ma142ahw8 - Math 142a Homework#8 due in drop box by 5 P.M...

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() . sin 2 dt t dx d x x = 1 1 3 ? 0 1 dt t ∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε Math 142a – Homework #8 - due in drop box by 5 P.M. Thursday, March 4 Read Lang, pp. 101-109 and Lectures Part 5, pp. 75-81. ∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε∃δ∃∀∂∞ ∀ε 1) Fill in Lang’s proof of Theorem 1.1 on page 102 by finding the left hand derivative (i.e., the case h<0). 2) The Mean Value Theorem for Integrals. Suppose f:[a,b] is continuous. Show that there is a point c in [a,b] such that
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