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# hw12 - f x If it exists what is the absolute minimum(c Find...

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Math 2250 HW #12 Due 1:25 PM Friday, November 4 Reading: Hass § 4.5–4.6 Problems: Do the assignment “HW12” on WebWork. In addition, write up solutions to the following problems and hand in your solutions in class on Friday. 1. Consider f ( x ) = 1 4 x 2 + 7 (a) Find all critical points of f ( x ). For each one determine whether it is a local maximum, a local minimum, or neither. (b) If it exists, what is the absolute maximum of
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Unformatted text preview: f ( x )? If it exists, what is the absolute minimum? (c) Find the inﬂection points of f ( x ) and determine on what intervals the graph of f ( x ) is concave up and on what intervals it is concave down. (d) Using the information in (a)–(c), sketch the graph of f ( x ). 2. Evaluate the limit lim x → 8 x (1-cos x ) x-sin x 3. Evaluate the limit lim x →-∞ x 3 e x . 1...
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