Instructions Use the process of partial fractions to determine the inverse Laplace of the following functions: s²-6s-5 F(s) (s − 3)²(s + 4) 2. =

Q: Use coordinate geometry to prove the statem If the midpoints of a trapezoid are joined to form a…

A: consider the following trapeziod midpoints of the sides,…

Q: a) Suppose you are given model with two explanatory variables such that: Y₁ = a + B₁x₁i + B₂x₂₁x +…

A: Given: yi=α+β1x1i+β2x2ix+ui To find: Coefficients

Q: How to solve this

A: In this question, the area of entire diagram is to be determined.

Q: Attempt 14 Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not…

A: Introduction: A limit is the value that a function (or sequence) approaches when the input (or…

Q: Home Furnishings has contracted to make at least 220 sofas per week, which are to be shipped to two…

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Q: 3₁3245 + 211 5 2 5

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Q: rage sales per agent per month from March to May target? Answer: % Which one is the category with…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: What can you say about z if |e|= 1. Ques

A: Note: Hi! Thank you for the question As per the honour code, We’ll answer the first question since…

Q: Pick any two nonzero numbers. Add them to obtain a third number. Construct a sequence of numbers in…

A: We have to examine the nature of Fibonacci sequence by taking any two non zero numbers and adding…

Q: Describe the end behavior of the function f(x)= √7x

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Q: What is the value of x in (2x - jy) + (y - jx) = 1 - j5?

A: We have to find the value of x where 2x-jy+y-jx=1-j5

Q: 2. A | B | A 11 10 0 1 00 Complete the membership table to show (A-B)u(AB) = A, for all sets A, B.…

A: Use the following membership table, to obtain the solution. A B A-B A∪B A∩B 1 1 0 1 1 1 0 1 1…

Q: b) Let T:R³ →R* be a linear transformation, and let B = {ei, ez, e3} be the standard basis for R³.…

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Q: S Sifoo-gool dx O d2 (f.g) = Sup {/fox) - gox|} V£₁9 € [0₂4] if d, (fig) = Find Ⓒd₁ (√x,x) @d₂…

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Q: 3. Give a direct proof: If x is even, then x³ + x +1 is odd. (Use the definitions of even and odd,…

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Q: what is the rectangular form of the final answer?

A: Rectangular form of complex number x + jy

Q: 4x9+6

A: Given expression is 4×9+6. We have to simplify the given expression. Use BODMAS rule…

Q: umeral for the Roman n

A: Introduction: Manuscript numerals are a symbolic representation of numbers that do not have a place…

Q: Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c,where a,b…

A: We will use Sylvester law for finding dimension of range of T.

Q: 3: A student is riding on her bike. The wheel of the bike is 1 m across. A pebble is stuck in the…

A: To find the given conditions :-

Q: Ava is raising money for a school trip by selling bags of chips and candy bars. The price of each…

A: To determine the solution of the given question first formulate an equation based on the given…

Q: 1. Evaluate the following limits: |x+61 2. lim G(x) if G(x) = x-→-00 x+6

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Q: Rayleigh's equation is y” +4 (½(1¹)² − 1) y′ + y = 0, where µ is a constant. Show that differenti-…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Let V be R³ and TB = {n₁, n2, n3} and SA = {m₁, m2, m3} be the ordered basis for R³, where 3 2 2…

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Q: Widget Sales Jesaki Inc. is trying to enter the widget market. The research department established…

A: Given that, The research department  of widget market established the following table,…

Q: Verify that the given function is harmonic and find its conjugate harmonic function.

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: A square matrix is a necessary condition for which of the following. Choose all that apply: An…

A: A  is identity matrix if all the diagonal entries is 1 and non diagonal entries is zero  Addition of…

Q: Limits involving infinity 1. Use graph to find the lim f(x) and lim f(x) of the following function…

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Q: A promissory note will pay $47,000 at maturity 12 years from now. If you pay $21,000 for the note…

A: The formula for the amount when interest is compounded continuously is : A=Pert Here,  A= amount…

Q: "The Big Six!" The Six Trigonometric Ratios: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent…

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Q: (sin³3B) (cos3 B) dß Apply the transformation method

A: Solution :-

Q: 3. Give any element belongs to the vector space C³(-00,00)

A: Given vector space is  C3-∞,∞ or  C3R   where R=-∞,∞ set of real numbers.

Q: can you please write this part in handwriting? the characters are in different format so im having a…

A: Solution

Q: 3) Use a Use a Imear approximation of the function _fix, y) = estimate f(x,y) to appropiate point…

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Q: B. Solve the eigenvalues and eigenvectors of the following: 1. Determine the eigenvalues and the…

A: We need to find the eigenvalues and associated eigenvectors of the given matrix. First win will find…

Q: for each of the following systems, find all the equilibriumponts? 24 = 2₂ n₁ = n₁ + (1+₁) uz a) b)…

A: Part (a):- Given system is x˙1 =x2x˙2 =-x1 - x2 +x136

Q: 2. Two fish species z(t) and y(t) are found to co-evolve according to the following model dX = (²32)…

A: We can solve this using given information

Q: 8. Prove that if G is a group of order 60, then either G has 4 elements of order 5, or G has 24…

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering second…

Q: A tent is shaped as cone. It is 6 feet tall and has a floor area of 16 ft². How much space is inside…

A: Floor area is 16 ft² The floor of the cone is in the shape of a circle. The area of circle is πr2…

Q: What is 377 in Roman numerals?

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Q: [*f(x) dx = Given that $f's is 54 wha f(w)dw

A: Properties of Integral 1. ∫abf(x)dx=-∫baf(x)dx 2. ∫abf(x)dx=∫abf(w)dw

Q: π 1 1 + 2 sin² x dx

A: Consider: ∫0π11+2 sin2x dx Now,  tanx =sinxcosx⇒sinx =tanx cosx⇒sinx =tanxsec x So, ∫0π11+2 sin2x…

Q: Evaluate the sum and express your answer in Cartesian (rectangular) form of the complex number

A: Given- ∑n=0∞ejnπ2  To find- Evaluate the sum and express your answer in Cartesian (rectangular) form…

Q: 2. (Short-run costs, Evren wants to go into the donut business. For $500 per month he can rent a…

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Q: Use the following information to answer the next two questions. At a local restaurant, the following…

A: 1. To make the breakfast, as per the given condition write the possible combination.

Q: Consider the following matrix: P = B = D= b3 Then the [P] is: ral a2 00 a3 a4 0 0 b1 b2 dl d2 Lb3 b4…

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Q: V1 V3 V2 V4 a) Find the adjacency matrix A for the directed graph shown. b) Compute A³. What do the…

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Q: Let x(t) be a solution to the system of differential equations: x' (t) 3 x₂ (1) 10 x₂(t) x₂ (1) -3…

A: Solution

Q: c) Define the linear transformation T: R³ →R² by T([])= [² = ³6 ] a - 3c +b- Find a basis for the…

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Q: 4. If 14 men can dig a pit in 10 days. How many merrcom A. 10 B 20 C. 30 D. 40 5. A business's…

A: Given- A business's return of investment will be allocated on two business partners: Flor and Jose…