿ2 +42 + 3y2 = U₂

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Q: Use the transformation x = u² − v², y = 2uv to evaluate the integral 1 2√1-x √₁¹ √²√¹−x √x² + y²…

A: Given transformations are .The given integral is .The integral region in plane is drawn as follows.

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Q: 6) Solve the differential equation given by the method by series of powers. y' + y = 0 Answer: y = c…

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A: According to the given data, find the following:

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A: If A=QR,where Q is invertible matrix,then we need to show that A is similar to RQ.

Q: subject to I1 x₂ = 2 = Use the simplex method to maximize 2= 7x₁ + 13x₂ 521 x 1 x1 X2 + + > X2 < 10…

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Q: Find f(t). &{ 4s - 1 3 \s² (s + 1)³√ f(t) = 7H(t)-t-7e --(61-5-12) 6t- - e X

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Q: Question 9: a. Let G be an Abelian group, let a, bEG: |a| = |b| = 2. {e, b}. Show that HK ≤ G and…

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Q: Let (x4/3y5/3 + ix5/3y4/3)/(x² + y²) if z 0, if z = 0. f(z): >= {(x²4/ :{ 0 Show that the…

A: Let f(z)=u(x,y)+iv(x,y)The Cauchy Riemann equation:ux=vy  ,  uy=−vxFunction f(z) is differentiable…

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Q: C. For any natural number n, let Pn be the statement that n³ + n + 1 is even. i. Show that for every…

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Q: 12. Given t_ = t5 t3 8 of a geometric sequence, determine t 8 = 72 and t

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Q: Evaluate the integral: Or= (A) Which trig substitution is correct for this integral? 2 Ox= 5 sec (0)…

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A: We shall be using the Pigeonhole principle

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Q: If A and B are 2 x 2 matrices with determinants |A| Find the determinant |(3ATB-¹) (2B-¹)¹. (d) 1/1…

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Q: . Show that addition of two Dedekind cuts in K (as on p1/ of the notes) is commutative and…

A: A Dedekind cut is a particular method of construction of the real numbers.The idea is to consider a…