Q1: Find a matrix P that diagonalizes A , and check your work by computing P-'AP ; [2 0 -2 1) 4 = % ) 2) A = |0 Lo 3 16 -: 3

Q: Watch the video and then solve the problem given below. Click here to watch the video. Find an…

A: Solution

Q: For the following system: Use the Lyapunov function V(x) =r+r2+ to show that the system is stable.

A: The given system is: x˙1(t)=-x1+x2.............(i)x˙2(t)=-x2..................(ii) Given Lyapunov…

Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

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Q: After we review on how to solve system of linear equations using algebraic methods (substitution,…

A: We can solve this using definition of matrix

Q: zy (Smxa CosX) Axー Sinhy

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Q: Find the work done by the vector field F = (– 4z, – 3y, – 2x) in moving an object along C in the…

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Q: x1 x2 x3 x4 x5 x6 (Note that this is a graph of f', not a graph of f.) At which of the marked values…

A: Given graph is the graph of a derivative of a fucntion f(x).Here is the detailed explanations of…

Q: The region bounded by f(z) = - 3 sin z, I = 7, I = 27, and y = 0 is rotated about the y-axis. Find…

A: To find the volume if the region bounded by the below curves is rotated about the y-axis.…

Q: Evaluate e dV where E is the region within the cylinder x? + y² = 2 bounded above by the paraboloid…

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Q: Evaluate ([7y'e*+ dA where D is the region bounded by y = 2 x , x=9 and the x-axis.

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Q: Q1: Below is the population of the city in lenses taken once every 10 years. Estimated population in…

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Q: The average value of a function f(x, y, z) over a solid region E is defined to be 1 favg f(x, y, z)…

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Q: 1. Prove that a subgroup which is generated by W-marginal subgroups is itself W-marginal.

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Q: I Example 10.23. Given dy x?(1 + y) and y(1) = 1, y(1.1) = 1.233, y(1.2) = 1.548, y(1.3) dx = 1.979,…

A: We can solve this question using Adams bashforth method

Q: 5) 6) 2ft 8 yd 7 yd 3.5 yd- 4 yd 3.5ft 3 yd

A: 5. In the trapezoid there are four rectangular faces and two trapezium shaped surfaces.

Q: Let u = and v = Show that is in Span (u, v} for all x and y.

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Q: 39. If the scale factor of two similar solids is 5:13, what is the ratio of their corresponding…

A: We use properties of similar solids.

Q: 2. Let X = {a,b,c,d} and T = {ø,{a},{b},{a,b},{a,b,d},{a,b,c}, X}. a) Show that T is a topology on…

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Q: 2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration ) 3x1 - 0.1x2 -…

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Q: For the weighted voting system [12: 8,6,5,3]: a. List all coalitions; identify which are winning…

A: Given weighted voting system [12: 8, 6, 5, 3]. a. To list all coalitions and identify the winning…

Q: Example 103. Using the sheting metked, solre the boundary value problem : Mosdy=x(x), x@ = 0 and…

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Q: Two tugboats that are a = 145 ft apart pull a barge, as shown. If the length of one cable is b = 218…

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Q: I Example 10.24. If = 2e*y, y(0) = 2, find y(4) using Adams predictor corrector for- dx mula by…

A: Euler's modified formula  ym+1=ym+hf(xm+12h,ym+12hf(xm,ym))   Adams predictor corrector formula…

Q: (a) Define f : R × R→R×R by f(x,y) = (2x – y, x – 2y). Prove that f is one-to-one. Describe f-1.…

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Q: 2. Use a Taylor polynomial to show that, for large wavelengths, Planck's Law gives approxi- mately…

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Q: What is the minimum order of the Taylor polynomial centered at 0 for cos x required to 10-42

A: Given,        cos(-0.35) with an absolute error no greater than 10-4.

Q: What is the differential equation of the solution y= Ce + C2e + C3e1 + C4e-13? 7 Differential…

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Q: Answer the following system of linear equations though: a) Inverse of a Matrix (using Determinants)…

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Q: Calculate x²z ds, where S is the cylinder (including the top and bottom) x + y = 16,0 < z < 5. (Use…

A: We can solve this using parametric equation

Q: Two groups of students are given a problem-solving test, and the results are compared. Mathematics…

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Q: 34. What is the volume of the composite space figure to the nearest whole number? The figure is not…

A: Solution:-

Q: The graph of f is shown below. Let g(z) = | f(t) dt. Order g(6), g'(6), and g"(6) from smallest to…

A: Introduction: Differentiation under the integral sign is a calculus procedure for evaluating…

Q: Using False Position Method, get the roots of the following equations. Show your solution via excel.…

A: See below

Q: 7. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the…

A: Given data A ladder slides a vertical wall at rate of 0.15 m/s  find the length of ladder = ?

Q: 2 cos Vx = cos (2x-1) 0<xs1

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Q: a) Solve the following integral: = | v* dædy I = where the region R is: 1 { (2, v) E R² : < y² < 2r,…

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Q: Utensil Limited deals in the production of cups and bowls. The production requires machine and…

A: Machine hours per unit labour hours per unit Cups 4 3 Bowls 2 2

Q: forced response of the differential du

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Q: Example 10.17. Apply Runge-Kutta method to find approximate value of y for x= 0.2, in steps of 0.1,…

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Q: Q2: Discuss the fundamental theorem for gradients usingE = 5x2 î + 20 xy j+ 10 yz3 k and the…

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Q: 3. Prove that 0 divides an integer a if and only if a 0.(In your proof. you can freely ILNE your…

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Q: NEED ASAP laplace{cos3t cos8t}

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Q: pasitian ofa weight atet achod to aspring ir slt 3= -3C054TE incher arter t sec. Complete paris…

A: Given- The position of a weight attached to a spring is st = -3cos4πt inches after t sec.  To find-…

Q: Referring to the graph above, which of the following statements is correct: O A.f"(x) changes sign…

A: Solution

Q: S2 Sinx

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Q: Replace the first column of the coefficient matrix with the constant terms of the linear system and…

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Q: (b) An insect is flying along a path r(x,y,z) = (x(t), y(t), z(t)) in a room where the temperature…

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Q: Solve the equation. (2xy jdx + (2 - 4x²y-)dy = 0 An implicit solution in the form F(x.y) = C is =C,…

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Q: An isolated farm house is located on the bank of a straight canal that is 200 m wide. Electric power…

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Q: O O o O C оооо о ооо о о O o o o o o o o o § Given sec t 17/8 and angle t is in quadrant IV, match…

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