8. Show that an isometric linear operator T: H→→ H satisfies T*T= I, where I is the identity operator on H.

Q: ters represent 2 × .7?

A: Given as,

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Q: Example 10.19. Apply Milne's method, to find a solution of the differential equation y=x-y² in the…

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

Q: (a) Find the intervals where f(x) is increasing and decreasing. Hence, find the local maxima and…

A: Note: As per our policy, we are allowed to answer only first two part of question kindly post…

Q: Rearrange lim x* so that we can apply L'hopital's rule. *→0+

A: Follow the steps.

Q: Txample 8.9. Find the maximum and minimum value of y from the following data : =2 0 1 2 4 2 - 0.25 0…

A: Solution

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Q: Which of the following is true for the integral A. In 5-In(-2) B. In 5-In 2 C. -In 5+ In 2 D. In 5 +…

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A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: | Example 8.11. Evaluate the integral the error with the exact value. dx using Simpson's 1/3rd rule.…

A: Please find step by step solution below

Q: find the generated of

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Q: Graph several level curves for z=2x-y

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

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Q: Find general solutions 17. y" - 4y = -12x² + 6x - 4;

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: Prove 10^47+67 is not a prime(use Fermat's). Thank you :)

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Q: A (b) Determine all ordered pairs (a, b) so that the linear system below has infinitely many…

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Q: Example 9.14. Solve yy + (x + 2)y + xy + x² + 2x + 2 = 0.

A: Please find step by step solution below:

Q: Consider the equation du 2y = 0, y(0) = a. Let I = (-1, 1). Which statement below is NOT true? (A)…

A: First we can solve using separable method

Q: Find the angle a between the vectors α= | and

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Q: 5. Solve the DE dy d²y xdx² dx - 4x = 0, 1<x<2 with y(1) = y(2) = 0. a) Using weak form and Galerkin…

A: Let us start solving the problem step by step    For the given DE we will start solving by the…

Q: - - * x - م - و : (of : (x) } cu

A: This is a question from the series and sequence.

Q: 4. Given these data X 1 2 3 5 f(x) 3 6 19 99 Calculate f(4) using Lagrange polynomials of order 3. 7…

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Q: x100 why lim- X-400100

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Q: C:1: Solve the following I.V.P. using Laplace transformation: y" - 2y - 5y = 5t-100 such that: y…

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Q: Example 10.5. Employ Taylor's method to obtain approximate value of y at x = 0.2 fc the differential…

A: Problem can be solved using taylor's method.

Q: * (z-1)(z-2) if1<\z) <2 Find the Laurent series of f(z)

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Q: 2°) Write the volume integral of the solid bounded by 2 = √ x² + y²² and Z= √2-x²_y2¹, in a)…

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Q: Let F be a field and let f(x) be an irreducible polynomial in F[x]. Then f (x) has a multiple root…

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Q: Find the area bounded by the curve y=-x³x² + 3x and the line y=x. 16 A 8 square units B 16 square…

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Q: 2. Let A M, (R) be given. (a) If AA¹ On, prove that A-0₁. Does this hold if A € M₁(C)? (b) Suppose…

A: (a): If we put A=(aij)1≤i≤j≤n , then At=(bij), with bij=aji , so by…

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

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Q: 3. A loan of 7 quarterly payments of Php.8,300 is to be made, to pay for a loan at 10% compounded…

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Q: A student has measured a solution using a graduated cylinder of 2.0 Litres. The uncertainty of the…

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Q: (b) Determine x(Cn, k), the number of k colourings of the cycle Cn with n vertices, for n> 3.

A: (b)  We can do this directly using the principle of inclusion-exclusion. Labelthe vertices of Cn…

Q: n 18. Let H be a subgroup of all automorphisms of a field K. Then the fixed field d of K.

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Q: 1. Let S be the solid of integration of the ff. integral Q. Sketch S and label its boundaries. 16-22…

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Q: The Cantilever truss in figure below is hinged at D and E. Find the force in each member. 1000 lb B.…

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Q: s these functions O(x) ? f(x) = 10 f(x)= 5 logx f(x)= x2+x+1

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Q: Example 8.27. Using trapezoidal rule, evaluate I = 1²₁² dxdy, taking four sub-intervals. r+ v

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A: P: the election is decided q: The votes have been counted p↔q represents if and only if

Q: answer letter b Note: y(pi/2)=y'(pi/2)=y''(pi/2)=0

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Q: QUESTION 6 Sanna and Obadia argued about the definition of .00 e-x Ldx Sanna split the integral as…

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