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ma142ahw7 - Math 142a Homework#7 due in drop box by Thurs...

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∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂ Math 142a – Homework #7 - due in drop box by Thurs. Feb. 25 ∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂ 1) Prove the Generalized Mean Value Theorem also known as Cauchy’s Mean Value Theorem . This says the following. Assume that f and g are differentiable on (a,b) and continuous on [a,b]. Show there exists a point c (a,b) such that [f(b)-f(a)]g’(c)=[g(b)-g(a)]f’(c).
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