Find the appropriate Lagrange interpolating polynomial using the following data table x 0 0.5 1 f(r) 1 2 3 1.5 4

Q: Find the domain of f(x)=x² for 0<x<5. O (1,25] O (0,25) O [0,25] O [1,25)

A: Given: The function is fx=x2 for 0≤x≤5. To find: The domain of the given function. The given options…

Q: Consider a set of four data points: f(0) = 3, f(4) = -2, f(-1) = 2, and f(1) = 1. In the following,…

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A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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Q: Given: Find: 7. (g)(x) 9. (f/g)(x) f(x)= x² + 10x + 25 h(x)=x²-49 e(x)= 3x² + 25x-38 g(x)=x+5…

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Q: Pls help ASAP. Pls show all work and steps.

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Q: 6. Use the Gram-Schmidt orthogonalisation procedure to construct orthogonal polynomials {0, 1,02) on…

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Q: Consider a set of four data points: f(0) = 3, f(4) = -2, f(-1) = 2, and f(1) = 1. In the following,…

A: Given: A set of four data points is f0=0, f2=-1, f-1=2 and f1=2. To determine (a): The matrix A and…

Q: Question 1. (e) J 1 ਸੰਤ æ3 – 1 - æ3 +1 x2 + 7æ + 12 dx. dx. Evaluate the following integrals:

A: Sol:- (c) ∫1x3-1dxTake the partial fraction of 1x3-1:  13x-1+-x-23x2+x+1=∫13x-1+-x-23x2+x+1dxApply…

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Q: 3/16, 9/32, 3/8, 15/32, 1/8, 11/64, 1/4, 23/64,. 5/16, 1/4, 3/16, 1/8,. * * *

A: The given patterns are  316, 932, 38, 1532,......18, 1164, 14, 2364, ......516, 14, 316, 18, ....…

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Q: 1. Consider a set of four data points: f(0) = 3, f(4) = -2, f(-1) = 2, and f(1) = 1. In the…

A: Given Data: A set of four data points is f0=0, f2=-1, f-1=2 and f1=2. To determine : (a) The matrix…

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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Q: Question 10. Plot the result of the following convolution X₁(t) 0 2 4 X2(t) 0 2 6

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Q: Are the following functions quasi-concave? Assume x ≥ 0 a) f(x) = a b) f(x) = a + cx², c < 0

A: Both questions are different so I soved 1st queation if you want 2nd one then repost it again.

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A: Since you have posted multiple questions and we can answer one question. So, answered the first…