Given that the matrix A has eigenvalues A = 2 with corresponding eigenvector i = and Ag = -1 with corresponding eigenvector ig =f find A. A =

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A: Consider an exponential function, A=A0e-kt since, it is given that initially 550 g of salt in 10…

Q: 3.2 † Prove part (ii) of Theorem 3.1.2. Theorem 3.1.2 Let f and g be in R[a, 6} and c e R. Then i.…

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Q: Given: U = {x/x < 21} note: x are integers A = { x/ x< 11} B = {x /x even nos. < 21} C = {x/x…

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Q: Q1. The test scores on a test were recorded for 8 students as follows: 71, 93, 91, 86, 75, 73, 86,…

A: Given that,The test scores on a test were recorded for 8 students as follows,71, 93, 91, 86, 75, 73,…

Q: 58. Use a calculator with an exponential key to find values for the following: (1.1)10, (1.01)100,…

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Q: Let the supply and demand equations be given by p= -r – 2x + 100, p= 8x + 25, respectively, where x…

A: Solution:-

Q: Consider the following. u = (-2, -6, –7), v = (-8, 1, 9) (a) Find the projection of u onto v. 212 53…

A: Vector Projection of  u onto v projvu=u.vv2v Where u.v is a dot product between u and v and v is…

Q: 41. Find the weage value of the periodie waveform of Fig 94 ver one full cyce (V) FIG. 94 Poblem 41.

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Q: egral dS over the su 9, where n is th surface element

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Q: 1. Consider the following nonlinear system: ài = fi(r1, r2, r3) + 91 (a1)u à2 = f2(a1, #2, 23) %3!…

A: Given,x1.=f1(x1,x2,x3)+g1(x1)…

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A: Given: H(x)=sinh3x-11+cosh3x-1 To solve: The given function.

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Q: Let scxッリ):1W1く1っくる ニ be the Square with Sides of length 2. Let In be the Square pinmed at (0,0)…

A: Given,I=x,y: x≤1 , y≤1 : Square Length of square=2In is rotated through an angle 2πnθTo find:…

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Q: 3.19 Suppose if r = 0, f(x) = {-1)" if r E n+1' n where n E N. Prove: f € R[0, 1], even though f has…

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A: Given function is f(x) = 3|x| + 5

Q: Q1\calculate x1, x2, xn from the following equations: -3x1 + 9x2 + x, = 2 5x1 - 2x2 + 3xn = -1 2x1 -…

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Q: Find the Laplace Transform of each of the following functions. You may use the tables or suitable…

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

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Q: Let c be a positive integer. Compute the values of the following improper integrals. Leave your…

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Q: 60. Radius of an Aluminum Can The radius of the circular top or bottom of an aluminum can with…

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Q: 3.52? + 0.5 and The base of a solid is the region in the xy-plane bounded by the curves y = e3.5z, x…

A: Let A(x) denote the cross-section area in a plane perpendicular to the x-axis, where a≤x≤b. Then,…

Q: 2. (a) Suppose f (5) = 12.81750604, and f(6) = 9.914463077, use linear Lagrange interpolation to…

A: Suppose  fx1=y1,fx2=y2, fx3=y3, ···, fxn=yn. Then using n-1 degree Lagrange interpolation the…

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A: Introduction: Fractions are represented in mathematics as a numerical value that defines a portion…

Q: 3.5 Suppose f E R[a, b] and g(x) = f(x) except at finitely many points in [a,b]. Prove: g E R[a, b]…

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Q: INSTRUCTIONS: Solve the following problems completely. 1. Mr. Stevenson owns an oil refinery in…

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Q: Find where the first derivative is equal to 0. Er ****. lif

A: Introduction: The concept of critical point is very important in Calculus as it is used widely in…

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Q: a) Determine which of the following vectors form an orthogonal basis. 8. 3 9. -23 -11 13 14 85 14 17…

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Q: Prove and show complete solution: Let ƒ be defined on an open interval (a, b) and assume that ƒ has…

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Q: EXAΜPLE2 Determine whether the vectors vi-(1,-2,3),v2=(5,6,-1),v3-(3,2,1) are linearly independent…

A: Given vectors are v1 = (1, -2, 3), v2 = (5, 6, -1), v3 = (3, 2, 1)

Q: D. Evaluate the truth and Falsity of each of the following statement and support your answers? Let A…

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Q: A Markov chain is described by the transition diagram 1/4 1/4 S 1/2 1/2 1/2 1/2 1/3 1/2 (S) Ss 1/3…

A: Given is a Markov Chain with the transition diagram.   Given that the process starts in state S0…

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A: Introduction: The cosine function is a significant trigonometric function. It is a periodic function…

Q: Evaluate 6z ds where Cis the curve y = -72² from (-1,-7) to (1, -7). Enter the scalar line integral…

A: To evaluate ∫C6xds where C is the curve y=−7x2 from −1,−7 to 1,−7.

Q: 1. Find the domain and range for the function z = f(x, y) where f(x, y) In ((4 – x² – y²)(x² + y² –…

A: ln((4-x^2-y^2)(x^2+y^2-1))&gt;0

Q: 2. Given the following numbers: 1, 2V5, v8, V3, V27 (a) Approximate the square root terms using the…

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Q: 2. Determine the critical points of the function: R(y) : y2 – 6y -

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Q: -1 4 and b = 1 2 Let A = (a) . 'Find the orthogonal projection of b onto Col A. Use your answer in…

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Q: 5. Let f : R → R be defined by f(x) = { 0 if r € Q, x2 otherwise. Prove that f is continuous at 0…

A: Here we prove the problem using the definition of continuity and a theorem.

Q: 3. let F= Kxyz, xy, xfuz> where $ consists of the top 5, and the four Dides (mot the bottom) of the…

A: Given- Let F→ = xyz, xy, x2yz.  To find- Use Stokes's Theorem to evaluate ∬Scurl F→·dS where S…

Q: y" – 2y' + y = [-6x – 8] cos(2.x) + [8x – 11]sin(() 2x) %3D

A: We have to solve the differential equation y''-2y'+y=[-6x-8]cos2x+[8x-11]sin2x.

Q: Calculate F-dr in the case when F(z,y) = (7y - sin (y) + 8)i+ (72 -e cos (y))jis conservative, and A…

A: Given that: F=7y−exsiny+8i+7x−excosyj and, rt=2tsinπt2i−π2sinπt2j for 0≤t≤1

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Q: (30cis80°)/(10cis50°) is equal to?

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