Find ||f||sup if - f(x) = x on (-1,1). -. f(x) = 0 {²-2² if x EQ, -x² if x #Q, for all x ER.

Q: 3. Use the concept of eigenvalues and eigen 3 2 4 (a) X'= 2 0 2 X 4 23

A: According to Bartleby guidelines I have completed the one among them

Q: Prove that if X #0 is an eigenvalue of an invertible matrix A, then is an eigenvalue of A-¹ Proof:…

A: The given statement is: Prove that if λ≠0 is an eigenvalue of an invertible matrix A, then 1λ is an…

Q: 4) Professor Wei observed that students have difficulty remembering the information presented in his…

A: “Since you have posted a question with multiple sub parts, we willprovide the solution only to the…

Q: (a) We consider an investment problem with 1 riskfree asset (with return rf) and N risky assets (N >…

A: Advance maths

Q: Complete the table: Give all answers to at least 2 decimal place accuracy. (Assume acceleration and…

A: By using the below formulas we can able to complete the table.…

Q: Now H= [² 2 id 2² H эрг = Ho 2² [Ho Sin (Kr_wt)] ar 2 [2 Ho Sin (Kr- wt) Ho 2/ [cos (kr-wt) x] K Ho…

A: They have derived the partial derivative. Our aim is to explain the derivative rule.

Q: Let f : [0,1] → IR be a continuous function. Prove that και 15') - - lim ko k Σ'() lim ko k j=0 Σ'()…

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Q: 3. For 1 < p ≤ ∞ and q conjugate of p and fe LP(R), show that f = 0 if and only if [19=0 for all g €…

A: Riesz theorem: Let ℝ be measurable, 1≤p≤∞, and q is the conjugate of p. Then for each g∈Lq(ℝ),…

Q: (2) an -1 Answer: Consider matrix A = scalar product w. y. [Please enter your answer numerically.…

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Q: Suppose A, B and C are 3 x 3 matrices with det(A) = 3, det (B) = −2, and det(C) = 3. Find det (A²…

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Q: What is the determinant of the matrix O O O 4 32 1 2 -1 3 1 2 2 3 2 -1 -1 1 2 -1 2 ?

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Q: Problem #3: Find the inverse Laplace transform of the following expression. Problem #3: 6s 10…

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Q: a) Is A = -2 an eigenvalue of 73 3 -1 ? Why or why not? 1

A: According to guidelines ,we solve only (a ).

Q: [15] (4) GIVEN: z = f(x, y) = x²y, where (x, y) is subject to the constraint: I: x² + xy + 7y² 27, x…

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Q: Part A needed By Hand solution needed Please do correctly neat and clean solution needed in the…

A: First we assume if part and proof only if part. Then we assume only if part and proof if part.

Q: K4. The function f(x of the hole? (0,5) (3, 3) (3,5) O (3,0) ABBOND 6-2x 5/3x-5 4 has a hole at x=3.…

A: Given rational function is f(x)=6-2x53x-5   If there is same factor in the numerator and…

Q: 11. Consider the function 9: {0, 1}xN-Z defined as 8(a, b)=(-1)ºb. Is 8 injective? Is it surjective?…

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Q: The State Government have built a new express transport system to connect the CBD to the town of…

A: The given transition matrix is T=0.90.10.30.7 The share matrix is S=01.   The steady state vector of…

Q: 6. Let f: Z→ Z be given by f(n) = [n/2]. (a) Is fone-to-one? Justify. (b) Is fonto? Justify.

A: Since you have posted a multiple question according to guildlines I will solve first(Q6)question for…

Q: Sketch the graph of the function: f(x)= (-2x+1;-3≤x2

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Q: Discretize the differential equation y" + 3y' — 4ty=t,_y(2) = -3, y'(4)=0 with step-size h = 1.…

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Q: -.F(5)= 5 s² (5² +35+2

A: The given function Fs=5s2s2+3s+2. We have to find the inverse Laplace transform using partial…

Q: You have been hired as an economic consultant concerning the world demand for oil. The demand…

A: Note: As per the guidelines we are supposed to answer only 3 subparts. Please repost for remaining…

Q: 4) Let the curve C be given by the graph of the function y = f(x) with f(x) = coshx, 0≤x≤A a) Draw a…

A: f(x)=coshx, 0≤x≤1

Q: 1. Labor costs: A company with manufacturing plants in California and Texas has labor-hour and wage…

A: If   A=aijm×nB=bijn×k Then their product will be…

Q: 2. Unit Vectors a) What is the z-component of a vector parallel to the xy-plane? Explain. b) Find…

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Q: Find A¹ and A². A = -32 -4 3 Find A1. A¹ = (Type an integer or decimal for each matrix element.)…

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Q: 4) Let the curve C be given by the graph of the function y = f(x) with f(x) = coshx OEXCA c) Compute…

A: We are given that         y = cosh x Differentiating w.r.t x, we get        y' = sinh x  Then,…

Q: If A = {3,4,7,9) and K = {1,3,4}, find A UK.

A: As per policy, we are solving only the first question please post multiple questions separately.

Q: 8) Evaluate the integral: J (VF) dv over the region x² + y² + 2² ≤ 25, where F = (x² + y² + z²)(xi +…

A: Divergence in spherical coordinates

Q: Compute the line integral of the vector field F = (6x2, 27y8) over the curve C given by the triangle…

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Q: THÉOREM 9.8. Let X be a Hilbert space, suppose that A = {X₂}, is an ortho- normal set in X, and let…

A: note : As per the instructions we will only solve the part (1), (2) of the question.

Q: • A is in RREF ● ● -689 Let A Fill in the blanks such that A has all of the following properties.…

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Q: Use a calculator or program to compute the first 10 iterations of Newton's method when they are…

A: Here, fx=lnx+5-4 and the initial solution, x0=49.6 To determine: First 10 iterations of newton's…

Q: Cn Cn+1 ists (or if the ratio properly diverges to ∞, in which case we say that R = ∞), then the…

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Q: Find the general solution of the differential equation (D4 + 6D³ +9D²)(D + 1)(D + 2)(D² + D + 1)(D²…

A: We will find the roots of the auxiliary equation.

Q: 3. Solve the initial value problem, and graph the solution function x(t). x" +4x' +4x=1+8(t-6);…

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Q: A lamina occupies the region inside the circle x² + y² = 18y but outside the circle x² + y² = 81.…

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Q: Begin by solving the linear equation for y. This will put the equation in slope-intercept form. Then…

A: The equation for y : 3x+2y=3

Q: Find the area of the surface. The part of the hyperbolic paraboloid z = y² - x² that lies between…

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Q: = {-2,-1,0, 1, 2}, B = {1,2,5}, C = {n² ER: ne A}. For items (1)-(4), write TRUE if the statement…

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Q: (a) The ratio of the circumferences of two circles is 4:9. Give an example of the radius and area of…

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Q: Let A = 0.4 0 0.2 0.3 0.8 0.3 0.3 0.2 0.5/ The vector V₁ = happens to xk as k→ ∞ ? 0.1 0.6 0.3/ is…

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Q: Given the function f(x,y) = x² + y² = xytıR. Find all the points (y) the tingent plane to the graph…

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Q: 2. Let f C (R) such that f(xo) = f'(xo) = 0 for some ro R. Find the error term associated with the…

A: f∈Cn(R) such that f(x0)=f'(x0)=0 for some x0∈R. The difference scheme is:…

Q: 14. Let F = yi + (x + 2)j + x³ sin(yz)k, and let S be the portion of the cylinder x² + y² 1 that…

A: Vector field: F=yi^+x+2j^+x3sinyzk^ and S is the portion of the cylinder x2+y2=1 that lies in the…

Q: 5) Let w = (-5,8,-5). Then [w] = 6) Consider B= (sinx, cosx) and B = (2sinx+cosx, 3cosx) are two…

A: Here in question (5) basis B not given please give the basis  I will solve the other one

Q: b) Prove that Im z=0₁ larg z = 5 ) = I₁ Z-2=0, 12-il = 12til 7, are different equations all…

A: Any complex number z can be written as       z = x + iy   [ x = Re z , y = I'm z ] So, Im z = 0…

Q: Let T: R² → R² be a matrix transformation for which: 5 2 -1 *-*( E; D)- E ]--( ED E] +( ] = Tü = T…

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Q: 6. Consider the series [ª a and ¹b. where a > 0 and b² > 0 for n ≥ 1. If [ª converges, which of the…

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