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Recent questions tagged mean-value-theorem

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Mean Value Theorem ( Lagrange's), How to take Domain in this type of questions?)
Find a point on the graph of y=x3(cube) where the tangent is parallel to the chord joining (1,1) and (3,27).

Karan Dodwani asked in Calculus Apr 30, 2018

by Karan Dodwani

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Mean Value Theorem Question(Explain the concept)
A rail engine accelerates from its stationary position for 8 seconds and travels a distance of 280m. According to the Mean Value Theorem, the speedometer at a certain time during acceleration must read exactly. (A) 0km/h (B) 8km (C) 75km/h (D) 126km/h

smartmeet asked in Calculus Dec 29, 2016

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Lagrange 's Mean Value Theorem 2
If f ' (x) =$\frac{8}{x^{}2+3x+4}$ and f(0) =1 then the lower and upper bounds of f(1) estimated by Langrange 's Mean Value Theorem are ___

pC asked in Calculus May 12, 2016

by pC

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Lagrange 's Mean Value Theorem
Question: The value of $\zeta$ of $f(b) - f(a) = (b-a) \cdot f'(\zeta)$ for the function $f(x) = Ax^2 + Bx +C$ in the interval $[a,b]$ is _______ My Attempt : STEP 1: $f(x)$ is polynomial function therefore continuous STEP 2: $f(x)$ is polynomial ... How to proceed further?

pC asked in Calculus May 12, 2016

by pC

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Recent questions tagged mean-value-theorem