(a) Find the length of the curve -√√u - 1du, 1 ≤ x ≤ 64.

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Q: The nth partial sum of the series 2n=1 an is given by Select the correct rule for an or the actual…

A: nth partial sum of the series ∑n=1∞an is given by Sn=n+2n-3 hence  an=Sn-Sn-1

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Q: Let n be an integer such that n mod 7 = 5. What is n² mod 7? 04

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Q: 3x-2y=-7 2x+y = 7

A: given graphs

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Q: The partially completed table below shows the ten basic solutions to the following e-system. What is…

A: Given,        x1+x2+s1=292x1+x2+s2=305x1+x2+s3=45 and   x1 x2 s1 s2 s3 (A) 0 0 29 30 45 (B) 0…

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Q: Consider the poset with the following Hasse diagram.

A: Consider the set 6,7. 3 and 1 are the upper bounds for the set. So, lub6,7=3

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Q: Differential equation: t2y'' - ty' - 3y =0. What values of z is y(t)=tz a solution to the…

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Q: Consider the two statements below: Statement 1: vx € Z¹, [(2x +1>3) v (2x²-12 1)] Statement 2: 3x €…

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Q: Dependencies in critical path analysis is/are The tasks that are required to complete a project. The…

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Q: 2. Using Gauss-Seidel, compute a solution to the problem Ax=b where A is an nxn matrix of the form A…

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Q: Find the general solution of the following systems. Show your calculations clearly (a) y₁ = 6y₁ +9y2…

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: (a) Determine the Inverse Laplace transform using partial functions for the following: L-¹{2…

A: (a) To determine: the inverse Laplace transform using the partial functions for the following: (i)…

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Q: 6. Let r> 2 be an integer. Show that R(2r, 2r) > 2

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Q: Evaluate: 3/20° × 15/45°

A: the given expression is 3∠20°15∠45° Multiply the polar magnitudes and add the angles of the complex…

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Q: Evaluate the Taylor Series for f(x) = x³ - 10x² +6 at x = 3.

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Q: Which term in the expansion of 1 3 2x I is a constant?

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Q: (a) Consider the definition of Fibonacci series: where Fo= 0, F₁ = 1, F₂ = 1, and the recursive term…

A: Given the Fibonacci series as Fn+1=Fn+Fn-1 Also given F0=0F1=1F2=1

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A: Given that:      pH value of Pure water = 7.0      pH value of Milk            = 6.4

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Q: A pentagonal fractal pattern has the sequence (1, 5, 25, 125,...). The recursive formula is Ob OC a₁…

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Q: 2. Assume that there are three people (A, B, and C) and that there are only two kinds of people:…

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A: We will use c++ to code this problem

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: f(x) = x³ + 3x + 1 This function is odd. True False

A: Assume f to be a real-valued function of a variable that is real. The function f is odd when the…