to be A function f: SOT is Te invertible if there exists a function Dia gez g: seid Such that

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Q: y" + 3y + 2y = 4t if 0 1; y(0) = 0, y'(0) = 0

A: Given: y''+3y'+2y=4t  if  0<t<1  and  8  if t>1 y0=0,  y'0=0 We have to solve using Laplace…

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Q: In 20–38 determine whether the statement is true or  false. Justify your answer with a proof or a…

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Q: Theorem 7.5. Let m, n > 1 be integers. We have Sm(n)= m m+ +2(1) (71)Br" και Bknm-k+1 k=0

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Q: Prove that bx c+1 ax² + (x-a) (x −b) (x-c) (x-b) (x-c) x-c 11 x³ + + (x-a)(x-b)(x-c)

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Q: Identify if Valid or Invalid argument P -P→-Q -P^ -R .. -PVR O Valid Argument O Invalid Argument…

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Q: 5. Explain why each of the polynomials below is irreducible in the indicated polynomial ring. Make…

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Q: HW Solve the following qua.t.i.9.1.2.............. ......................

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Q: Consider the following. B = {(2, 1), (1, 1)), B' = {(-12, 0), (-4,4)}, -[-] (a) Find the transition…

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Q: Let m E R. Discuss the solutions of the following system of equations with respect to the values of…

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Q: Question 2 Use 8-bit two's complements to compute the sum. 89 + (-55)

A: This is a problem of counting and finite math.

Q: 4. Calculate the overall A-weighted level of the spectrum below. 125 Hz Band Lp 63 Hz 82 dB 250 Hz…

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Q: 1) Show that the following three vectors are coplanar. u =(2, 3,-1) v= (0, 1, -2) w = (2, 4, -3).

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Q: 0 H -3 to multiply these matrices in this order Given the matrices A == A. It is not possible 3-3 2…

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Q: 00

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Q: Suppose that the matrix 10 1 + #1 011 x₁ + x₂ 0 0 0 1+ ₂+ 3 the result of reducing the matrix [u v w…

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A: Let y= m(x) The equation is y=a+bx+cx2 and the normal equations…

Q: 5. Prove that lim 2r2+2r-1 = 11. 6. Let if a is rational 1-2 if r is irrational A { Prove that f is…

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Q: X₁ B. X₂ X 3 1.4375 1.875 2.875 -1 111 4.562 4.125 3.312 5.039 3.863 2.675 865.0 1.244

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 4xy – x² − 6y²…

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: 2. Use Improved Euler's method with h=0.1 to find a 4-decimal approximation y(0.5) where y(x) is the…

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Q: Evaluate Sff eva dV, where E is the region above the xy plane enclosed in the sphere x² + y² + x² =…

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Q: Find the basis (y₁ and y₂) for 2).

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Q: 31. f'(0) = f'(2) = f'(4) = 0, f'(x) > 0 if x 4, f"(x) > 0 if 1 3

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A: Thr addition property of inequality-    For all number  a,b,c    If  a>b then a+c >b+c

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Q: x*y" + (x+1)y = 0

A: As per norms, we will be answering the first question. If you need an answer to the other, then…

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Q: Show that an isometry of a plane is completely determined by theimage of three noncollinear points.

A: To Show: An isometry of a plane is completely determined by image of three non-collinear points.

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Q: Question: 7. Suppose A and B are sets in universe U. Prove that An (AUB) = B\ A.

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A: The standard form of the hyperbola is x2a2-y2b2=1. Here, a is the distance between the vertex and…