Theorem: if I is a Positive implicative Bck-algebra Then (Lx),,Lo) is a BCK-algebra

Q: Solve: x"-x+ 5 y' = t y" - 4 y-2x'= -2 with x(0) = y(0) = x'(0) = y'(0) = 0

A: This is a problem of Laplace Transform.

Q: Three relations are defined below. Decide whether each of these relations is reflexive, symmetric…

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Q: Find u- v, 2(u + 3v), and 2v- u. u = (4, 3, 4, 0, 4), v = (-3, -5, 8, 3, 6) (a) u- U-V= (b) 2(u +…

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Q: In this question we use the complex numbers x = 1 + 2i, y = 3-i, 3π 3π √2(cos ³4+ isin ³7). Complete…

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Q: Determine a QR factorization for the matrix given below: Note that you can type in square roots as…

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Q: Determine the vector field of F. F(x, y) = 81-4)

A: The given vector is F=8i-4j

Q: B: Find f(t) if: F(w) = 2sinnw [u(w+1)-u(w - 1)]

A: The Fourier transform of the function f(t) is represented as F(ω) or F[f(t)], it is defined as…

Q: 26. Find moment of inertia of cone about its symetry symetry axis? iii). Find principal axes of…

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Q: e column space

A: Given,           A=1-2101113, and  B=-4-330

Q: 3. Let C[0, 1] be equipped with the inner product (f, g) = f f(x) g(x) dx, where f = f(x) and g =…

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Q: Solve the given initial value problem. = 2 x²y² + xy³ x²y² + y² = 3 xy² + xy³ | xy² − y³ = 1 x²y² -…

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Q: [2][3][2]+[1]. ] + [ 1 ] e(t), y(t) = [1 − 1] [ 21 (1)] + e(t) (t) (t) d 1(t) dt x2(t) -1 0 For x₁…

A: given :             ddtx1tx2t =-1102x1tx2t +10 etyt=1-1x1tx2t+et To Find : Y(s)

Q: 3. Pedro walks at te speed of 40 meters/min from the school to home, by taking the longer route of…

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Q: Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an…

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Q: 4. Let R³ be equipped with the dot product and let B = {(1, 1, 1), (0,2,0), (2, 0, 1)}. B is a basis…

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Q: let G be the set of all triples of the form (k1, k2,1) or (k1,k2,-1), where the ki, i=1,2 are…

A: Given :  G = k1, k2, ±1 : k1, k2 ∈ℤ with the operation  k1, k2, 1l1, l2, -1 = k1+l2, k2+l1, -1 To…

Q: Consider the function f(x)=ex and a point x0=2 .    1) Find the truncation error for backward…

A: by taylor series expansion, fx+h=fx+h f'x+h22!f''x+h33!f'''x+Oh4          ...ifx-h=fx-h…

Q: Determine the values of r for which the differential equation y" - 9y = 0 has solutions of the form…

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Q: Transform and

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Q: etermine whether the following series are onvergent of divergent. If it is convergent, and its sum A…

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Q: Evaluate the integral (6x +12y)dx + (6æ — y)dy along the parabolic arc y = x² from (0,0) to (1,1).…

A: Let us evaluate the given integral in the next steps.

Q: 23 Determine the infimum and supremum of the set S given by the grand union below. Write your answer…

A: Supremum: The supremum  of a subset S of a partially ordered set P  is the least element in that is…

Q: 8) Using the Green's theorem area formula, the area of the region enclosed by the ellipse += 1 is:…

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Q: 7. Find the Fourier sine and cosine transforms of the following functions defined on [0, ∞). x =…

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Q: a) Explain what it means, by definition, that a polynomial m(x) € P(R) is the minimal poly- nomial…

A: Definition Let  be a A*A matrix. An annihilating polynomial  (i.e., such that m(x)=0) is called a…

Q: 6) Let D be the region bounded by the two cones z = √x² + y² and 2 = 4-√x² + y² Which of the…

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Q: Verify Green's Theorem by evaluating both integrals √( 1² dx + x² dy = √ √ (2x - 3M) JA dA əx ду for…

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Q: 2) Let 1 = f* cos y3 dydx. By reversing the order of integration of I, we get a. 1 = ²₂x cos y³ dx…

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Q: Find the area between 0 = 0 and 0 = π/2 of the polar curve r = 1 + sin 0

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Q: Here's an incorrect theorem with an incorrect proof. Theorem: All people are the same age. Proof:…

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Q: At which point maximum value and does foxs the (e.g. instead = 2 sin X- Cos 2x what is the maximum…

A: For absolute maximum or minimum   If  the function is continuous on the given  interval .We need to…

Q: Use the function to find the image of v and the preimage of w. T(V₁ V₂ V3) = (4V₂ - V₁₁ 4v₁ + 5V₂),…

A: Let us consider a transformation T:R3→R2 defined as T(v)=w Here T(v) is the image of v v is the…

Q: Show that the graph is planar by finding a planar drawing.

A: To make this graph with no crossings.

Q: Give an example of two functions f: RR⇒R and 9:/R→IR such that t and g are each discontinuous at…

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Q: b B 36° b≈ a Note: Triangle may not be drawn to scale. Given the triangle above, find the following:…

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Q: Determine the vector field of F. F(x, y) = 8i - 4j

A: We have to determine the vector field of F(x,y)= 8i -4j

Q: What is lim x-inf (x_n) and y=lim sup (x_n) where x_n = [(-1)^{3n}] + 2? (express answer as x,y)

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Q: Find a function u = u(x, t) that satisfies the PDE Uxx = 0, subject to the boundary conditions 0 0,…

A: Consider the given differential equation, uxx=0, 0<x<1, t>0 The auxiliary equation of the…

Q: Find a set of parametric equations for the curve of intersection of the cylinder (x - 1)2 + y2/4 = 1…

A: Given: The equation of cylinder is: x-12+y24=1 .....(1) The equation of paraboloid is: x2+y-22=z…

Q: S √ + (25 +4z²)(z³ + 1)¹² dz

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Q: Problem 7 Are the following arguments valid or invalid? J&T. TCSC. Therefore, S&J. (Q13) ? JcTC. TS.…

A: Solution:

Q: Question 9 Indicate if the following statement is TRUE or FALSE. Briefly justify your response with…

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Q: 4. Pictures of real-world objects and designs often have symmetries. Identify all the reflection…

A: a) 2 and 2 b) 1 and 1 c) 2 and 4 d) 4 and 4 e) 5 and 5 f) 1 and 2

Q: Which of the following are equivalence relations? If they are not, which of the axioms fails? a) For…

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Q: Compare the monthly payment and total payment for the following pair of $180,000 loan options.…

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Q: (x²y³ + 6xy³) dy + (xy² + 3y²) dx + (x+3) dx = 12y³dy; y(2) = 0 4(y²+1) 1²+62 -12 O O O O O d. y = o…

A: We have to solve given problem

Q: Find the center of mass of the lamina bounded by the graphs of the equations y = 7x²y = 0, and x4…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: DETAILS ZILLDIFFEQMODAP11 1.2.013. MY NOTES ASK YOUR TEAC his problem, y c₁ex + c₂ex is a…

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Q: Find the maximum and minimum values of the function f(x,y)=x^2y subject to 2x^2+3y^2=18 Please show…

A: Introduction:   The initial problem is reformulated as a result of the link between the slopes of…