=4 м.) хаучн y = 52х Z= зу, Z=o

Q: 2. Given the system dx₁ = 3x₁ + 3x₂ dt dx₁ dt = 4x₁ - 1x₂ a. Write the above system in matrix form…

A:

Q: Express the series in terms of elementary functions and find the where the series converges. ∞ n=1…

A: Given series is S=∑n=1∞9-nx The above series is geometric series with initial value a=9-x and common…

Q: OLA: Sate the following system by (method of inverse ) 2x1 + 3x2 = 5 x1 - 2x2 = -1

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Q: 9. Find the valul of X. noº

A: Given: The following figure:   To determine: The value of x.

Q: General Solutions of Systems. In each of Problems 1 through 6, express the general olution of the…

A: We solve by eigenvalue and eigenvector method.

Q: Solve: y" - 3y' - 4y = -8e¹ cos2t Complementary Solution: Yc = C₁eAt + C₂ B eEt Write the letter…

A:

Q: Exercises 1) Find x for x³ - 2x - 3=0, xo = 2, x₁ = 3. correct to 3 decimal places

A: We have to find x for x3-2x-3=0, x0=2, x1=3

Q: Given that the matrix A has the Singular Value Decomposition A = UVT, where: U= 3 Σ = 6000 0400 0000…

A: The singular value decomposition of A is given as, A=UΣVT, where, U=2312-26130223-231226 ,…

Q: Solve the following equation by Gauss-Seidel Method up to 3 iterations and find the value of…

A: The Gauss Seidel method is an iterative technique to solve the system of linear equation in two or…

Q: QUESTION 8 The data given in the Table below is produced from a model of the form: Y = (aX+b) s. 4 2…

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Q: The cable AB carries a tension of 400 N. Determine the moment about O (positive if counterclockwise,…

A:

Q: 9. Let 2 be a bounded open subset of C, and y: → a holomorphic function. Prove that if there exists…

A: From the above details we get,

Q: E D Consider the graph given above. Add an edge so the resulting graph has an Euler path (without…

A:

Q: Q6. Let X= (0, 3) equipped with the usual metric d. 3n Consider the sequence {n} = {³n-1} n (a) Is…

A: The given sequence is xn=3n-1n and X=(0, 3) with usual metric space. To find: the answer of the…

Q: Let S = V₁ = {V₁, V2, V3, V4, V5} where, ) 22 = , V3 = ₂V4 = V5 = 22 2 Find a basis for the space…

A: We have to find a basis for the space span(S) which is a subset of S. Then, we can proceed further.

Q: If 4 p and q P крса are conjugale exponent a measure X a measure space, p р. f₁g:x [₁₂+] measurable…

A: Given P and q are conjugate exponent and f,g are measurable function and let p,q∈(1,∞)

Q: UPVOTE WILL BE GIVEN! WRITE THE SOLUTIONS LEGIBLY. YOU MAY USE EXCEL. The simple interest rate is…

A: Given: P=Php 260000, r=4.2% and t=1 year. To find: The maturity value of loan amount.

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S6 dx x+8 Write your answer exact…

A:

Q: Consider the definition of Fibonacci series: where Fo = 0, F1 = 1, F2 = 1, and the recursive term is…

A: Given: Consider the Fibonacci series F0=0, F1=1, F2=1 and the recursive term is defined as…

Q: Given a periodic function -x, -L<x<0 { f(x)= x, 0<x<L f(x+4) Therefore L = 4.

A: Given function is fx = -x, -L&lt;x&lt;0   x,   0&lt;x&lt;Lfx+4

Q: Jack is an aspiring freshman at Ulern University. He realizes that ”all work and no play make Jack a…

A: Solution :-

Q: Let A = 3) 22 13 9.1 Find the eigenvalues of A.

A:

Q: 1. If JK is formed by J(-7,-8) and K(1, 4), determine if L(-9,5) lies on the perpendicular bisector.…

A: (a) if a point lies on the perpendicular bisector of a segment then it satisfies the equation of…

Q: Solve the linear programming problem by the simplex [yz-2x+34 method. Minimize 10x + 4y subject to…

A:

Q: How many years if the compounded total conversion periods is 99 when compounded monthly?

A: Solution: Given, Total conversion periods = 99

Q: (a) Evaluate the integral: k = Your answer should be in the form kn, where k is an integer. What is…

A:

Q: se Newton's method to approximate all the intersection points of the following pair of curves. Some…

A: The equation in the form y=f(x) represents a curve in the xy plane. The point of intersection of the…

Q: The Eigen value of matrix p is (solve) ГО 0 LO 1 0 0 1 -3 -4] (0,-1,-3) O (0,2,3) O (0,1,3) O…

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Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A: Given that Centerville is the headquarters and the cable company has to expand service to two nearby…

Q: Let 1 < p <∞ and f, g € LP(μ). Then show that ||ƒ +9||p ≤ ||f||p + ||9||p.

A:

Q: A study was made on the amount of converted sugar in a certain process at various temperatures. The…

A:

Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

A: We solve by using properties of eigenvalues and eigenvectors.

Q: 2. Consider the integral ² sir sin redr which can be computed exactly. a) Apply Romberg integration…

A:

Q: у 10 y 10

A: Given rt=t7i+t-1j We know that  rt=xi+yj Therefore comparing we get  xt=t7t=7xyt=t-1 substitute the…

Q: Prove: If {u. ) and {W} span the same vector space, then u, are linearly dependent.

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Q: b) Solve the following system of differential equations: [2 »-8 where A = 0 0 dy(t) dt = Ay(t) with…

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Q: if Z-4x²-8xy +7y5-3 then find Z, Zy, Zxx, Zyy

A: We know that ,  Partial derivatives of any function having several variables is it's derivative with…

Q: The order is for Erythromycin suspension 0.3gm po. On hand is a vial of 8gm Erythromycin for oral…

A:

Q: 5 a) Let the sequence {an}=1 is defined by a₁ = 4 and an+1 =; for n E N 6-an i. Prove that {an}=1 is…

A: (a) The given sequence is an+1=56-an ∀ n∈ℕ and a1=4. To find: the answer of the given options.…

Q: Solve the equation. dx dt = 2x1² An implicit solution in the form F(t, x) = C is =C, where C is an…

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Q: 4 0 -7 075 5 1 2

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Q: Let f(x) = { 3x² + 2, بی کر 2x - 3, if x < 3 if x ≥ 3 be a piecewise function. Evaluate 3 √₁³ f(x)…

A: It is known that: ∫xndx=xn+1n+1+C, where C is the integration constant.

Q: The solution of the system X=| 42 -(-43)x: X(0)-(1) is Select the correct answer. t+ O a. °*x-[( ² )…

A: To Solve: The given system  X'=42-30X ; X(0)=10.

Q: Put the following program in standard matrix form: Z = X₁ + X₂ X1+ 5x2 <5 2x₁ + x₂ ≤ 4 maximize:…

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Q: The River Clinic has two general practitioners who see patients daily. An average of six patients…

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Q: Find fff y av, y dV, where E is the solid bounded by the parabolic cylinder z = ² and the planes y =…

A:

Q: 8. Use Euler's Formula to find the number of vertices in the polyhedron with 8 to sens faces, 6…

A: ANSWER 8: 2 hexagons + 6 rectangles = 8 faces As we know that,  2 hexagons have 12 edges (6*2=12)…

Q: Justify your answer. Which of the following sets of linear equations cannot be solved using an…

A: Gauss Seidel Method is one of best iterative method to solve set of linear equation. The method…

Q: Examine the increasing and decreasing of each of the following sequences, whether they are bounded…

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

Q: What is the correct periodic function represent the given graph -21T -2x+2π, -<x<0 0<x< f(x)={-n,…

A: GIVEN GRAPH equation of line passing through x1, y1 &amp; x2, y2 is f(x)=y1+y2-y1x2-x1(x-x1)

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.