A function is approximated by a cubic spline defined by: {"="64" (4 + 6(x-1) + 4(x-1)² An approximation of /(x)dx is: 28 25/12 2.5 5(x)= 30.0833 ¹²- (x - 1) for x € [0,1] for x € [1,3]

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A: From the given Divided Difference table firstly we will calculate the polynomial function from the…

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Q: Determine £¹{F}. F(s) = 2s² +110s +568 (s-5) (s² + 12s +61) Click here to view the table of Laplace…

A: We use partial fraction method and use results of inverse Laplace.

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A: According to our guidelines we can answer only one question and rest can be reposted.

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A: Given x3 - 3x - 15 = 0

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A: Given :               ℝn =x =x1,x2 ,x3 , ... ... ,xn: xi∈ℝ for all 1≤i≤nℙn=pt=a0+a1t + ... ... +antn…

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Q: (a) Let f(x) = -3x² + 4x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

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A: Given,              (1+Ax)y''+By'+Cy=Dxy(a)=0, y'(b)=1 Where             A=-3, B=2, C=-1, D=2, a=2,…

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Q: -4 -2 20 15 10 5 2 4

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Q: Let a, b € Z and both nonzero. Prove that gcd(a, b) x lcm(a, b) = |ab|.

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