Given that A = (¹ 1) •[1]. and -1-eigenvector equal to 2 -1 +628968 A = has eigenvalues -1 and 3 with 3-eigenvector equal to -1 2 , fill in the blank:

Q: what is the vertical intercept of (1,750) and (2,562.5)

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Q: Show that in any collection of 7 or more natural numbers there are ALWAYS TWO numbers whose sum or…

A: Given 7 or more natural numbers ,we have to prove that there are always TWO numbers whose sum or…

Q: Classify the equilibrium solutions as asymptotically stable or unstable. dy = y(y - 3)(y-5). yo 20…

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Q: 3 By direct partial integration, Solve the following PDES 8- J 8²u axdy 2 = cosx cosy, x4(X₂ #) =X U…

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Q: Let R be a field of real number. Then Z8 is a subfield of R. 40 To fo

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Q: I. Solve the following Linear Systems of Equations by Gaussian Elimination: 1.) 6x + 2y4z = 15 -3x -…

A: Given system is 6x+2y-4z=15-3x-4y+2z=-64x-6y+3z=8 We can write it in matrix form…

Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: In a radioactive series consisting of four different nuclides starting with the parent substance N₁…

A: Here, we are given with radioactive series.

Q: There is a basis S = (U₁, U₂, U3) where u₁ = (1,1,1), u₂ = (0,1,1), u3 = (0,0,1). Convert these…

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Q: 4. Check whether the following transformation is an isomorphism from M₂2 to R4 a [a b] a+b a+b+c ]…

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Q: Q2) Solve the following partial differential equation: де a²0 =h². Ət Əx² Given the following…

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Q: determine the diagonalizing matrix: X1 = λαι X2 + X3 = λχη – X2 + X3 = λx3

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Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: 5. Use Cartesian coordinates to evaluate Jff ² av D where D is the tetrahedron in the first octant…

A: 2x+3y+z=6 z= 6-2x-3y When z = 0 6-2x= 3y y= (6-2x)/3

Q: A feedback control system modelled by the differential equation * + ax + kx = 0 is known to be…

A: Problem is solved using concept of Lyapunov Function.

Q: 4. Evaluate the double integral: L Loddy. dx dy. y¹/3 x7 +1 (Hint: Change the order of integration…

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Q: QUESTION 2 The height, h, of a cylinder is two times its radius, r. If the radius of the cylinder is…

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Q: Show that the eigenvalues of the symmetric matrix 10-4] A = 05 4 -4 4 3 are 9, 3 and -3. Obtain the…

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Q: An 11-m beam is subjected to a load, and the shear force follows the equation V(x) = 5 +0.25x² where…

A: We can solve this using given information

Q: You need to schedule a chess tournament for 200 students in a junior high school. How many games…

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Q: Question 41 EULER'S METHOD FOR SOLVING DIFFERENTIAL EQUATIONS NOMERICALLY y = f(x,y) y(x) = y Step…

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Q: Estimate the absolute error in storing a quantity V = 804.03 on a computer using double precision…

A: Solution:- Relative error: Relative error = absolute error/ Real value for example: In a measurement…

Q: By direct partial integration, Solve the following PDES 8- X²Z 5 4 dz , z(x,0) = x² +X, Z (2,y)= 3y"…

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Q: Let :Q-21 → be an epimorphism. Hand written plz a) Show that f(n)-n for every n e Z. b) Deduce that,…

A: Here f:ℚ→ℚ is an epimorphism. That is f is a surjective ring homomorphism from ℚ to  ℚ. Now we can…

Q: 130. y" = 3y + xe xẻ -x

A: Solution :

Q: b.S) suppose a pendulum with length L (meters) has angle (radians) from the vertical. It can be…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Find the general Solution of the following PDES ди -5X -3x 17 9 = 2 ди +u, ucx;o) = ду + 2 е ax…

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Q: Let R be the region in the first quadrant bounded below by the parabola y = x² and above by the line…

A: We can solve this using given information

Q: Solve the given system by: a. LU factorization b. Cramer's Rule 2 -4 1 -4 0 3 -1 0 1 -1 3 Show…

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Q: F2. Find B A = { f(x) = 1 A={10, 9, 7, 0, -7} f(x) = x² +6 A f B = {} B

A: Solution :

Q: 3. Set-up the iterated double integral in polar coordinates that gives the volume of the solid…

A: Volume enclosed by hyperboloidz=1+x22+y22 under the planez=5⇒1+x22+y22<5⇒1+x22+y22<25⇒…

Q: 6. Evaluate the line integral ² dr+r²y dy where C' is the rectangle with vertices (0,0), (5,0),…

A: Using Green theorem

Q: range for the function. e function. he function along x-axis by (3/2) u me resulting function

A: Given the function x²+y²=2²

Q: 3 Linear Mappings In which of the following cases is the mapping T: VW linear (F= R)? (a) V=W = R²,…

A: Note:- As per our guidelines, we can answer the first part and it's three sub - parts  as exactly…

Q: Suppose that f(t) is differentiable and positive for a stsb. Let C be the path r(t) = ti + f(t)j, a…

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Q: If 4 peaches cost $1.10 what will 6 peaches cost

A: Given, 4 peaches cost = $ 1.10 1 peache cost = $ 1.10/4                            = $ 0.275 Now, 6…

Q: Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x² and the…

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Q: The equation y = C₁e(-x) + C₂e(-2) is the general solution of:

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Q: = 3. Find the pointwise limit g of the sequence {n} on I = [0, 0), where gn(x) = the E-definition…

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Q: 1. Solve the following system 2x₁6x₂x3 = -38 -3x₁ - x₂ + 7x3 = 34 -8x₁ + x₂ - 2x3 = 20 using the…

A: Let us solve the given system of equations using Jacobi method in the next steps.

Q: Q1. Find the point of intersection of the lines L, and Ly whose equations are given as: L₁: (x = 1,…

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Q: Determine the antiderivatives of the following functions: 1. f(x + 1)100 dx 2. f(x²+x)¹0 (2x + 1)dx…

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Q: 55² +25-4 (S+₁) (S+2) (S+ 3) Taking Laplace transform

A: The given expression is                5s2+2s-4(s+1)(s+2)(s+3) First we shall write the given…

Q: By Separation of variables, Solve the followin PDES :- • Su d2u dx2 @ o dt U (0₂t) =(4,t) = o u…

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Q: g (right) = 9772 +98t + 99, ** <t <910

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Q: het hey2= усаз хуся) - 79 (2) - you tay al soluc: hq = 36t - 242t > " юные '=at усо) =ц' соз су" (o)…

A: As per the instruction, we will be solving part (a). For (a), Let L(y)=y(4)+y(3)-7y(2)-y(1)+6y and…

Q: Find the general Solution of the following PDES • 3 их + 2 Иу U (x₂0) = 4x 2 e (3y-2x)/2 ans- u(x,y)…

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Q: Find the wronskian of f1=x4, f2=-x4, f3=x2, f4=-x2

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Q: y"" - 3y" - y' + 3y = 0

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Q: 1. Use centered-difference approximation to estimate the first and second derivatives of y = xex at…

A: Given function is y=f(x)=xexx+1 and h=0.1 O(h2) formulae f'(x)=f(x+h)-f(x-h)2h…