Given a cubic spline interpolation: So(x) = 1+ a,x – x³; s,(x) = 2 + E-1 ak Px(x); if 0sx<1 if 1

Q: The point (-2,1) is in the domain of the function given by f(x,y) = sqrt(x+2y) + ln(x+3y) True or…

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Q: 1 >Use the following models to consider the function f(x)=; on the interval 1+x? [-5,5]. (1)…

A: The function given is as follows: fx=11+x2 (1) We are asked to find the interpolating polynomial of…

Q: Find all zeros of H(x)=5(x-2)^2(x^2-4x-3). Show work and simplify.

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Q: Let g(x) = x-6. Find f(x) so that h(x) = (f o g)(x) h(x) = (x-6)^5

A: Given g(x) = x-6 h(x) = (f ∘ g)(x) h(x) = (x-6)5 We have to find f(x).

Q: 4x

A: Zeros of f(x) must satisfy f(x),i.e., f(x) will reduce to zero at the zeros of f(x).

Q: h = (-6x³ + 9xª + 5x7) (7 + 5x – 4x?). Then h= fgwhere %3D f = and g = Using the product rule h'(x)…

A: differentiate this with product rule.

Q: G(7/2)=2(7/2)^2+6 function of g(x)=2(x)^2+6 where G(x) is 7/

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Q: Find the following using the rule indicated (only): i) If f(x) = (6x? – 8) (3x + 2), find f'(3)…

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Q: Derive a 2nd order accurate finite difference expression for the first derivative at point i-1,…

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Q: of the 7x - 9x-2

A: We have to choose the correct answer from the given options

Q: f(x) = x3 -3x2 - 3x +1 x=-1 is a root of the function how would you show that?

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Q: By using intermediate value theorem locate a root for the f(x) = 2x3 - 3x2 - 6.

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Q: Given f(x) = 2/x + 5 and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)).

A: Let's find.