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Unformatted text preview: 30 ft from the pole? 5 Problem 4. [10 points] Estimate 4 √ 16 . 001 using a linear approximation. 6 Problem 5. [10 points] Find the absolute minimum and the absolute maximum of the following function: x √ 18x 2 for2 ≤ x ≤ 4. 7 Problem 6. [20 points] Let f ( x ) = x 44 x 36 . (a) [7 points] Find where f is increasing and where f is decreasing. (b) [7 points] Find where f is concave upward and where f is concave downward. Find the infection points. (c) [6 points] Using the in±ormation ±rom parts (a) and (b), sketch the graph o± f . 8 Problem 7. [10 points] Show that tan x > x for 0 < x < π/ 2. 9 Problem 8. [10 points] Find the limit. (a) [5 points] lim x → 2 e xe 2 x 24 (b) [5 points] lim x → + x ln(sin x ) 10...
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This note was uploaded on 02/07/2012 for the course MATH 1271 taught by Professor Ming during the Fall '08 term at Minnesota.
 Fall '08
 MING
 Calculus

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