Find the cubic function that is the best fit for​ f(x) defined by the following table x f(x) 0 0 1 1 2 5 3 24 4 60 5 110 y=?

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A: We will justify that given statement is true or false.

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A: Apologies. We only answer one question at a time. We will answer question 1 as the exact one wasn't…

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Given :- The second degree polynomial approximation to f at a,b = 1,-2 f x,y = -x2y2x2 +y2

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A: See the detailed solution below.

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A: Option (C) is correct.

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A: Given: y=2x-123x+4

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A: This question can be solved using the concept of derivatives.

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A: The given data is: x2+y2+z2=4 To find the value of dzdx

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Q: write a cubic function y=ax^3+bx^2+cx+d that has a local maximum value of 3 at -2 and a local…

A: Definition used -                 The maximum and minimum value of a function -…

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A: Given:- y2 dy = x(xdy-ydx) ex/y To find:- General solution of given differential equation

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Q: Q1) Find the tangent y = vx² – x + 7 at x = 2.

A: The detailed solution is as follows below:

Q: Every cubic function (i.e. function of the form f(x) = ax³+bx²+cx+d with a, b, c and d constants,…

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Q: 1. Find the local extremum of the function (a) f(x,y) = 2x² – xy + y² – x – 5y + 8 (b) f(x,y) = xy²…

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.