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Read the following passage and answer th...

Read the following passage and answer the questions given below.

The temperature of a person during an intestinal illness is given by `f(x) = -0.1x^(2) + mx + 98.60 ,le x le 12,`m being a constant, where f(x) is the temperature in `""^(@)F` at x days.
Is the function differentiable in the interval (0, 12)? Justify your answer.

Answer

Step by step text solution for Read the following passage and answer the questions given below. The temperature of a person during an intestinal illness is given by f(x) = -0.1x^(2) + mx + 98.60 ,le x le 12,m being a constant, where f(x) is the temperature in ""^(@)F at x days. Is the function differentiable in the interval (0, 12)? Justify your answer. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Knowledge Check

  • If function f(x) = x-|x-x^(2)|, -1 le x le 1 then f is

    A
    continous at x=0
    B
    continous at x=1
    C
    continous at x=-1
    D
    everywhere continous

  • The function f (x) = x - |x - x ^(2) | , -1 le x le 1 is continuosu on the interval

    A
    `[-1,1]`
    B
    `(-1,1)`
    C
    `{-1,1] -{0}`
    D
    `(-1,1) -{0}`

  • Let g(x)= f(x) +f'(1-x) and f''(x) lt 0 ,0 le x le 1 Then

    A
    g(x) increases on [0,1]
    B
    g(x) increases on [0,1]
    C
    g(x) increases on [0,1]
    D
    g(x) increases on [0,1/2] and decreases on [1/2,1]

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