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Prove that for the function y = alphax^...

Prove that for the function `y = alphax^(2) +betax +gamma` the number `xi` in the Lagrange formula ,used on an arbitrary interval [a,b] is the arithmetic mean of the numbers a and b : `xi = (a+b)//2`

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Knowledge Check

  • If the mean of the set of numbers x_1,x_2,……,x_n is overlinex ,then the mean of the numbers x_i+2i,1 le i le n is

    A
    `overlinex+2n`
    B
    `overlinex+n+1`
    C
    `overlinex+2`
    D
    `overlinex+n`

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