Find the sum of the first 7 terms of the sequence. The formula for the sum of the sequence is given belo n+2 Sn n-3 O a 996 O b 2 Oc Od N8|3 9 5

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Q: 8. Evaluate the following: (6 marks) (a) log₂32 (b) log12 576-log124

A: I have given the answer in the next step. Hope you understand that

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A: We find required Laplace Transform.

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Q: (b) 9₁ = -8y₁ - 2y2 y2 = y₁ - 4y2 e-6t + c₂te-6t and y2 = -c₁e6t+c₂(t+1) e-6t) (solution y₁ =

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Q: Consider the real-valued function of one variable f: R → R defined by - {₁+2²+ (a) Show that f'(0)…

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Q: a 2a] a. The subset of M32 consisting of all matrices of the form 3a 4a 15a 6a b. The set of all…

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A: given circle x2+y2=16 here r=4 area =14πr2                                            in first…

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Q: Find the general solution of the differential equation y" - 2y + y = 13et 1+ t² NOTE: Use C₁ and C₂…

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Q: Find and classify the critical points of the function f(x, y) = 4x²y - 2x - y².

A: We need to determine and classify the critical points of the function: f(x, y)=4x2y-2x-y2.

Q: The method of reduction of order (Section 3.4) can also be used for the nonhomogeneous equation y" +…

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A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

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Q: What is the P(k+1) statement used in the proof by mathematical induction of the ormula: ²-¹² i (i +…

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