Solve the system of linear equation: ix1 - ix2 = -2 2x1 + x₂ = i

Q: 3.₁ Don takes out a 10-year loan of L, which he repays with annual payments at the end of each year…

A: Given: L=100Da10|i To find: Value

Q: Let u(x,y,t)=(1/t)exp[-(x²+y²)/4t] where exp denotes e to a function. Show that u(x,y,t) satisfies…

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Q: H.w 3: Apply the Trapezoidal rule to evaluate Sofia+ 2xydxdy (1+x²)(1+y²)' 2030 10+ PILO)S…

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Q: Max (Z) = 3 X + 5Y Constraints: 2X +3Y≤ 30 5X +4Y≤60 By Condition X, Y20

A: Given LPP is max z=3x+5ysubject to2x+3y≤305x+4y≤60x,y≥0   So, graph of  function

Q: Find the measure of the arc or angle

A: Suppose two chords intersects inside the circle, then the measure of angle formed by the chords is…

Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional the amount present at time t…

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Q: 1(x) = 1 (x)= 0, −1 < x < 0 -1 1, 0<x<3 0, 0,5 < x < 0 x, 0<x<0,5

A: The given function functions are        (i) fx=0,   -1&lt;x&lt;01,       0&lt;x&lt;3 and      (ii)…

Q: L-1 { s-1 (s² +9) Find laplace inverse.

A: To Find: Laplace Inverse i.e., ℒ-1s-1s2+9

Q: *Consider the following matrices 3 A=(-₂3³) B-(²5) C- (1²82) B= C= D (1)-( : ) E 0 1 0 9 30 2, (a)…

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Q: Consider the differential equation (D₁) : 2ä(t) — 8e¯x(t) + 5 = 0, x(0) = ln(4) and the relation…

A: If a function satisfies the differential equation and the given condition then the function is…

Q: * Consider the following matrices 1 0 0 1 1/2 3 4 ^ - (-:2 7) ³ - († ;) -- (6 47² : ;) -- () - (::…

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Q: A waiting-line system that meets the assumptions of M/M/1 has A-1,-4. For this system, what is the…

A: h

Q: 4. Find the derivative of f(x) - 7. A. 7 B. 0 5. What is the derivative of In(x)? A. xln(x) B. 1/x…

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Q: Advanced Math PLEASE PROVIDE STEP-BY-STEP EXPLANATION AND ANSWER! You have baked a rectangular pan…

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Q: Find a basis of the eigenspace associated with the eigenvalue -3 of the matrix 1 0 7 −1 0 -3 -6 -6 A…

A: Eigenvalues and eigenvectors are very significant in linear algebra. Eigenvalues is nothing but a…

Q: Suppose Jane borrows $2000 at an interest rate of 16% compounded each year. Assume that no payments…

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Q: Graph the parametric equations below (x(t) = t - sint ly(t) = 1- cost

A: The given parametric equations are: xt=t-sin tyt=1-cos t Find the value of x and y for multiple…

Q: -1 -4 -3 4 Let y = ,V1= 5 -1 Compute the distance d from y to the subspace of R4 spanned by v₁ and…

A: We have to find the distance of the vector y from the subspace spanned by the vectors v1 and v2…

Q: Using suitable transformations, evaluate closed region in the first octant bounded by the surface…

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Q: what is the difference between Binet's formula to its simplified version? Are there any rules on…

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Q: with examples, many ways that a sequence could diverge

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Q: ordinates to find the volume

A: Given surface: z=e-x2-y2-e-9 and XY plane To find: Using polar coordinates, find the volume of the…

Q: A waiting-line system that meets the assumptions of M/M/1 has A-1,-4. For this system, what is the…

A: Solution: Given,   λ=1             μ=4 Since  the waiting line system meets the assumption of M/M/1,…

Q: Calculate the distance from your house to the college in km. Determine the type of number whether…

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Q: Find the magnitude of the vectors represented 5 3 1 by (a) (b) |³| (c) 12 4 3 LO 5 1

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Q: Hand written plz In each of Problem, find a fundamental matrix for the system with the given…

A: Solution of the system of differential equations X'=AX  Is the fundamental matrix.

Q: Find the derivative of f(x) = 7. A. 7 B. 0 What is the derivative of In(x)? A. xin(x) B. 1/x C. 7x…

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Q: Sketch and shade the region bounded by the curves y=√x and y=x³,then determine the volume of the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: uestions 1. Use Euclidean Algorithm to find the greatest common divisor of 1207 and 569.

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Q: Match the given differential equation with one or more of the solutions. (Select all that apply.) y"…

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Q: L- s-1 (s²+9) Find laplace inverse

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Q: Find a general solution of the linear system below. x"=-8x + 2y, y"=2x-5y Solve for x(t). Choose the…

A: Given system is x''=-8x+2y,   y''=2x-5y   To Find: x(t) and then y(t) so that x(t) and y(t) are a…

Q: 6. Evaluate the inverse z-transform of x(z)= 2z-1 (1-2z-1)2

A: Given: xz=2z-11-2z-12 To find: Inverse z-transform of given function.

Q: 9. Find the numerical Integration of ſo cos(x) + sin (x) where n = 4 using trapezoidal rule.

A: Trapezoidal rule: ∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn) Here, h=b-aN and N is the number of…

Q: Find the common solutions to the congruences 2x 3x 1 (mod 5) (mod 6) 1 (mod 7). 9 4x

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Q: A large tank is filled to capacity with 300 gallons of pure water. Brine containing 5 pounds of salt…

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Q: x (lay_ In x) dy + y(1+lmy_lux). dx = 0

A: Introduction: A function of two variables is referred to as a homogeneous function when it is…

Q: Determine S10 for the series 200 +100 + 50 +....

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Q: Consider two brine tanks connected as shown in the figure below. Tank 1 contains x(t) pounds of salt…

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Q: Find the mean and standard deviation for each uniform continuous model. (Round "Mean" answers to 1…

A: Solution:-

Q: 2. Let A be any nonempty set. (a) Give the definition for: "A is not countable." (b) Is it true or…

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Q: QUESTION 1 A doctor prescribed his patient pills that must be taken twice a day. The pills consist…

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Q: Determine the half-life of a particular element if 200gr of that element decays to 15 gr in 12…

A: Given: 200 gr of an element decays to 15 gr in 12 hrs. To find: Half-life of an element.

Q: O Consider the following matrices 0 ^- (-¹2 ~) -- († ;) -- (1 ¹/² : ;) -- (:) --( : ) 1/2 3 A = D= 1…

A: We will use property of matrix multiplication  Two matrix can be multiplied only when number of…

Q: A consumer's behavior is described by the equation Y₁ = Ct + St where Yt, Ct and St stand…

A: Let us solve the given problem in the next steps.

Q: the centroid z of the frustum of the right-circular cone.

A: The diagram is given as,

Q: 03 // A)) Find the volume of solid below? =Y+X x² + 3² AC D4

A: Given solid is

Q: Question: iz -iz (a) Let f(z) = e + e 2 Go show that f is periodic with real period 2Ã

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Bertrand is a worker in Canada with a continuous income stream at the rate of 650e dollars per year.…

A: Given: 650et To find: 1) Discount rate 2) Nominal interest rate

Q: PAPER 1 12015 2 The polynomial f(x)-ax-15x²+bx-2 has a factor of 2x-1 and a remainder of 5 when…

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