matrix product AB, if it is defined. 1],B= -1 undefined. 1 -8 4 40 -22 2].

Q: 5. x' = 1 1 6 161 611 X

A: We solve by eigenvalue and eigenvectors method.

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Q: iii) Show that the sum of the degree of all vertices in a graph is an even integer.

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Q: Suppose the eigenvalues of a (3 × 3) matrix A are 2, -1/2, and 1/3, with corresponding eigenvectors…

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A: Sol:- Stem & Leaf Plot:-

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Q: 2. Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature…

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A: We want to find true option.

Q: Compute Y (II) withe y" y'= -8 (Sinx+cosx. Y(T) = 0, y¹ (F) --8, by @ Taylor Series

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A: Please see the attachment

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Q: Q2 (A) At what points f(x, y, z) in which the function f(x, y, z) = -√x²+y² is Z- continuous?

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Q: 3. Graph both curves (a) y = x - 2x² and (b) y = x-2 and their curvature function () on the same…

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Q: Consider the following LP problem: minimize z = -X₁ + X₂-2x3, subject to X₁ + X₂ + X3 ≤6, -X₁ + 2x₂…

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Q: solve the problem The plot best represents which type of growth?

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Q: H) is a subgroup 3. Let G be a group. For each a E G, define cl(a) = {xax-¹|x€ G}. Prove that these…

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Q: Cn= Ilz = = JT12 1 -jnwo -jnwet dt -jnwot e T12 1 1 -7/₂2 To To 4/2 [² jn nire To 4/2 लहन =+o Can…

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Q: Find the value of 4 sinc² (a)o dt

A: Given,           4∫-∞∞sinc2t4dt

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A: The region is

Q: Question 2 (a) i. Find the z-transform of the following sequences: {9k +7}=0 ii. {5k + k}=0

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Q: Solve dx = y dz dy = -x dz for X=0-5 X (0) = 0 Y(0) = 1

A: Given that dxdt=y, x(0)=0dydt=-x, y0=1 Differentiating first equation, we get…

Q: 3. Evaluate the following limits: z-1-i (a) limz→(1+i) (z²–2x+2, 2 z²+4 (b) limz→2i 2z²+(3—4i)z—6i

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Q: Evaluate the given integral by using a transformation to cylindrical coordinates: f (x2+2)¹/2 dv,…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: 4. The group defined by the following table is called the group of quaternions. Use the table to…

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Q: 4. Explain how to convert 2² 2² 2² dz2' 7²= + дх2 ' дуг in the Cartesian coordinates system to + 10…

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Q: Use the Chain Rule to find the indicated partial derivatives. u =    r2 + s2,    r = y + x cos(t),…

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Q: Theorem 2.9. Let n be a positive integer and write it as n = N²m, where m is square-free. If m…

A: n be a postive Integer and wollte it as mn = N ^ 2 * m where m is square furee. fm Contains no…

Q: <,3ے - رئی - 29

A: As stated in Question, we have answer only Question 29.

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Q: i) Solve the differential equation + dx +tan x tan y = cos x secy.

A: dydx+tanxtany=cosxsecy We have solve the above differential equation.

Q: Solve for the Laplace Transform of the following:

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Q: 15-56 Evaluate the integrals √x²√5 +x+dx X 45ở dx sin(1/x) dx 3x²

A: We have to find the value of integration using appropriate substitution.

Q: Let a1,  a2,a3....b1,b2,b3...All satisfy the recurrence relation that the kth term equals 3times the…

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Q: Let A = {5, 6, 7, 8, 9}, B = {7, 8, 9, 10, 11}, and C = {6, 9, 11}. a. Find An B. b. Find AU B. c.…

A: Given: A={5,6,7,8,9} B={7,8,9,10,11} C={6,9,11}

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A: We know that,  A monotonic increasing which is bounded above sequence is convergent.

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Q: Consider the parallelepiped with adjacent edges u = 3i + 8j + k v = i + j + 8k w = i + 6j + 6k Find…

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Q: 8:53 Done ohm.lumenlearning.com AA C Here is a FDT for a small data set: data freq 42 3 43 3 44 3 45…

A: Mean = 33 Mode = 8 Midrange = 44