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Find the approximate value of f(x)=(x-2)...

Find the approximate value of `f(x)=(x-2)^(2)(x-3)`, when x=3.05

Text Solution

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The correct Answer is:
0.05
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Knowledge Check

  • The maximum value of f(x)=(x-2)^(2)(x-3) is

    A
    2
    B
    4
    C
    `-4`
    D
    0

  • If |x| is so small that x ^ 2 and higher power of x may be neglected then an approximate value of ((1 + (2 )/(3)x) ^(-3) (1 - 15 x ) ^(-1//5))/((2- 3x ) ^ 4) is

    A
    ` (1 )/(8) (1 + 7x ) `
    B
    ` (1 )/(16) (1 - 7x ) `
    C
    `1 -7x `
    D
    ` ( 1 )/(16) (1 + 7x ) `

  • If |x| is so small that x^2 and higher powers of x may be neglected, then an approximately value of ((1+(2)/(3)x)^(-3) (1-15x)^(-1//5))/((2-3x)^4) is

    A
    `(1)/(8) (1+7x)`
    B
    `(1)/(16) (1-7x)`
    C
    `(1-7x)`
    D
    `(1)/(16) (1+7x)`

    • Similar Questions

    Explore conceptually related problems

    Find the approximate value of f (3.02), where f(x) = 3x^(2)+ 5x + 3.

    Find the approximate value of f(5.001), where f(x) = x^(3) – 7x^ 2 + 15.

    Find the approximate value of f(2.01), where f (x) = 4x^(2) + 5x + 2.

    Prove that : If |x| is so small that x^(3) and higher powers or x can be neglected, find approximate value of ((4-7x)^(1//2))/((3+5x)^(3)) .

    By neglecting x^(4) and higher powers of x, find an approximate value of root(3)(x^(2)+64)-root(3)(x^(2)+27).

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