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AP EAMCET202021 Sep 2020Evening ShiftMathematicsApplication of DerivativesActual

Find the value of ' (p ) ' and ' (q ) ' if the function (f(t)=t^3-6 t^2+p t+q ) defined on ([1,3] ) satisfies the Rolle's theorem for (c= 2 3 +1 3 )

Options

  1. A(p R , q=11 )
  2. B(p=11, q R )
  3. C(p R, q R )
  4. D(p=11, q=11 )

Correct answer

B. (p=11, q R )

Step-by-step solution

It is given that, function (f(t)=t^3-6 t^2+p t+q ) defined on ([1,3] ) satisfied the Rolle's theorem, so ( gathered f(1)=f(3) 1-6+p+q=27-54+3 p+q 2 p=22 p=11 and q R . gathered ) Hence, option (b) is correct.

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