6) Determine if Rolle's Theorem can be applied. If Rolle's Theorem can be applied, find all values of c in the interval such that f (C) = 0 f(x) = (x+3)(x + 2)² closed interval [-3,2]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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question 6

6)
7)
Determine if Rolle's Theorem can be applied. If Rolle's Theorem can be
applied, find all values of c in the interval such that f (C) = 0
f(x) = (x+3)(x + 2)² closed interval [-3,2]
f(x)=
Apply the Mean Value Theorem tof on the indicated interval. Find all values
f(b)-f(a)
f'(c)=-
b-a
of c in the interval [a, b] such that
3x-5
2≤x≤4
2x+1
Transcribed Image Text:6) 7) Determine if Rolle's Theorem can be applied. If Rolle's Theorem can be applied, find all values of c in the interval such that f (C) = 0 f(x) = (x+3)(x + 2)² closed interval [-3,2] f(x)= Apply the Mean Value Theorem tof on the indicated interval. Find all values f(b)-f(a) f'(c)=- b-a of c in the interval [a, b] such that 3x-5 2≤x≤4 2x+1
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