10.11.Solutions by hand WS 2.4_Page_2

10.11.Solutions by hand WS 2.4_Page_2 - For each of the...

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Unformatted text preview: For each of the following problems, find {he absolute minimum and maximum values of each function, if they exist, over the indicated interval. Also indicate the value of x at which each extremum occurs. ————_—j 3. f(_x)=§/x-2 on [1—8,l] 41130135 0" [-831] X X (criticai values and endpoints ) Absclute max. 71 g“? which occurs at x I ”53“. Absolute max. 2 mi.“ WhiCh occurs at X = L- 2 ”'1 5. f(x)=—1,2x +40x—270 on (-0033) 6. flxl- ‘2 + 50 W (0,121) 431m :v‘ffiwiiwer ., Lidi‘iwteg) _ x 1-4 1 , - "31113-1 ,Rx13131 Ln "3‘ 11 ”25‘? bwgfifi/i Vfl-ffiwwww K, :1 Lag M > (I I w( "K ‘3 " ., ":5: 7w ,, w. . , . ,.__ ‘9.55712 {415633 51”“: @39wa ’M ”WWW 594% ”Q"? ‘*‘ “E"; T’ ‘3’ ) 11amfi§féig 1:31 11'; 59113-- Livfi/d’lfijfigifif V’fiégfiztfi . 3% 55*“ 5' M, 3345f (J :3. 6.3 '1 ,1! .1 i > , “Wu. H 1474);“, $.41)“tu K“ 5‘ 314,255“ 7+1; _ , , _ i +I[ “a; 7" ‘" £1 4‘3; W 704:4” Mm 4:174 (4% j‘,‘ if 5‘- "554%; W fags/avg Wm ~ .._,- « # , ~ I if” 1' ». W M€m4 4prw m. l-(Lal‘: 1174: (p) p "Q ‘ 434152;»; {:04 he 3;: Q. 1'“ 3%; W ,, , .. 4», 77W {90% (kt/f X 17' 63 - “é" “(5’3 2; L2 153' Egg” 1" 3!» f ‘1‘ 7: Q ‘70 time-awu' W 442:? 3.144.. 4 ' ' ,11‘ '. , , , ,. , “‘3 - \ Mi» \Argwtfl A 1 é’J’WJ‘TLgie’S am {243%, “gm L/Vl’iué’flumyyd’tm m JFK 3,) z: 755".” ifigflai‘é‘g’ MW szfl) 4W/Mvwcfleq4 . 7. f(x) = q 0H [0,2] 8. f(x) = ., on [2,4] x—a X") ‘W ,ngw,€ mfiwm .4474» La} 9-? jfiw’iWAEJZQ—m Ma Q- /MW/éf (aw ' {”C05 3 '— zf/g (ME: y” ”3’ W’féw4’z 53/19 441:» reflmhdéw 1% 2A ,1; w a; ' 73%, (May—52mg mtxmfi41a¢mW «é?— 1'L-1 urgeéi—Q WWW 622%, 1 14.22,, me, memes/ta. 44444;,me 4;,» ’ 273 MM W- «:16: it a g_ MfiLfia-w’pzfir 40-11» 2:12.) ng ...
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