Is this a binary relation on the set of all positive non zero integers r*s = q where q is the greatest common divisor of rs that is not equal to rs.

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Q: If A is an ideal of a ring R and 1 belongs to A, prove that A = R.

A: Given: A is an ideal of a ring R and 1∈A.To prove: A=R

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Q: hand written

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Q: 8. Make a substitution to solve the following DEs. 3у2 — х2 2xy (b) y' + 1 = (y + x)², let u = x +…

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Q: Q/Find the general Solution to the differential equation Using the transaction method is not…

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Q: Write the augmented matrix corresponding to the system of equations. 2x  −  8y  =  6 8x  +  y  =  3

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Q: The management of Hartman Rent-A-Car has allocated $2.25 million to buy a fleet of new automobiles…

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Q: 1. Let S = {V1, V2, V3} C R³ where V₁ = (1, 0, 0), V₂ = (1,1,0), V3 = = (1, 1, 1). Use the…

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Q: Question 4 Let P (x) be the predicate " can speak Esperanto", and let the domain D be all students…

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Q: Let f(z)-22² + 3z +4 and let g(h) f(3+h)-f(3) h Then g(0.01)-

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Q: 11. Consider the differential equation dy dt (a) Show that the constant function yı(t) = 0 is a…

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Q: Solve the initial value problem. d²y વાર -=3-(1 y(1) = -2, y'(1)=2

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Q: Find the flow streamlines associated with the indicated complex function. f(z) = iz

A: Given: fz=iz. We have to find the flow streamlines associated with the given complex function.

Q: Q/ Define the Laplace Transform and then Calculate I¹S 1 S² (S²³² + 1) + S-2 (S² + 1) }

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Q: Exercise 2.3.7: Let f(x) = e* - cos x, g(x) = ex + cos x, and h(x) = cos x. Are f(x), g(x), and h(x)…

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Q: signature has problems. In Exercises 1-10, assume that T is a linear transformation. Find the…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: Given differential equation dydx=yxy5-1dydx=xy6-ydydx+y=xy6divided by y6  on both sides…

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Q: Show that the transformation T defined by T(X₁, X₂) = (4x₁ - 2x₂₁ X₁ +3, 5x₂) is not linear. If T is…

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Q: 1. Use the definition of the Laplace transform to find L{f} for the following functions: 14 (c) Use…

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Q: Use the guidelines of this section to sketch the curve. 7 - 16 HHH # -6

A: Let the given function has asymptote at X= 4 and x= -4 We can draw a graph as below.

Q: What Rule of Inference or Fallacy is used in this argument? I'll buy coffee whenever I visit the…

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Q: Test the linear independence of a) v1= v2= v3= b) u1= u2= u3= Express v3/u3 as linear combination…

A: The given vectors are, a) v1=1, 3, 5, v2=2, 1, 6, v3=3, 4, 11 b) u1=2, 1, 6, u2=3, 1, 7, u3=5, 2, 3…

Q: 27. y = cos x, y = sin 2x, 0≤x≤ π/2 Answer 1 2 28. y = cos x, y = 1- cos x, 0<x<T

A: Answer given below.As per the guidelines I have solved only first question.

Q: Show that the transformation T defined by T(x₁, x₂) = (4x₁2x₂, X₁ +3, 5x₂) is not linear. 0 If T is…

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