Given the data * 6 0 1 2 4 1 9 23 93 259 a. Construct the divided-difference table b. Using Newton's interpolation polynomial, find an approximation to f(4.2).

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Q: 4. Find the length of the path over the given interval. c(t) = (t² + 1,4t³ + 3); 1 ≤ t ≤ 4

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Q: (c) If f is a C² scalar function, then V × (Vƒ) = 0. True False (d) The lines 1₁ (t) = (1 − t, 1+ t,…

A: (C) If c is scalar function Means      curl(grad ƒ)  is = 0   Therefore correct ans is  True

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Q: 8. If an+1 = 3an + 1 and ao = 1948 1822 1796 2004 2, then a6 =

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Q: Applied Math (22-23) 4th hour X ← → C O Santa Letter - Google Docs Paragraph Rewriter....…

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Q: (2) Find a power series for the function centered at 0. 3 1 (x + 1)² 1 (x + 1)³ (a) f(x) = (b) f(x)…

A: These are the problem bof finding power series of function centred at 0. According to the guidelines…

Q: Show that the polynomial x 4p +x²q+1+xAr +2 4r + x4s + 3 is 3 divisible by x³ + x² + x + 1, where p,…

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Q: *1: 3. Find the ML estimator of λ based on the samples of P{ x = x;;^} = e -2 2 - x! : X = 0,1, ...:…

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Q: 4. Let G be a group with 3-5-17 elements. As usual, let N, denote the number of p-Sylow subgroups…

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Q: a) Solve it using Gauss' method. Solution: x + 3y + z + w = 6 -Y +2w=-4 2x + 5y + 2z+4w = 8 X +7w=-6…

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Q: 01 02 = = Find the singular values 01 0₂ of A = 2 1 # 0 -2 -2 1

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Q: 12. C-1 더 13. C-1 ~ sle-28 8-31 2s (82 + +1)² 14. Find C-1 1 s1 ( 8(s + 1) J without using partial…

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Q: Kummer's Theorem: ₂F₁(a,b;b-a+1;-1) = T (b=a+1) T ( ²2 +1) b r(b +1) r(2-a -a+1

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Q: (21) Determine if the sequence if convergent. Explain your conclusion. (a) Cn n²-1 n²+8 (b) Cn (c)…

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Q: Consider the following vectors 3 ------ -2 y = 0 |ly|| = What are the norms of the three vectors? =…

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Q: Evaluate √√√1 + x² + z²dS, where S' is the helicoid with parameterization S r(u, v) = (u cos v, v, u…

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Q: Prove that the set W= { | a,b are real numbers } is not a vector subspace of R3.

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Q: (g) Let f(x, y) be a C² function which has a local maximum at (0, 0). Then the Hessian matrix of f…

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Q: a) Hand sketch a possible graph. b) Find if they exist points at which the tangents are horizontal.…

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Q: 11 A class with 24 kids lines up for recess. The order in which the kids line up is random with each…

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Q: Let f(x) = x², and compute the Riemann sum of fover the interval [5, 7], choosing the representative…

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Q: . If F(x)=√√√4t² + 1 dt, find F(2), F'(2), and F"(2).

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Q: 1. If y3x1 = b and A is a 3 x 3 matrix of number such that: y'Ay (2a - b)² + (3a − c)² + (3b - 2c)²…

A: y'Ay=2a-b2+3a-c2+3b-2c2

Q: How to find the average rate of change

A: To find the formula for average  rate  of change.

Q: Suppose a1, a2, ... > 0 and bn 1 bn diverges. n=1 a₁+a2++an Prove that n

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A: Given proposition A≈B and C≈D By the bijection                                  f:A∪C → B∪DDefine…

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Q: 1) Let A = [¹] and and B= =13241 be two matrices in M₂x2- a) Show that the matrix C = [] does not…

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