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6 Nov 2019
Q1. (a) Letf (x) ? px2 ?qx? r be aquadratic function defined on a closedinterval [a, b].
Show that there isexactly one point âcâ in (a, b)at whichf satisfies the conclusion of
Mean Valuetheorem.
(b) For thefunctions f(x) ?x4 ? 4x3 ? 4x2 and( ) 3 ( 2 4)
2 g x ? xx ?, find (i) Theinterval on
which the function isincreasing and decreasing (ii)Functionsâ local andabsolute
extreme values.
Q1. (a) Letf (x) ? px2 ?qx? r be aquadratic function defined on a closedinterval [a, b].
Show that there isexactly one point âcâ in (a, b)at whichf satisfies the conclusion of
Mean Valuetheorem.
(b) For thefunctions f(x) ?x4 ? 4x3 ? 4x2 and( ) 3 ( 2 4)
2 g x ? xx ?, find (i) Theinterval on
which the function isincreasing and decreasing (ii)Functionsâ local andabsolute
extreme values.
Bunny GreenfelderLv2
9 Jan 2019
