Given that 7₁ = [] A₁ = A₂ = and 7₂ = [] are eigenvectors of the matrix determine the corresponding eigenvalues. A = 11 12] -9 10

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A: As per the question we are given the 3d equation of a surface in cartesian coordinates as :  z =…

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A: Given That : function f(x)=3x4-3x2 To Find : Using Newton's method find the zeroes of f(x) =3x4-3x2…

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A: The graph of the function is the collection of ordered pairs of coordinates of x and y in the…

Q: Question 2 Solve the differential equation with initial conditions y' - 3y 10y = 4e5t - y(0) = 0,…

A: Given differential equation is y''−3y'−10y=4e5t with initial condition y0=0 and y'0=1. Method of…

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Q: please

A: We use definition of Heaviside function.

Q: Let the sequence hn = 2n³ + 3n + 1. Find a formula for k=0 hk.

A: ∑k=0nk=n(n+1)2∑k=0nk2=n(n+1)(2n+1)6∑k=0nk3=n(n+1)22

Q: Solve the following pairs of simultaneous differential equations: Given that, when t=0, x=0 and y =…

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Q: Graph the function f(x) = u₂(x) ln x + u5(x) (ln(10 − x) – In x) -

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Q: Find the coordinates of the centroid of the region bounded by y=10x² and y=2x². The region is…

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Q: Question 13 Suppose f: RR is continuous, and let a, b, E R. For which choices of a,b is the function…

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Q: X = 4 0 1 1 0 2 -3 6 -12 10 -1 5. - = 1 2 [X1 X2 X3 X4]

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Q: 1. Let A = {1, 3, 12, 35}, B = {3, 7, 12, 20), and C = {x | x is a prime number}. List the elements…

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Q: (b) The quadratic equation x² + px + q = 0 in which the coefficients p and q are real, has a complex…

A: Sol

Q: Find the general solution of the given ODE du dr x+2y-3 2x+y-3

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Q: Find the solution of the initial-value problem of ry³ √1+z² y(0) = -1

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Q: The approximation of 1 = f(x + 1)e** dx using composite Simpson's rule with n = 4 is: O None of the…

A: ∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+fxn-1where Δ x = b-an, n is evenApply Simpson's…

Q: 1. Prove cos 8-sin 8 cos 8 + sin e = sec 28 tan 20.

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Q: Q17. Consider the graph with the following vertices, edges, and weights (weights are stated as the…

A: First highlight the weight of each edges in graph. A spanning tree is a sub-graph of an undirected…

Q: Solve the following initial-value problems starting from y(t = 0) = 1 and y(t = 0) = −1. dy dt = 2t…

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Q: Use a scientific calculator to answer this activity. A large slab of meat is taken from the…

A: Given the equation for measuring temperature of a meat slab at time t minutes is  T=170-165e-0.006t…

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A: Hint: Here 3D points are given we need to plot them on a surface. Write the general process to plot…

Q: What does the 400 Blows teach filmmakers that they should do about their films and filmmakers

A: The 400 Blows directed by Francois Truffaut is an iconic film of the late 1950s that refined French…

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Q: Consider the following table that provides the value of a function f at specific points x: 0 f(x) 1…

A: In this problem we use composite Trapezoidal formula and by simple calculate we will get the result.…

Q: Assume that M = N₁(h) + a₁h² + a₂hª + azh6 + ... Then using Richardson extrapolation N4 (h) is of…

A: Use Richardson's extrapolation formula for even power series, to obtain the solution.…

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Q: In each of Problems 1 through 13, use the Laplace transform to solve the given initial value…

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Q: Kindly

A: We compute required matrix.

Q: If cos(x): Give exact answers. sin COS T 2 (²) 2 tan (²) 2 3 8 Submit Question (in Quadrant 3), find…

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Q: 2. Determine whether the following vectors span the vector space P₂: P₁ = 1+ 3x + 2x², P2 = 3-x+3x²,…

A: We have to determine that whether the following vectors span the vector space P2 or not : p1 =…

Q: The following are approximations of: 14.14562 15.07489 N₁ (h) 19.07298, №₁ = Assume that M = N₁ (h)…

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Q: In Problems 1-5, let R be the region bounded by y = 4(x - 2)² and y=x. Each problem will describe a…

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Q: consider the following Extended Form Gam (2,3) (B,A') (A,A') A (B',B') (A',B') P1 A' B (5,5) A' A P2…

A: Given below clear explanation

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Q: 3. Write out in set notation: a. The set of all integers divisible by 3 b. The set of all primes…

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Q: By using Laplace transform to solve the IVP: y" - 4y' +9y=t, with y(0) = 0 and y'(0) = 1 Then Y(s)…

A: Given IVP is  y"-4y'+9y=t ......(1) y(0)=0,y'(0)=1 .....(2) We fin Y(s).

Q: Solve the system of equations using the graphing method. 2x - y = 3 x + 2y = 4 2x + 3y = 7 Write the…

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Q: Rewrite the fourth-order differential equation y(4) — 3ety" + (sin t)y" = t³y as a linear system of…

A: We convert given higher orders ode into linear system of first order differential equation.

Q: Consider the vector space R4 under usual addition and scalar multiplication. a) Determine whether…

A: Given : (a) S ={ (2b-3c  ,b  , c ,   b-5c ) b ,c are real numbers  }                (b) S=1,2,3,0,…

Q: Ex 8. Let B = [(1,0), (0, 1)) and B' = (v₁, V₂]. Find B' so that (1:1) (1) = x² + 2xy + y² + 10x -…

A: As per the question we have to find the change of basis B' = [v1, v2] so that the bivariate function…

Q: Use the Laplace transform to solve the following initial value problem: y' + 3y = 0 y(0) = 4, y (0)…

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Q: Question 7 Calculate 9-1{ :} 55 +6 52 +65 +13

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Q: 18. Construct an expression tree for (7 * 8) + (25 − (10 / 2))

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Q: Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an…

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Q: Two random variables X and Y have a joint pdf fxy(x, y) = x²y for 0<y<x<2 Find the marginal density…

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Q: Solve (sin x − 1) {cos x - 1) = A. B. τι 5τ t/m 10 ENO 3 2 3 =0 where 0≤x≤ 2. C. D. 5T 3 nn Sn t/m…

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Q: Answer the following. Do the best you can entering in mathematical statements into the answer field.…

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Q: the population of a pod of southern right whales has doubled in size recently over a 9-year period.…

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Q: Q7. (a) Q7. (b) (i) Find the coordinates of the stationary point of the curve with equation (x + y -…

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