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2 February, 05:43

The radius of a puddle is claimed to be 12.0 inches, correct to within 0.01 inch. Use linear approximation to estimate the resulting error, measured in square inches, in the area of the puddle.

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  1. 2 February, 07:17
    0
    the resulting error is about 0.754 in²

    Step-by-step explanation:

    A (r) - A (r0) ≈ dA/dr· (r - r0)

    The area of a circle is given by ...

    A (r) = πr²

    so the derivative is

    dA/dr = 2πr

    and the area error is ...

    dA/dr· (r - r0) = 2π (12 in) (0.01 in) = 0.24π in² ≈ 0.754 in²
  2. 2 February, 07:57
    0
    I think the answer is 23
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