Calculus Related Rates

Calculus Related Rates - CALCULUS NAME H RELATED RATES 1...

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Unformatted text preview: CALCULUS - NAME H RELATED RATES 1. Given y = "Ix—12 , ﬁnd each of the following. (Bang- I OH“? WM 62101410773: OF “WED a d—y if§=4whenx= 2 'b. Eifﬂ=6w1menx=1 rd; dz dz: dz: db .1 7 9‘3: 91 = 1 93. dt ‘3“: dt dt :11; d): 2 at K ) d“: 51% : d ~—-- ‘ 28 W .15., c 7 at 2. Given 28+}? 2635, ﬁnd each ofthe following. Doc-m1! x are 130‘” WWI—W335 ﬁﬂmt‘S‘) ; , adi— iii—35:3 at (2,2) ‘0. E if d—y=—4at d(2,2) i dt dt _ d: dt _... , \x 6):: __ I 2 Sid z in ' Z( 3(5) +2C2J 1H: {5) Efﬁgy 15\$ +?—(Z)C ”‘0’ (ﬂ___ {L21 )2;+ \$4.53; M :1; m» .‘Jt ‘3 L). cit- up: (57“— Tit" d3 3. 1 —— - d ”a"; “/2 ”9 “a“; V”) --—g 335.. (it ‘1 I I i w ‘ 3. Given a square, ﬁnd E if the Side of the square is increasing at 5 ft/min when the side _ dr i5 8 ﬂ. F) = 66}. gs 2‘3. 2 Le clt t , 9.3. -; 1(3H—M’S ijn) d t- “1’14 ﬂ 2‘: 3 C) /m tr"; CH? ' as. 4. Gwen a cucle, ﬁnd Er— 1ftherad1us of the e1rcle IS decreasmg at 2 cm/sec when the - radius is 10 cm. 6: Hr Z ‘-. CPI "—- 2&1er Cit CH: 3—? 1'2“ (105m) (‘Zcmlb&c) F} 2 “4&2“ .3 “L‘IOIT Cm /5EC 5. Given a box which has a length that is twice the width, ﬁnd E if the length and the dr Width are increasing at 3 in/sec and the height is decreasing at 2 in/sec when the width is SinandtheheightiSSm. 7.. . VZ/Q-U—‘h ___ Zul(u9(.h) 22m H i. CI" — uze.n?~)(’a’g%)+ﬁ(3m¥5m)(§é é?“ —. . - 3 . ‘ E]:— 1’l00\r§/59C rqsoln sec (\— V “' a ..._.. = 530 m ﬂoec "“ 3‘ )3- H N E N B” + j. I. E %% IE; ‘J:. 5 “Ta 6. Given a closed top box, ﬁnd how the total surface area is changing if the length is increasing at 3 cmjsec, the width is increasing at 4 cm/see, and the height is decreasing at 2 cm/sec when the length is 8 cm, Width is 10 cm, and the height is 12 cm. ' CH1 2 EL"; ECYT‘I CH: ECW715613 L”: | Oar-v: 99:9— : Lich’iieec ‘ helicm ('14:: i» _ 7 El}; «.- aacn‘wIﬁ-e-c ' ﬁx Of: am - 2 i’ d ‘ {9‘43" “in: "2 U ‘56; '*W‘%@ + z12 2533,11"; +Zw% *3“ “as .i ‘ ; ._ ' £11. 5,: £52— ; @(Eam)[4¢méwc) “I" 27(10c.m5[\$ Chaise-L3 +£ (Saar-3M ‘5 "as“? d t — at: why 5““!58C) + 2 {wocrrﬁb z. “WERE 4.2,»:'am--,)g "L5 73*" Me) _._:A ...
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