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![and we know that Mean value theorem states that o fins is continuous on the closed internal [a,b] 2) fins is differentiable o](https://i.imgur.com/oR4yMRn.png)
![20 ) 1. c = ½ € (-2, 3) b) f(n)= nt 2n2-4 [~1,3] here fon) is continuous in [13] and f1 (1) = it un fin) is differentiakle in](https://i.imgur.com/bVzf4wG.png)
and we know that Mean value theorem states that o fins is continuous on the closed internal [a,b] 2) fins is differentiable on the open interval (a,b) then there is a number c such that accab 1 f1(a)= flbo-fra) К ъща Now as f(x)=x²_ 3x-2 [-2,3] f(x) is a polynomial, so clearly it is continuous in [2,3] f9(x)= 2n-3 and fins is differentiable in (-2,3) Heure both conditions of mean value theorem lo satiesfied. Now # ako I a number c acccb such that flrc- febl flag - bra f1(c) = f(3) fl-2) 3-(-2) f!(C) = (9-9-2) -(4+6-2) in 26-3 = -279= -2
20 ) 1. c = ½ € (-2, 3) b) f(n)= nt 2n2-4 [~1,3] here fon) is continuous in [13] and f1 (1) = it un fin) is differentiakle in (-1,3) Hence both conditions of mean value theoson is a satisfied. Now 7 a number c e acceb such that ficaz f(b) - fea) ba flcc) = f(3) – f2-1) - 3- (-) 1thc = (3 +18-4) - (-)+2-4) 4.
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It4c 17 - (-3) uc= 4 Caie E113) ū35
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