Using Lagrange's interpolation formula, find a cubic polynomial which approximates the following data X y -2 -12 -1 -8 2 2/3 35 5

Q: 5. The sequence of partial sums of the equation Σ (a)32 (b) 3/4 n=1 1 3n-1 (c) 1/3 (d) -1/3

A: We need to find the value of ∑n=1∞13n-1 Now ∑n=1∞13n-1=limn→∞ ∑k=1n13k-1                         =…

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Q: You must show all work! (You may check your answers using your graphing calculator.) = -[. 52 1 4 -2…

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Q: 7. The quadratic spline interpolating (-1, 0), (0, 1) and (1, 3) is Qo(x) = 1 + 2x + x², Q₁(x) = 2x…

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Q: 5.) You can use technology for this problem, keep calculations accurate to at least 10 decimal…

A: Given differential equation is y' = x2y,   y0=1,  h=0.1 Take   fx, y= x2y  then y' =f x, y initial…

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Q: If f(x)-3x+3x and f'(0)-3( by using 2-points formula with h=0.5), then the value of a is Select one:…

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Q: 1. Let {V₁, V2, V3} CV be a linearly independent subset and let v4 € V. Which of the following is…

A: To find which of the following is correct for the given sets .

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Q: Activity # 4: Inductive and Deductive Method A. Use inductive reasoning to guess the next three…

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Q: Q3./ Solve the following simultaneous ODE, y₁ = -3y₁+ y2 y2 = Y₁ - 3y2 У1

A: The solution is given as

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

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Q: determine a cubic approximation centered on the origin of the result of the following double…

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Q: Question 1. Find the inverse of matrix [1

A: As per the bartleby guidelines I am solving first question. Please reupload for second part. 1. We…

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Q: Use the left to right addition method as outlined in the module to add the numbers. For the middle…

A: Explanation of the answer is as follows

Q: 7. The absolute norm for tensor of two eigenvectors of A = (33) is (a) 3 (b) √3 O O b O O d a C (d)…

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Q: Q1.B. if k-1 is an eigen value of

A: λ=1 is the eigen value of A=5412

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Q: Q3) A: Find y if: a- y = sin 2x + 2 cos x c- y = sin √x (As... b- y = secx. csc x d- y = tan(2x + 1)

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Q: Consider the 2-periodic function defined on [-7, 7] by: f(x)=x²-x² (1) The function f is a. even…

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Q: Q1.B. if k-1 is an eigen value of (2), find one corresponding eigen vector?

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Q: By using Simpson's 3/8 Rule alone, one can the area under a curve when the number of segments is any…

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Q: Find the interval of convergence of the series (-2)*¹*¹ (x − 1)* 4* (k+1) k=1

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Q: 4 1) L-^ { 2x-3 5²-4x+8.

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