g(x)≤ x² -9 for all x 1) Show the at x= -3 and x= 3 that g(x) is continuous

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A: I have explained everything with in the solution. Please go through that.

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A: oriented upward.To  solve  this problem,we  have to first recall Gauss Divergence theorem.Gauss…

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Q: 3.1. Let 2 2 A = [31] and B = [31] 4 -3 5 Find the following matrices.

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Q: Verify that ϕ is onto.

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Q: 2 n=13" +3-n 25. Σ

A: I have explained everything with in the solution. Please go through that.

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Q: 8. Show that (a) i=- (b) j= (c) k= jxk i.jxk kxi i.jxk ixj i.jxk 9. Find the vector triple product…

A: (a)                                (b)                            (c)…

Q: 7. Let G be a finite semigroup. Prove that there exists e E G such that e = e².

A: is a finite semigroup.

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Q: Consider the following system: X₁ Find the eigenvalues and eigenvectors of the coefficient matrix A.…

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Q: Consider the Initial Value Problem A₁ x(t) = dt (a) Find the eigenvalues and eigenvectors for the…

A: The initial value problem,

Q: Let M = [4 4 0 -4 4 0 14] 2 1 Find formulas for the entries of M", where n is a positive integer.

A: Given: Objective: To find the formulas for the entries of

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A: Given    with                    Take Laplace transform on both…

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Q: Solve the following initial value problem. 71 +32 611 212 (0) 5. ₂(0) 1. Enter the functions y(x)…

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Q: Given csc = 9.627 find 0 in radians rounded to two decimal places

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Q: Find the distance from the point (1,-7,-8) to the yz-plane.

A: The point .To find the distance between the point and the yz-plane.

Q: Let Find formulas for the M" M= 50 -5 16 the entries of M", where is a positive integer. (Your…

A: Given: Objective: To find the formula of the entries of .

Q: Use the variation of parameters formula to find a general solution of the system x' (t) = Ax(t) +…

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Q: Mathematical Logic Logic of statements or propotitions. Describe the construction tree (thruth tree)…

A: Given that Mathematical Logic Basic mathematical logics are a negation ,conjunction and…

Q: A Let T be the linear transformation of P2(F) defined by the formula T(P(x)) = (x+2) P'(x) - P(x) a)…

A: The given linear transformation is .To find the matrix of T in a standard basis .

Q: Compute the accumulated value of an annuity immediate that makes semi-annual payments of £500 for 10…

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Q: lim 3n+2 2n + 1 = 3/2

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Q: Suppose that you have won the UK National Lottery.You will receive the prize money in 20…

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Q: Given the following Graph of a cosecant function find the period -TT/3 1:5 I U U -0.5- 0 -0:5 -1-5-…

A: Given is the graph of a cosecant function.To Find: The period of the graphed function.

Q: 1. if A is a matrix such that A² = 0, then A is not invertible.

A: 1. If  is a matrix such that , then  is not invertible.True or False.

Q: Let E = {0, 2, 4, 6, ...}, define ƒ: E × E → Z¹ by the formula f(m, n) = 4m5¹, \ (m, n) € Ɛ × Ɛ.…

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Q: the output y are related by Consider a system L{f(t)} = y(t), for t20, where the input f and y"(t) +…

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Q: Q2/ The velocity of a train which starts from rest is given by the following table, the time being…

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Q: Let T: R² → R³ be a linear transformation, with corresponding matrix A. Let {A₁, A₂} be the column…

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Q: Example Determine the unit tangent vector for r(t) = (t,t³,t5) at the point P = (1,2,3).

A: The vector is: .To Do:We have to determine the unit tangent vector at the point P=(1, 2, 3).

Q: . Subject : - Advance math The logarithmic regression equation for the height of a tree is given…

A: Given y= 6.099 + (6.1.8) ln x . We want to find value of y when x = 5 years.

Q: (a) lim n→∞ Calculate the following limits, or explain why they diverge. 3n³+2n - 1 (2n − 1)(n² + 1)…

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Q: m2. Subject :- Advance math  let f be periodic function with period 2pi, so f(x) = x for pi <= x…

A: A function  for .To Find:a) Fourier seriesb) Graph of the function