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Application MCQs

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  1. 1.

    Points of non-differentiability of |x^2-5x+6| = |(x-2)(x-3)|:

  2. 2.

    f(x) = x^2 sin(1/x), f(0)=0. Which is true?

  3. 3.

    Number of discontinuities of [sin(pi*x)] in (0, 2):

  4. 4.

    Find c from LMVT for f(x) = x^3 on [0, 2]:

  5. 5.

    f(x)={ax+b, x<1; 2x^2-1, x>=1}. For differentiability at x=1, (a,b)=:

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