8. Using the Mean Value Theorem and Rolle's Theorem, show that3 + x – 1 =0 has exactly one real root. 9. If f(1) = 10 and f'(x) > 2 for 1 < x < 4, how small canf (4) possibly be? %3D

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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8. Using the Mean Value Theorem and Rolle's Theorem, show that3 + x –1 =0 has exactly one real root.
9. If f(1) :
= 10 and f'(x) > 2 for 1 < x < 4, how small canf (4) possibly be?
Transcribed Image Text:8. Using the Mean Value Theorem and Rolle's Theorem, show that3 + x –1 =0 has exactly one real root. 9. If f(1) : = 10 and f'(x) > 2 for 1 < x < 4, how small canf (4) possibly be?
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