Math 1A - Spring 2001 - Ratner - Practice Final

Math 1A - Spring 2001 - Ratner - Practice Final -...

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Unformatted text preview: . MATHEMATICS. 1'51- 11151111151151 F5151. 3'51. ancr. 5—5 HEWEW PRflBLEl-IS Fflfl‘. FIN AL EXAM. Th1: Final E55511 will 5151:: place 1511 Nilflldflf. Mag; LI. 11530-3531} p.511. Th1: Fmal Exam wiil 1:1:1-5-5r 511 the 51115:: 1115111515111 1115511551511 151 Jealum. 51:51 15151511551131 515511151151. during 11115- 551111551111. 11 wilt be hand 1:111 Ilhummmrk auigrumnw 1- H: 21 problem-1 11115111: in 115151111555 55111 15555115511511 5cclmn5: 3}qu1'11 pmblcms: 411551511515 L pruhlams far 1111: 115515 11111115515111. 5111511: 151‘1151: 5115115151515 1511 1h: E55111 11.-1'51 I51: lurder than Midlcrm 551-5111151155 and quiz prubltnu. Th1: fullnwing 1151 155‘ 511.1; 1:151:1- 1511 II help 3.11511 1111 prepare 5715:1111: E1111r11- 51515111515. 4'" 5151111511.- 11 p. 555: 15 131 p.259: E1. HQ _ 3? {.11. 29-1: 25' fl 4211:. 305:151. I512. 53b] 51 pp. 551-555; 1.5. 5. 5. 11. 15.51. 55.45.55.451. 55. 55. 55. 1519p. 334-33451: 1~3. 5. 19.11.17". 3!. 13. 29. 33 T1 pp. 5511-5155.- 1. 5. 5. 15. 115. 15. 45. 45. 515. 55. 5-1- 55. 155-55. 51 p. 555: 5. 15. 15. 15. 115. 15. 51. 55. 51. 55. 55511. 515.555.- 1-5. 5.5. 11. 15. 15.55- Addlflunfll problem: Evaluate the fallen-mg [1111515. 1 .1-1' a f 1 I I2 35' 5511-5155-{5514 an-I-nnmnfiw E] #55.- h] ELI!“- 1555-55 55-15 5:1 4““ I 'E“ 3" 1- {al.5- pnmta} Evaluaia the {011mm limits: I} [10 Points] . Er+ainm lira Hi" x+e?I—: ’fi 1:} [ll] point-1i} . ‘1“: 5 lflflc’tfln £3+1 ll #55 tHlfll-Iflhl (val-[91 ' Hm—I 2. [10 points} Difi'mntima [do nut simplify]. u =' {arm «film 3. [1|] paints} Balm far I: locallusaiifl . 2‘ + 11" 110553! =1 4. {15 pain} a] {lflpninta}F1udtbalucalmmfimumandthelmalnflninnmmuf {[rl-amfi—EI‘ h] {5 what-a] Find the abaulute maximum and the abanlute minimum of fix} in. put a} an the interval [—212]. 5. {21] paints} The surfeeemeefnbefl ieinereeaing at a rate efB em’fmin. At. the time when the surfane area ie 11' m1 what in: a} {11] points} the reteafeheugeufthe radius afthehall'? b} {1n paints] the rate efehenge ef the wlume 0f the ball? {'Thefim-faeeereeefebeflefmfiiueriaA=41rr2andthem1mueieF=garr3J ...
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