Obtain the inverse Laplace transform: 4s+4 s² (s-2)

Q: 19. The Dulac Box plant works two eight hour shifts each day. In the past, 500 cypress packing boxes...

A: Solution :-

Q: . Find the solution 2 SP dt 5t³S³ Determine the general solution of dx =1+ 3y tanx.

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Q: A beam whose centre of gravity divides it into two portions, a and b. is placed insıde a smooth sphe...

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Q: - 4y" – y = e2 + 3

A: Solution :-

Q: 1 Y(s) = s²(s²+1) ; Y(t) = ?

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Q: Recall that Log corresponds to the principal argument. What is the real part of Log(-4 + 4i)? What i...

A: Principal argument lies between (-π  π]

Q: The matrix for changing coordinates in the Euclidean basis for C4 into coordinates in Cthe jden ot u...

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Q: 4. Let A be a square matrix. (a) 1² is an eigenvalue of A² with the same eigenvector, v. Show that i...

A: we are given that λ is an eigenvalue of Aand correspoinding eigenvector is v,we have to show that λ2...

Q: Problem 4. Let A be an nx n matrix and S = {v1,. ., Vn} be vectors in R" such that Avk = \gV¢ for k ...

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Q: Maclaurin series for f(x) = e¯3, or the series. Show your work. te e¯§ to five terms. What is the ur...

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Q: Evaluate the given function S sin²xcos²dx -1+cos (2x) C а. 2 b. 1+cos (2x) + C 1+cos (2x) с. + C 1 [...

A: Since  you have posted a multiple question according to guildlines I will solve first  question for ...

Q: 4) Consider the collection of intervals on the real line: B = { (a, b) | a 1}. Is this a basis for ...

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Q: 2. Let f : (0, ] → R such that f(z) = r². • Show that f(x) < z. • Show that f has no fixed point on ...

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: If |A| =7 then 1S(A)| = %3!

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Q: Use any method to determine whether the series converge. 21 (a) ). VR + 1 This series >

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: 4. Given the two vectors rA =-ax - 3ay - 4az and re= 2ax + 2ay + 2 az and point C (1, 2, 3) find: a)...

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Q: QUESTION 21 Determine if the following logical expression is a tautology or contradiction. (ovq)^(-A...

A: Introduction: Tautology and contradiction are related with a compound logical statement. When a comp...

Q: prove that erf (x) dx =o

A: To prove: ∫−aaerfxdx=0

Q: QUESTION 2 Suppose that z depends on variables a and b. and a and b depend on variables s and. Find ...

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Q: Which of the following represents the ratio of the corresponding sides of △ABC▵A⁢B⁢C⁢ to △DEF? 1:1 ...

A: Introduction: Sometimes, the corresponding angles of two triangles are equal, but the length of side...

Q: Prove that there is no permutation a such that a'(12) a = (34) (15). %3D

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Q: Show that the centre of a ring R is a sub ring of R. And also show that the centre of a division rin...

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Q: Solve the 2nd order differential equation. y" + 6y' + 9y = 0

A: The given differential equation is y''+6y'+9y=0 The auxiliary equation is D2+6D+9=0 solve for D  

Q: 3. Let d(x, y) := |2 - 2| for x, y E R. . is a metric on R. Show that (R, d) is not a complete metri...

A: Cauchy sequence: A sequence x1, x2, x3, ... in a metric space (X, d) is called Cauchy if for every p...

Q: Simplify the following polynomial and answer the questic x* + (2x²) ™ + 6 1 +=x' 3

A: In the given question, the concept of the polynomial is applied. Polynomial The term "polynomial" re...

Q: Find the remainder when 15 + 25 + 35 + ... + 985 + 995 + 1005 is divided by 4.

A: Note- Since you have asked multiple questions, we will solve the first question for you which is que...

Q: 2. Let p be an odd prime not equal to 5. Prove that either p² – 1 or p? +1 is divisible by 10. 3. Pr...

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Q: 5. Let G be a graph with degree sequence (5, 5, 5, 4, 4, 3, 3, 3, 1, 1, 1, 1). Does there exist a bi...

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Q: For the following Venn diagram, determine the set Bnc. k 10 a 4 11 9 A 15 d 7. 14 6. B. 8 1 12 13 3 ...

A: The intersection of A and B is the set of all those elements which belong to both A and B.  A ∩ B =...

Q: Q.2 Use eigenvalues and eigenvectors to solve : 8 X, X(0)= 2 X' = -1 -2

A: Introduction: A homogeneous system of differential equation can be expressed as X'=Ax The eigenvalue...

Q: 21. 22. 8 in 70 in (-6(5r) + 10) in (9x – 2) 3 of 6 in r = X =

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Q: Suppose g is a function such that g'(x)=-2,which of the following statements is TRUE? A. g has one r...

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Q: Identify the law of logic used in the following simplification step: raovqvr vs)=r

A: The main objective is to identify the the law of logic which is used in simplification.

Q: I In Problems 47–50, explain what is wrong with the statement. 47. If ||ü|| = 1 and |||| > 0, then |...

A: Since you have asked multiple question , we will solve the first question for you. If you want any s...

Q: Part II. Find the Inverse Laplace Transform of the following: 8s2-4s+12 1. F(s) s3 +4s

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Q: Part II. Find the Inverse Laplace Transform of the following: 10 2. F (s) s2 +4s+4

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Q: QUESTION 12 Given two sets A = {1,2,3} and B = (a,b,c} Let AxB be the cartesian product of A and B. ...

A: The two sets are defined as follows: A=1, 2, 3 and B=a, b, c Definition: The cartesian product A×B i...

Q: The variables on a date base have a strong correlation.  What of the following correlations coeffici...

A: The relationship between two variables is generally considered strong when their r value is larger t...

Q: Assume the interest rate is compounded annually. a. Assume the interest rate is compounded continuou...

A: Solution :-

Q: Simplify the followin

A: In this question, the concept of Boolean algebra is applied.Boolean algebra A boolean expression is ...

Q: 2e -3e 3e If A(t) = -3e-t 4e-t | A(t)dt. -9e-t find 8e2t -4e2t 8e2t ? ? A(t)dt = ? ?

A: The given matrix is:At=2et-3et3et-3e-t4e-t-9e-t8e2t-4e2t8e2tWe have to find ∫03Atdt

Q: In the City of Manila, the total population is 1,750,873 and there are six districts within the area...

A: We will use basic arithmetic to answer this question.

Q: Plot the point: (r,theta) = (-6,-20) The angle is given in degrees.

A: To plot the point r,θ=−6,−20 on the plane.

Q: Q5) Describe the Null A by listing the vectors that span the Null space. 135 0 A= 014 -2

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Q: Write the following ratio as a fraction in lowest terms: 19 inches to 2 feet Submit Question

A: We will use basic conversion scale and arithmetic to answer this question.

Q: Note : m=0 , Weight: 1.25 k he weight of your laptop in gram. What is its weigh

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to...

Q: 3.) Determine whether the set of odd fuction: f (-x) = -f(x) which is a subset of C(-∞,0) is a subsp...

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Q: f(x)

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Q: 8. Consider p and q are functions of t. Find p'(t) for the following equation. 1-p? = q dp А. dt 2 d...

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Q: 2) Show that the interval (2, 4) is open in the upper limit topology on R. [Hint: Express (2, 4) as ...

A: We have to show that the intervel (a,b) is open in upper limit topology in R.To show (a,b) is open w...