equilibrium

Q: Problem 4. For the matrix A find all eigenvalues and all eigenvectors. Determine an algebraic and…

A: Given A=4-234 We will find all the eigenvalues and eigenvectors.

Q: min flx,,x) = (x, - 1)*+ (n,- 1)² Subrected to 」+Z2コ4 X,ーュ-2 き6 Hint : Convert to standard fom and…

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Q: Roslyn plans to use her savings to pay for a holiday. The holiday will cost $6000.  What minimum…

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Q: Let -2 -3 3 4 2 and let W the subspace of R4 spanned by i and v. Find a basis of W+, the orthogonal…

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Q: Find all the values of x such that the given series would converge. (32)" n-1 The series is…

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Q: Suppose that (Sn) and (t„) are convergent sequences with lim s, = s and lim t, = t. Then b) lim…

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Q: Let X be the graph of f(x) = r/3 given below that is, X is the subset of R x R satisfying the given…

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Q: First, it could buy at par a $10,000 government bond with a $500 annual coupon that matures in three…

A: We have three different cases and we need to find the interest rate for these situations.

Q: Thedremilf fIa b}8is.cantlunans funchianthen fERiemann Ianb'sr Does the conkerse af the…

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Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

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Q: e) x·y= 0 iff x = 0 or y= 0. ) x<у iff — у < -х.

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Q: Sketch the graph of a single function that satisfies all of the given conditions. (a) f'(-1) = f'(1)…

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Q: If the sum of eigenvalues of matrix 16 9. 7 A = -9 k2 3 is 29, then the possible 16 9 5 values of k…

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Q: Q2) Find the optimal solution using simplex method Max z = 8x, + 10x, + 7x3 s.t: 4x, + 6x2 + 3x3 5…

A: The problem is max z=8x1+10x2+7x3 subject to 4x1+6x2+3x3≤607x1+2x2+5x3≤406x1+6x2+9x3≤36…

Q: A curve has an equation of 9x2 + 25y2 = 225. Compute the second eccentricity of the curve. %3D 1.33…

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Q: A radio transmission tower is 424 feet tall. A guy wire is to be attached 6 feet from the top and is…

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Q: So (b) dr centered at a = 0 (Use your answer to part (a)!) %3D

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Q: Solve the initial value problem y"- 8y'+52y = 0, y(0) = 1, y'(0) = -3.

A: Note: We are allowed to solve one question at a time. Use the given differential equation.

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

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Q: s defined by + x). The value o ind off to 1 decimal

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Q: How many terms of the series 00 (-46)" 1+2" are needed to compute the sum of the series with an…

A: Given: A series ∑n=1∞-46n1+2n. To find: Number of terms needed to compute the sum of series with an…

Q: 2s + 3 Find the Inverse Laplace Transform of (s+4) 3

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Q: 3. Find the general solution of the system: dx = x + y dt dy -2x – Y dt

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Q: Q1) Write True or False for the following: 1. To optimize the profit for a certain company we…

A: This problem is related to the linear programming problem which is based on optimization .

Q: Hawad Find the areas fak the fallowing regions: Area enclased by the diagram V= sin 3

A: Sol

Q: 100. Wesley willed his estate to Margaret, bi Betty Jo, and Johnny. He gave Margaret $20,000. Betty…

A: According to question  He gave Margaret = $20,000 Amout of  Betty jo = 22*20,000 Amout of Johnny =…

Q: Let '–12] 9 -3 and ÿ= 10 -6 Use the Gram-Schmidt process to determine an orthonormal basis for the…

A: The solution is given as

Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

Q: 3. Integration by parts a.S 18x ( x+ 4)3/2

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Q: There are 5 performers who will present their comedy acts this weekend at a comedy club. One of the…

A: Given in question,  There are 5 performers they  will acts their comedy

Q: For the given matrices, verify directly that (RS)*=S*R* and (EP)*=P*E* 3- 2i 2 + 3i 1-i II. E = P =…

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Q: 3. Let f(r, y) = Isin ry. Find: (a) fa(1,9) (b) fy(1, y) (c) fyy(I, y) (d) fyz(I, y)

A: To find  Partial derivatives of the given function.

Q: Differentiate Numerical Methods and Analytical Methods

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Q: The curve given by the polar equation r = a(1– cos ) is called a The cardioid has equation (22 + y?…

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Q: (a) A hyperbola in standard position has equation 36x2 - 49y? - 100 = 0. (i) Find the vertices and…

A: As per guidelines we experts are allowed to solve only three sub-parts at one time. please reupload…

Q: I-y 1. Let f(r, y) Find: Ity+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+ 1, y)

A: Use the given function.

Q: 2z2 - z+1 3. Evaluate J.E- 1)2(z+1) dz for T below. |

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Q: 3 1 1 -1 1 Let A = [1 1 B= [0 Find the least-squares solution to the equation Ax = B.

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Q: 4 Solve y" – y" – y' + y = 2e¬t + te' + 3 by using both the method of undetermined coefficients and…

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Q: Let X be the graph of f(r) = r/ given below that is, X is the subset of R x R satisfying the given…

A: Sol

Q: Let X = R? – (0,0) and - be defined over X by setting X~y + y = tx for some non-zero t e R. (b)…

A: Sol

Q: Evaluate the following integrals using Cauchy Residue Theory. All closed contours are traversed CCw.…

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Q: Suppose thay a drug is administered to a person in a single dose, and assume that the drug does not…

A: Given: x1(t) and x2(t) are amount of drug in the body and urine at time t hours respectively and,…

Q: Find the eigenvalues of the matrix A. -1 4 -5 A = -5 -4 24 15 The eigenvalues are A1 < d2 < Ag <d4…

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Q: Please correct the solution, there is an error in the solution Example: Fined all eigen values and…

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Q: (x – 2)? – In x = 0, [1,2]

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Q: Find the 3x3 homogeneous matrix for 2D-reflection across a line that goes through (B, C) and makes…

A: As per the question we have to to find the transformation matrix which reflects any point on 2d…

Q: 7. Graph a quadratic that has a vertex of (2,-4) and passes through the point (4,8). all the other…

A: Introduction: The standard form of the quadratic equation is given by, y=a(x-h)2+k Where (h,k) is…

Q: Prove that there exists a positive integer n >1 such that 2n2 + 3n + 11 is prime.

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Q: a) ir(A - 1)1- ( -2) %3D Find the matrix A

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