2. Let f(x)=e". Find 4th-order Lagrange interpolation polynomial P4(x) using the nodes -1, -1/2, 0, 1/2, 1. Fill in the Table below. f(x)=e* g(x)= p,(x) | f'(x)=e g'(x)= p'(x)

Q: Consider the function ?(?) =1/x and the data points ( 0.1, 10), (0.2, 5), (0.3,3.33) Find Lagrange…

A: Introduction: The formula of Lagrange interpolation polynomial is given by,…

Q: FX)=f(f(x))and G(x)= (F(x) F(4)=13f(13 )=3 f(13)=6f(4)=6 OF(4)- G'(4)=

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Q: Use the given graph of y = f(x) to graph the function g : g(x) = f(x + 1) + 1

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Q: Differentiate

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Q: Let f(x) = e^x. Find the polynomial P2(x) of degree at most 2 such that P2(1) = f(1), P2(2) = f(2),…

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Q: 3. Let h(x) = 2x - 3 and g(x) = 5 - x   a) Find h( g(2) ) b) Find h( h(x) )

A: 3. Let h(x) = 2x - 3 and g(x) = 5 - x (a) Find h( g(2) ) (b) Find h( h(x) )

Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is - concave upward on O (-∞0, 2) O (-∞, ∞0) O (2,…

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Q: find (f+g)(x) (f-g)(x) (f•g)(x) (f/g)(x) and their domains

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Q: Find y" of y=- y" = y" = O y" = y" = X-1 2 (x-1)² 2 (x - 1)³ 1 (x - 1)³ -2 (x - 1)³

A: Topic = Derivative

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A: l(x)=f(a)+f'(a)

Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

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Q: f(x) = In (1+x³)

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Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,0) (1, )

A: Here we have to find the point of intersection of f(x)=2x ............................... (1)  and…

Q: Let f(x) = e^x Find the polynomial H3(x) of degree at most 3 such that H3(1) = f(1), H3(2) = f(2),…

A: Given: Consider the given f(x) = ex .Using a (generalized) divided-difference table, find the…

Q: Vipul

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Q: Let f(x) = 3x^3 + 3x^2 + 3x+ 3. Write f(x) as a product of irreducible elements in:

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