-3x + 5z x + 2y = 1 - 4z-7y=3 -2=0

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

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Q: 1. Sesin 5y dy by using substitution method. Determine fes

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Q: Find the volume of the region bounded above by the sphere x² + y² + z² = 2 and below by the parabo-…

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Q: Use Cartesian coordinates to evaluate y² dv D where D is the tetrahedron in the first octant bounded…

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Q: C) Find the Laurent series (only the first fourth terms) and determine the type of the singular…

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Q: 5 The inverse Laplace transform of the function sin(2t) (A) 1 – 2 sinh(2t) (B) t- 2 sin(2t) (C) t- 2…

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Q: f(t)-15e-3t = 14t S sen(tu)f(u) du 0

A: We have to find the solution.

Q: 8. Let B₁ = {[2][¹₂]} and B₂ = {[2¹][3]} 2 i. Find [1] B ii. Find [1] B₁ B2 B₂-1 iii. Show that…

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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: if it is a simple ring. Let R be a field of real number. Then Z8 is a subfield of R. 4Z is prime…

A: According to rule of bartleby  we can solve only first question or three sub question of first…

Q: Let C be the arc of the circle [2] = R from z = R to z = -R Where R is a positive integer greater…

A: Given C be the arc of the circle z=R from z=R to z=-R, where R is a positive integers greater than…

Q: By direct partial integration, Solve the following PDES 8- • Xd²z ахду dz ду + =0 Z(X,0) = X+X =X+X,…

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Q: 7 The volume of the solid region 7 = Is (A) 120T (B) 100T (C) 132T (D) 967 {(x, y, z) € R³: 4≤2² +…

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Q: Given a function f: A→ R and a real number e that is a limit point of A. We say that ilm-f(x) = L…

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Q: -7 y" - 4y² + 5y = f(t) Sy Y(s) = L {y (t)} -> (1) (2)

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Q: Consider the region bounded by y = x², y = 2x Write, but do not evaluate, an integral to find the…

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Q: Q1\ A\ Define and give an examples with its solutions for the following terms: (1) Strongly…

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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: Here we use Pigeonhole principle to prove the statement.

Q: 4 Find the general Solution of the following PDES • з Их + 2 Иу -Х ucx, c) - че 2 (зу-2х)12 ans3-…

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Q: What is the perimeter of region R? Enter the exact answer as an expression involving radicals and T.

A: To determine the perimeter of the given region R.

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

A: Note:- As per our guidelines, we can answer the first of this problem as all the methods are…

Q: The equations of motion of three equal masses connected by springs of equal stiffness are i = -2x+y…

A: Problem is solved using concept of eigenvalue and eigen vector.

Q: that does not find a taxi wait

A: Lets, Taxi's arrive rate= λ=1 and customer arrive rate= μ=2.

Q: 3. Find the integral (a) f(cos(x) + sin(x))² cos(2x) dx 1/3 /tan(x) (b) dx sin(2x) tan-¹(x) dx (d)…

A: (a)  I=∫cosx+sinx2cos(2x)dx =∫(cos2x+sin2x+2sinxcosx)cos(2x)dx =∫(1+sin2x)cos(2x)dxHere, Let…

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: The height, h, in centimetres, of a piston moving up and down in an engine cylinder can be modelled…

A: The main objective is to find the minimum height and period of h(t).

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: 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: Which of the following statement is always false? (a) For all integer x, [x] = [−x] (b) For all odd…

A: We have to check which of the given option is always false. a Given that  for all integers x,  x=−x.…

Q: What is the probability that a positive integer selected at random from the set of positive integers…

A: Given:   What is the probability that a positive integer selected at random from the set of positive…

Q: Find the upper Riemann sum U(f, P) and the lower Riemann sum L(f, P) for each of the following…

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Q: Any ring R is a Jacobsen radical ring, if it is a simple ring. |--0 LLO O

A: We can solve this using given information

Q: Q2/ For the given function x² + y² = 4,find a) Domain and range for the function. b) Graph of the…

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Q: Solve each of the following integrals using integration by part: a) 3x² In 2x dx b) [5xsin 3x dx

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Q: F L (a) Given A = use the Cayley-Hamilton theorem to find (1) A¹-3A6 + A¹+ 3A³ - 2A² +31 (ii) A*,…

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Q: T: C[-1,1] → R is defined as T (p) = ¹₁ p(x)dx is a linear transformation. Prove that statement!

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Q: (d) V = P₂ (R), W = R³, T(p) = (1,p(1), p(2)), p = P₂ (R); (e) V = P₂ (R), W = R, T(p) = (p(1),…

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Q: Q.9 Let (x) be a solution to the equation [exy'] + xy=0, x=(-∞0,00) dx Given that (-¹)=0,…

A: We can solve using given information

Q: 2. Evaluate the double integral that will find the volume of a solid bounded by 21-2y²-322 and the…

A: Given that solid is bounded byz=1-2y2-3x2 and the xy plane,finding it's projection onto xy plane by…

Q: Find i(x) and maph the diagram

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Q: Let L(y)=(x-1)y" - xy + y a) with the observation that y, zx is a solution of L(4)=0 on (1,00), by…

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Q: By direct partial integration, Solve the following PDES 8- дги ахбу ECOBX COSY SXUCX,t) = x u(x₂)…

A: Solution :

Q: Consider the following Gauss-Jordan reduction: 10 0 100 56 70 56 70 1 00 0 56 7 0 →> 00 68-69 010 =…

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Q: By direct partial integration, Solve the following PDES 8- X 8²Z 5 4 dz z(x,0) =X+X, Z (2,y) = 3 y z…

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Q: 3: A) Find the limits below x² + sin²y 1) lim lim (x,y) →(0,0) 2x² + y² y)→(1,1) x#y (x²-y² (x, y) =…

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Q: Solve the following differential equations, giving y in terms of x. dy (iii) cotx + 2y = sin 2x. dx

A: Let us consider a differential equation of the form dydx+Py=Q where P and Q are function of x  To…

Q: Question 1 ( In the following table, state the order of each of the differential equations. Are they…

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Q: Q3: A) Find the limits below 1) lim (x,y)—(0,0) x² + sin²y 2x2 + + y²

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Q: y" + 4y = cos(t−3) +4t, y(3) = 0 _y (3) = 7

A: Solution :

Q: Hand written plz ery n e Z. epimorphism and f(n) = g(n) for all ne Z, then f= g.

A: