Problem 10. vectors of the matrix Find the characteristic polynomial, the eigenvalues, and associated eigen- ^-14] A =

Q: 5. y" - y = 0; y(0) = 1, y'(0) = 0

A: Solution:-

Q: Q.1 Find the Laplace transform for the following 1. t² sin 3t -21 2. t cos³t 3. te sint 5. te ³t sin…

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

Q: (e) Two different matrices may have the same eigenvalues.

A: We consider the two different upper triangular matrix A and B

Q: (part 3) If the "average" number of persons in each car on the road is 1.38 persons, which average…

A: If the "average" number of persons in each car on the road is 1.38 persons

Q: 3. Let A, B, and C be sets. Prove or disprove that A- (BNC) = (A-B) U (A-C).

A: Solution

Q: lim (x,y)-(0,0) x-y+2√x-2√√y √x - √y

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Q: b) u=esin¹ m. m = |_ sin x, k = 2²ª ln y,l = = then at (-)- mv2In 2 4 w in 2 2√2 √In 2

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Q: For the function y=f(x), it was found out that f'(c) = 0. What can be said that x=c? critical point…

A: Critical point of the function:

Q: Q311 useing Lagrange Method determain Merxiuman area leacted in Side tringle of base! equel -10 CM…

A: Note:- For this problem, we take right triangle as given that rectangle is located on the base and…

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A: Given information:- The rate of growth of bacteria is proportional to the number present. Let number…

Q: 7) lim X-4X² +3

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Q: L {2-e2t+4t²-5 sin (√2t) + cosh (t)}

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Q: Use Laplace transform to solve the partial differential equation: du(x,0) d²u du at² ax² , t> 0,…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 1.3688

A: Option A is correct

Q: Find the Fourier series of the given function f(x), which is assumed to have the period 2L. a. f(x)…

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Q: (Show your solution using Excel) Find the positive root of the equation 3x+sinx-ex using Regula…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: 11 2 :[] [n+ 2 Vnt2 n+ 2 -. an h+ 2 n+ 2

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Q: What is the inverse of (2, 3) in Z3 X Z5*? A. (1, 2) B. (2, 3) C. (3, 2) D. (2, 1) What is the order…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: f:R+ → R f is a strictly decreasing function. 3 1 f (x) · f ( f(x) + 2x) 4 f (9) =? 1 1 1 1) ² 2) 3…

A: As per per the question we are given a functional equation containing function f : R+ ➞ R And f(x)…

Q: Definition: If A, B E Matnxn (C), we say A and B are conjugate if there is an invertible matrix CE…

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Q: X 0 5 Conclusion unstable node saddle point

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Q: 1.y + y = 0, y(0) = 2

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Q: Consider f(t) = 3t, g(t) = 4t². Proceed as in this example and find the convolution f g of the given…

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Q: 2. y" y'-y = cos(5t)

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Q: Q2. Find the exponential Fourier series for f(t) = Fourier series. 0 < t < 1 1 < t < 2 then find the…

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Q: Write down the first five terms of the following recursively defined sequence. a₁ = 3; an+1 = -2an…

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Q: Test the given integrals for convergence. Choose two (2) items only. 4+ cos(x) (a) So dx (b) √o…

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Q: (f) y +2y +10y=eH(t-1), y(0)=-1, y'(0) = 0 (involve partial fraction, completing the square, first…

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Q: In evaluating 2 2 dx XV is same as evaluating lim_ cos-¹(f(x)). Determine the value of f(x) if x=2.9…

A: As per the question we are given a definite integral and we have to find the primitive of the…

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Q: X = R² and = = { $₁x} V { \\x>0} where U4 = {(x,y) | x² + y² <²} Prove (x, t) is Topology

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Q: 3. Classify the given partial differential equation as hyperbolic, parabolic, or elliptic. ә2u ә2u…

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Q: The total number of audiences who went to watch movies in a certain cinema from January to December…

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Q: Given that the material components of the displacement vector U (see Fig. 2.6) are: U₁ = X₁ X₂²,…

A: As per the question we are given the displacement vector U and from that we have to find the…

Q: 3. Classify the given partial differential equation as hyperbolic, parabolic, or elliptic. a. а2u…

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Q: Q.1) a) If the temperature of air is 30 °C & a substance cools from 100 °C to 70 °C in 15 minutes,…

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Q: For every real nx n matriz A, there is a s either a Householder matrix or the identity, R=H₂H₂H₁A.

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Q: 8+89 78 ¹}₁-T 7

A: The given expression is s+2s2-6s+8 make the partial fractions of the given expression…

Q: 2) For the Fourier series of the function f, ao + Eko akcos (kx) + bsin (kx) we have k=0 |bk| ≤…

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Q: Decide, with proof, which of the following form a basis for a topology on R, stating clearly any…

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Q: Decide, with proof, which of the following form a basis for a topology on R, stating clearly any…

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Q: C Let a and C be positive constants. Let be с the upper semicircle (x − a)² + y² = a² y ≥ 0, from…

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Q: 6. (5ex - e)dx -2 1

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: Use (a) Fixed Point Iteration method (b) Newton-Rhapson method and (c) Secant Method to find the…

A: Solution:f(x)=x3-2x2-5a) Roots using fixed-point iteration method in the interval 1,4The initial…

Q: Convert the statement to proposition then generate the truth table: The pond is not frozen over, yet…

A: A sentence that is assertive and is either true or false is referred to as statement. The truth…

Q: (a) Find a perfect matching in the graph below. 1 (b) If G = (V, E) has a perfect matching, show…

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Q: 2. Find the exponential Fourier series for f(t) = {2 1 < t < 2 (1 0 < t < 1 Fourier series. then…

A:

Q: 1. Find lim / ¹+ 8-0 G Hint 1: If <1 then Hint 2: Use the ML-inequality 1+2-e² -dz, where C: 2(t) =…

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Q: w (0)=w (1) = 0 =4

A: Given equation as, w''+k2x2w=0 Here, w0=w1=0 and h=13.

Q: I. Evaluate the following integrals. x² + 2 1. So dx (x-2)(x²-2x+2) x² +2 (x-2)(x²-2x+2) dx = √(x2…

A: We will discuss the circle area