Let k = N. Let g: NZ be defined by g(0) = 1 and g(n) = kg(n - 1) + k − 1 for n≥k - 1. Write an explicit formula for g(n). (In terms of k.) Prove your formula is correct by induction.

Q: Let ā = (−1, 1, 3) and 6 = (0, -4, k). a Find k so that a and b will be orthogonal. k =

A: k=34​Explanation:   Two vectors are orthogonal if their dot product is zero.   Therefore, k=34​   (…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: a) not a polynomialb) notc) polynomiald) not polynomiale) polynomialExplanation:hope it helps…

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A: First of all i would like to introduce about the basic background of Mathematics so that you can…

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Q: 6. Given the following recursively defined set S: Basis: 0 € S and 7 € S Recursive rule: if x € S…

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Q: 1. Consider the following sequence xn = 여 1 1 4m, if n is odd 4n-2, if n is even Compute lim sup and…

A: Answer lim sup=lim inf=0  as  n  goes to infinity.Explanation:Step 1: Solution : Step 2:

Q: 10.2.11. Let G = D34 = (a,b | a¹7 = b² = e,ba = a¹6b). Let H = (a) and K = = (b). (a) Draw a partial…

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A: gu(0,0) = (6, 6) gv(0,0) = (4, 0).Explanation:We can calculate gu(0,0) and gv(0,0) using the partial…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: The questions in the image are about polynomial functions and their graphs.Question 5:This question…

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Q: 3. Prove that 6">5"+9 for any integer n ≥2.

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Q: FNSACC321/FNSACC322/FNSACC421 Assessment Monarch Institutes

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A: Please refer below pages.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

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Q: 2. Find the inverse transform of Laplace L-1{3+}. 2+4s

A: We now find the inverse Laplace transform of s+1s2+4s, i.e. we find L−1(s+1s2+4s).

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A: 1) Range=10 to -2 =>12 voltsLevel=8 Step size=12÷8=1.5 V

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Q: 2. Find the the value(s) of a and b such that A = a b0 ba 0 b a b is not invertible.

A: The matrix is :

Q: 0 0 0 0

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A: Here, we explain the reason why we take the term (4n-1) on top.

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A: For The statement is true for For :and The statement is true for

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Q: Good afternoon, Unsure how to approach this.

A: detJ=p^2sin(phi)V=4/3(pi)p^3Explanation:Step 1: Step 2: Step 3: Step 4: