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Recent questions tagged mean-value-theorem

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Find a point on the graph of y=x3(cube) where the tangent is parallel to the chord joining (1,1) and (3,27).
asked Apr 30, 2018 in Calculus Karan Dodwani 352 views
3 votes
1 answer
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
asked Dec 29, 2016 in Calculus smartmeet 1.5k views
3 votes
2 answers
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 ___
asked May 12, 2016 in Calculus pC 2.2k views
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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 function therefore differentiable ... How to proceed further?
asked May 12, 2016 in Calculus pC 1.4k views
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