Find the equation of circle at the osculating sphere and osculating point (1, 2, 3) on the curve x = 2t + 1, y = 3t² + 2, z = 4t³ + 3 i.e. r = (2t+1, 3t² + 2, 46²³+3)

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Q: Let R be the relation defined on P({1,..., 100}) by ARB if and only if An B is even. Is R reflexive?…

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Q: Which of the following functions V(y₁, y2) is a Lyapunov function for the dynamical system y₁ = (4 —…

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Q: .    Consider points A(2,−3,0) and B(−1,2,1). Let u be the vector connecting the origin to point A,…

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Q: Please

A: Here we find solution by Gauss Jorden Method, Inverse of matrix method and varify it.

Q: Consider the matrix A = 0 0 0 Find a non-singular matrix P such that J = -21 1 1 1 1 0 21 0 02 P-¹AP…

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A: We use properties of ring to prove our claim.

Q: 1. Suppose that (a) and (b) are sequences with a ≤ K|b₂| for all n, where K > 0, and limb = = 0.…

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Q: lia f(x) = {x, si03 In(x-2) flor). lina flor). lim f(a)

A: The given function is, fx=xsin1xfor x<0xxfor 0<x≤3sin-1x-33+5x-3lnx-2for x>3 To Find: The…

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Q: 8. Using Reduction to an equation whose Right Member is zero: (D² + D)y = −cosx

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Q: Questions 1-10 are concerned with the equation: +6+9y=9x 1. What is the order of the equation? a. 0…

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Q: Define a relation on Z as a Ry if x-y<1 Is R reflexive? Symmetric? Transitive? If a property does…

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Q: Request explain beginning of step 3 as to how do we get a=b and the second relation involving roots.…

A: -a+ia3+2b-c+ic3+2d=-1+3i2⇒-2a+i2a3+4b=-1+3i-c+ic3+2d⇒-2a+i2a3+4b==c-ic3-2d-ic3-3c+2i3d⇒-2a+4b+2c+2d+…

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Q: Let S = {₁, ₂, 3, 4, 5, 6, 7} be the set of 7 distinct integers. Use the Pigeonhole Principle to…

A: Since you have asked multiple questions, we will solve the Question Q1 for you. If you want any…