[See Solution] Using the principle of mean-value theorem on the indicated interval, find all numbers c that satisfy the? conclusion of the theorem.? f(x)=x+(x-3)^2,


Question: Using the principle of mean-value theorem on the indicated interval, find all numbers c that satisfy the?

conclusion of the theorem.?

  1. \(f\left( x \right)=x+{{\left( x-3 \right)}^{2}},\,\,\left[ 1,4 \right]\)
  2. \(f\left( x \right)=5{{\left( 1+2x \right)}^{1/2}},\,\,\,\left[ 0,4 \right]\)

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