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15. Mean Value Theorems
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Q3 of 96 Page 15

Mark the correct alternative in the following:

For the function the value of c for the Lagrange’s mean value theorem is




It shows that f(x) is continuous on 1, 3 and derivable on 1, 3.


So, both the conditions of Lagrange’s Theorem are satisfied.


Consequently, there exists c Є 1, 3 such that

























Hence, Є (1, 3) such that .


Hence, Option (B) is the answer.

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1

Mark the correct alternative in the following:

If the polynomial equation a0xn + an–1xn–1 + an–2xn–2 + …. a2x2 + a1x + a0 = 0


n being a positive integer, has two different real roots α and β, then between α and β, the equation n anxn–1 + (n–1) an–1xn–2 + … + a1 = 0 has


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If 4a + 2b + c = 0, then the equation 3ax2 + 2bx + c = 0 has at least one real root lying in the interval.


4

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Questions · 96
15. Mean Value Theorems
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