Let H be a Hilbert space and A E B(H). Show that (ker A*)+. (a) Image A = (b) ker A = (Image A*)+.

Q: Let A = {-5, -4, −2, 0, 3, 6, 8), and define an equivalence relation R on A as follows: (x, y) E R…

A: Let A = {-5, -4, -2, 0, 3, 6, 8}, and define an equivalence relation R on A as follows: (x, y) in  R…

Q: Find the third and fourth distribution matrices for the given stochastic matrix and initial…

A: For the solution of the problem follow the next step.

Q: Q3\ using Euler method, find an approximate value of y corresponding to X€ [0 -0.7], Given = x(x +…

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Q: In the evaluation of x² sin(x) dx, which one of the following is an integral that is involved in the…

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Q: 3)If X(z)= 2²-0-5z z²+0-75z+ b) X(n) = [4"-3"]u(n) c)) X(n) = [4¹-3"]u(n) . † 4) If X(2)(z-30)(2-40)…

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Q: Express in p/q form 1) i) 0.005 ( bar for 005) ii) 1.3 ( bar for 3) iii) 4.78 ( bar for 8

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Q: e is a two-parameter family of solutions of the <-5

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Q: Which one of the following is the domain D for ƒ(x, y) = ln (x² − (y − 2)²) ? Select one…

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Q: HASAREBBRADA sify each differential equation as separable, exact, linear, homogeneous, or Bernou dy…

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Q: problem Solve The system (t)- 2Y₂(t) + 4 cos(t) - 2 sin(t), Y₁(0) = (t)- 4Y2(t) + 5 cos(t)- 5…

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Q: A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram…

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Q: Find the residues of a function 1 f(z) 3 (z − 2)(z + 1)³

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Q: State the order of the given ordinary differential equation. (sin e)y" - (cose)y' = 7 Determine…

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Q: Determine whether the differential equation (4x² - 2xy + 8) dx + (4y² − x² + 4) dy = 0 is exact. If…

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Q: If y = x2 is one solution of x2y''+2xy'-6y=0 and the other linearly independent solution.

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Q: -2 [*®¸ ƒ (x) dx + √²³ ƒ(2) dx + f(x) + S² ƒ(2) dz f(x) 3 6 Select one alternative:

A: Follow the steps.

Q: y + z = 6, x + 2y +3 nsistent, if λ is

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Q: Q2: Find the area inside r = 2(1 cose) and outside r = 2. -

A: We will use the single integral to evaluate the area between the polar curves. First, we will sketch…

Q: 3- If F(x) is the distribution function of random variable X, P(a ≤ x ≤ b) will be a- F(a) -- F(b)…

A: Explanation of the answer is as follows

Q: Q1/ Find -1 = s² (s+1)(S-1)²

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Q: Q4\ Solve by Gaussian elimination x - 4y= 2z = 21 2x+y + 2z = = 3 3x +2y-z = -2

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Q: 3) Determine the point(s) of intersection of the lines L₁: (3,1,5) + s(4,-1,2) and L₂: x = 4+ 13t, y…

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Q: If you wish to find the least squares line of best fit y = mx + c through the points (2, 1), (2, 3),…

A: We have given least square fit equation y=mx+c,and three  points given  ,so we substitute these…

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

A: Picard's iterative method helps to solve the differential equation by a sequence of approximations…

Q: Solve the following ODE proble using Laplace. [Ignoring units for simplicity] The average…

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Q: y = 1/(x2 + c) is a one-parameter family of solutions of the first-order DE y' + 2xy2 = 0. Find a…

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Q: 4. In the following figure which points are extreme. 5. Define a face and edge in polyhedral set.

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Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A: The given problem is to verify the given function is harmonic or not and also to find the harmonic…

Q: Solve the 2 31 -30-8 Let A= 8 -7 5 and u- 2 Define a transformation T: R³ -> by T(x) = Ax. Find…

A: As per guidelines we are allowed to solve maxim one questions at a time.kindly post another…

Q: 8 05 Suppose that two dice are rolled such that : 8:: what is the pr. that both dice turn up the…

A: Here we need to find the probability that if two dice are rolled then dice turn up the same or that…

Q: Q3 Matlab A) Solve the following linear equations (i.e., determine w,x,y,z values) 4w + y +3z -z =…

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Q: The approximation of the integral f(x-1) cos(x-1) dx using two points Gaussian quadrature formula…

A: Given integral is ∫−11x−12cosx−1dx. We have to approximate the given integral by using two point…

Q: Find the general solution of the given differential equation. 3. + 15y = 5 dy dx y(x) = Give the…

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Q: ate the order of the given (1-x)y" - 3xy' + 6y = cos x etermine whether the equation is linear or…

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Q: Q1-Choose or branch ( A-find the optimum values of X₁, X2, and X3 3X1 +2X2-X3 = 1 2X1-2X2-4X3-2…

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Q: We consider a Black-Scholes model for the price (Xt)t20 of a risky asset, with continuous interest…

A: Given: Black-Scholes model To find: Solution

Q: f(x) = 4x - 1.8x2+1.2x3-0.3x4 Find the maximum using Golden-Section search (Xlower = -2, Xupper= 4…

A: Given: fx=4x-1.8x2+1.2x3-0.3x4 To find: Solution

Q: Solve d² y dy² – 3 +2y= xe3 dy dx

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Q: Find a non singular matrix P such that P-1AP is a diagonal matrix

A: Given that                      a=-5 and b=9 and             L : ℝ3→ℝ3 be the mapping such that…

Q: Consider a slightly damped vibrating string that satisfies du 8²u 8² u To po at² = B- მ2 Ət (a)…

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Q: In this problem, y = c₂e + c₂ex is a two-parameter family of solutions of the second-order DE y" - y…

A: The given problem is related with differential equation. Given that y = c1ex + c2e-x is a…

Q: Consider the following autonomous first-order differential equation. dy-y²(25- y²) dx Find the…

A: For an autonomous system of the form: dydx=f(y), it can be written that: The region above or below…

Q: Find the general solution of the given differential equation. Xxx + 5y = x³ -x y(x) = Give the…

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Q: *? f(x)= x-1+ 5x, what is function linear O non above O Non linear O O O

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Q: (m) dy dx y separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none…

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Q: Solve the given initial value problem and determine how the interval in which the solution exists…

A: Given initial value problem is y'=9ty2, y0=y0. We have to solve the given initial value problem.…

Q: Find the area of the triangle in R³ that has vertices P₁ = (1, 0, 1), P₂ = (2, 3, 1) and P3 = (0, 2,…

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Q: B) Solve the y(0) 2 and y'(0)=0 differential equation by using Laplace transform y" -y=-t²

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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