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How can the equation f = (L2 − d2) / 4L be linearized?

Mathematics

ScanSolve AI Answer

Answer

To linearize the equation f=L2−d24Lf = \frac{L^2 - d^2}{4L}, we need to transform it into the form Y=mX+CY = mX + C, where YY and XX are new variables that are functions of LL, dd, and ff, and mm and CC are constants.

Step-by-step solution

3 steps
  1. Rewrite the given equation.

    The equation is:

    f=L2−d24Lf = \frac{L^2 - d^2}{4L}
  2. Multiply both sides by $4L$ to eliminate the denominator.

    4Lf=L2−d24Lf = L^2 - d^2
  3. Rear

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