Use variation of parameters to solve the given initial-value problem. x'=(³₁3¹)x+ (4²).X (0) = (¹) 4e4t, X

Q: Findifw = xy + z.x = cost. y = sint and z= t at t = 0.

A: Here we will use chain rule of partial derivative  If w is a function of x,y,z and x,y,z all are…

Q: For the function f(x) -2x² + 3x² a) Degree (even or odd) b) Name of polynomial type based on degree…

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Q: A D E Given the multiplication table below on (0,1,2,3,4,5,6,7}, which statement best describes…

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Q: Q2. Solve the differential equations Leibnitz linear egalation method. (i) (1-x²) dy - xy = = dz

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Q: The Z-transform of the following function f[k] = 2.2k +$.(-5)* - 3 (-4)* is so the constants A and B…

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Q: The Z-transform of the following function f[k] =2k + .(-5)* - 3 (-4)* 42 so the constants A and B…

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Q: Z(A+BZ²) The Z-transform of the following function f[k] = 2.2k + .(-5)* − 3 (-4)* i (Z-2)(Z+4)(Z+5)…

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Q: A model giving the purchasing power of the 2001 constant dollar is d(t) = −0.023t + 1.00 dollars…

A: Given Data: d(t) = −0.023t + 1.00 dollars To find: (a) The value of a 2001 constant dollar in the…

Q: The Z-transform of the following function f[k] = 2 + (-5)* - 33 (-4)* is 42 so the constants A and B…

A: Here the given function is f[k]=942.2k+517.-5k336-4k We will find Z-transform of the this function…

Q: " Q4. Solve the partial differential equations by the method of sepa. un of variables: 3 (i) py² + q…

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Q: Find the surface area of revolution about the x-axis of y = 2 sin(2x) over the interval 0 ≤ x ≤ KIN

A: When a cut= when a curve y=f(x)  a≤x≤b  rotate about x axis then surface area of rotation Ax=∫ab2πy…

Q: What is the estimated revenue of Amazon in 2077? ____________ billion US dollars.  Round to the…

A: Given: The below table is given: Year (x) Revenue (y) 2020 386.064 2019 280.522 2018…

Q: The probability density function of the random variable X is given by: Sce-2x 0 f(x)= = for x > 0…

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Q: Let a₁ = 0 span of a₁, a2, and a3 a2 @ 2 7 a3 = 5 8 7 and b = 2 6 Determine if b is in the

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Q: The Z-transform of the following function f[k] = 2.2k +$.(-5)* - 3 (-4)* 33 is 42 so the constants A…

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Q: The equation f(x)=x^2-10=0 has a root near x=3.   a) Apply four iterations of the Secant Method,…

A: Given : x2-10=0 To Find :  (a) Roots by Secant Method (b) Significant digit

Q: (10) Write each of the following sets in the form of listing its elements (i.e. in the form {a,b,c}…

A: What is Power Set: Power set is very significant in set theory. Every set has a subset. Two improper…

Q: Find the z. T. of X(X) = caswok u(k)

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Q: In a round-robin tournament the Tigers beat the BlueJays, the Tigers beat the Cardinals, the Tigers…

A: Directed graph: A directed graph is a graph in which a set of objects are connected together such…

Q: Find the standard form of the equation of a circle given the following conditions. 9. Diameter is 12…

A: The standard form of a circle is defined as: x-h2+y-k2=r2, where h, k is the center and r is the…

Q: 3z 2z²-5z+2 transform of (3)k x[k]; 3. The initial value of x[k]. Q4:A. If the Z transform of x[k]…

A: Given, Z Transform of xk is Xz=3z2z2-5z+2.

Q: I don't understand, could you write it on paper

A: Sol:-

Q: Q1: Let A [1 2 3;4 5 and B-19 8 7 6 5 C-[1 2 3; 4 5 6;7 8 Find A - 4 B-3C ? 6; 7 8 91 4; 3 2 1] and…

A: Here we have to compute A-4B-3C for the given matrices A, B and C.

Q: In the following system Problem, categorize the eigenvalues and eigenvectors of the coefficient…

A: It is given that x1'=7x1-5x2 and x2'=4x1+3x2. We can write the system of differential equations in…

Q: Complete the table below by finding the missing piece. Make sure to round everything to 2 decimal…

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Q: orthogonal to the vector y = (2)? You may want to go through the proof of When is the vector x =…

A: Here,        x = (3, 4)T       y = (-4, y2)T x and y is orthogonal if xTy = 0.

Q: Find the maximizer of fƒ (x, y) = x² + y² subject to 2x + y ≤ 2, x ≥ 0 and y ≥ 0.

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Q: Q5 Coaxial Conducting cylinders located at r=4 cm and r = 16 cm. The region between cylinders is…

A: As per bartleby policy, I've answered only Q5. If you want answer to Q6 , please upload it under…

Q: Find X(Z) if X(K)=(-¹* K=1,3,5,7 This means that its value is an odd number X(Z) = X(K)Z-k Let…

A: What is Z-transformation: In math and signal processing, the Z-transform converts a time-domain…

Q: Consider a propositional language where P: Paola is happy. Q: Paola paints a picture. R: Renzo is…

A: given sentence is " if Paola is happy, then she paints a picture" also given  P: Paola is happy Q:…

Q: onge 202 MO f(x) = cos(r) -2 cos(x). -ssed in the form f(x) = 20(+b), where a > urve y = f(x) over z…

A: We will need a couple of formulas to start off with. First we list the formulas and then provide the…

Q: Explain Special Linear Group is a Normal Subgroup of General Linear Group?

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Q: 3. Consider the transformation D: P2 P2 given by (1.4.15). Find the eigenvalues and eigenvectors of…

A: The given transformation is D:P2→P2 defined by Df(x)=f'(x). To Find: Eigenvalues, eigenvectors, and…

Q: Find the natural parametrization of r(t) = 1²0₂ + 20y. What is this curve?

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Q: The Z-transform of the following function f[k] = 2 + .(-5)* - 33(-4)* is 42 so the constants A and B…

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Q: CCSX-D erval [1.5, 2] DA

A: The given equation is 0.5ex-e-x+5 cos x =2 Consider the function fx=0.5ex-e-x+5 cos x -2

Q: A square loop of side a recedes with a uniform velocity u,a, from an infinitely long fila- ment…

A: Given- A square loop of side a recedes with a uniform velocity u0ay from an infinitely long filament…

Q: (a) дz əz ər ?х (b) дz де (c) = = дz ər 02z ar de дz де дz ?х a2z ər 08 = + + əz ду дz ду + дz +9% +…

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Q: Determine the roots of f(x) = -12- 12x + 18x² -2.75x³ a. Graphically b. Using Bisection Method c.…

A: Sol:- A. Graphically:--12-12x+18x2-2.75x3=0Plotting: -12-12x+18x2-2.75x3The solutions arex≈…

Q: Explain and prove the ff questions:   1. The logarithm of a number gives the power to which the…

A: 1)

Q: EX: Find the Z. T. of X(X) = cas wok u(k) 8 iwok -iwok Sol:- X(Z) = - IN Σ coswok. Z k=o == {(² z ¹²…

A: What is Z-transformation: A mathematical technique called the Z-transform is used to transform…

Q: A mining company has two mines. One day's operation at mine #1 produces ore that contains 10 metric…

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Q: The system of equations: -10x1 + 2x2 + x3 + x4 = -3 2x1 - 10x2 + x3 + x4 = -15 x1 + x2 10x3 + 2x4 =…

A: Given :  -10x1+2x2+x3+x4=-32x1-10x2+x3+x4=-15x1+x2-10x3+2x4=-27x1+x2+2x3-10x4=9 To Find : x1 , x2 by…

Q: What do the in-degree and the out-degree of a vertex in adirected graph modeling a round-robin…

A: To Define : In-degree and Out-degree of a vertex in a directed graph modeling a round-robin…

Q: Exercise 2.16. Prove the formulas for the equations of lines in the Hyperbolic Half-Plane model.

A: Solution:- In a hyperbolic half-plane model , we use the following definitions ; h-point: any point…

Q: Complete the non-inductive proof that the Euler Characteristic of a polyhedron is 2.

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Q: In this worksheet, you will be defining 30 unique matrices denoted by the letters of the alphabet.…

A: Here we defining 30 unique matrices by the letters of the alphabet .  The complete solution in the…

Q: 11. Aviation The number of active certified commercial pilots has been declining since 1980, as…

A: Given: The below table is given: year (x) Total (y) 1980 182097 1985 155929 1990 149666…

Q: A root of x-0.5e-2x = 0, which is locate in the interval [0, 1] correct to three decimal places…

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Q: 1126 wall work on this paper. All answers MUST be supported by work. NO WORK = NO CRED raphing…

A: Disclaimer:  Since you have asked multiple question, we will solve the first question for you. If…