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Geometric meaning of rolles theorem and ...

Geometric meaning of rolles theorem and its use

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Knowledge Check

  • Consider the following measures of central tendency for a set of N number : 1. Arithmetic mean 2. Geometric mean Which of the above uses/use all the datA ?

    A
    1 only
    B
    2 only
    C
    Both 1 and 2
    D
    Neither 1 nor 2

  • Which of the following functions satisfies all contains of the Rolle's theorem in the invervals specified?

    A
    `f(x)=x^((1)/(2)), x in [-2, 3]`
    B
    `f(x)=sinx,x in[-pi, (pi)/(6)]`
    C
    `f(x)=ln((x^(2)+ab)/(x(a+b))), x in [a, b], 0 lt a lt b`
    D
    `f(x)=e^(x^(2)-x), x in [0, 4]`

  • The Geometric mean of 2 and 8 is-

    A
    4
    B
    5
    C
    8
    D
    16

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