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h 22 3 Exercise 1B 1 a 6 b 5 c 12 d 3 2 e 20 f 72 g 30 3 h 32 i a 2 b 3 2 d 1 e 4 f 5 10 g 4 h 8 10 i 3 3 a 4 3 b c 18 d PDF

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Captr Eris A a is a sur 9 is a sur 0. is a sur 0. i is a sur j 0. k is a sur l 0 is a sur a i + a a i 0 Eris B a 0 0 i a 0 0 i a a i j 0 k a 0 Eris C a i. ii. iii. Gratr aura
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Captr Eris A a is a sur 9 is a sur 0. is a sur 0. i is a sur j 0. k is a sur l 0 is a sur a i + a a i 0 Eris B a 0 0 i a 0 0 i a a i j 0 k a 0 Eris C a i. ii. iii. Gratr aura aiv wit mor imal plas. a i 9 ii iii i. ii. iii..0 Stunt s own answrs m a mm 0 0 m a 0 m m m m m a m m ( ) m ( + ) m a m m m m PS m 9 a m m m 0 a m m a m m Eris D a a 0 i j 0 k 0 l Eris E a + a a m m Ativit a.0 Stunt s own answrs Stunt s own answrs Captr Eris A, a , a a Eris B a ( a) a t t a 9t m 0a 9 a a wn m : i ii iii wn a : i ii iii a From smallst to larst i m is a positiv wol numr ratr tan : m ; m 0 ; m From smallst to larst i m is a nativ wol numr lss tan : m ; m ; m 0 Ativit p. a ; ; ; 9 ; ; ; 9 ; Ativit p. a Fator Nam Smol 0 otta Y 0 ztta Z 0 a E 0 pta P 0 tra T 0 9 ia G 0 ma M 0 kilo k 0 to 0 a a Fator Nam Smol 0 i 0 nti 0 milli m 0 miro µ 0 9 nano n 0 pio p 0 mto 0 atto a 0 zpto z 0 oto Eris C a t 9 a i j k l 0 a t a t p 0 i j 0p k t l 0 a a Eris D a 0 0 t a Y 0 wil Z 0, so otta (Y) is ir tan ztta (Z). a 9 0 a p q t t u, 000u a a 0 t 0 a a u 000, t v u a 9 i z a Fals, aus + Fals, aus Tru, aus 9 Tru, aus Tru, aus : Tru, aus + 0 Tru, aus 0 Fals, aus i Fals, aus + ( ) Eris E a a a t a a t i p j m v a t a m a a a 000, 9 i 9 j a a a 9 i t 0 0 ; ; ; a i 9 ii 9 iii iv 000 v vi i ii iii a iv v t vi t Ativit p. a i j Eris F a a + a + + m m 0 a a p + p t + z + z + a a + a, a : +, : 0. +, 0 : m m, m : a, a : 9 a p + p, p : t +, t 9 : t z + z, z : 0, : 0. +, 0 :, : 0. a t + t m 9 m + 0 m m Eris G a i 0. 0 j. 0 k 0. 0 l. 0 a Eris H a m mils. 0 s a. 0 mils. 9 0 mils. 0 Earts. 0 m 9 0 Eris I a sp, m s alration, m s wav numr, m rqun, s or, m.k i j k i s prssur, k m.s nr, m.k s powr, m.k s ltri potntial irn, m. k ltri rsistan, m. k s. A manti lu nsit, k inutan, m.k s. A a mass nsit k m m.k Am m. s mols. m.k.s A sam k sam k ra katal s. A s. A wr simns ara Ativit p. Stunt s own answrs Captr Eris A a t 0a + a + a a p Cannot simplii pq 0 a a Cannot simplii m n i s rs Eris B a t + m a 90 0 t m 0 n + r a + a a a i 0 j k + l a a + a a t p 0 p 9 a 0 + 0t + t + m + m mw w + su s a + 0 0t t + w + w a + 0 t + w a + a mt + t + m np p + 0n a 0t t + a + t + t w w + + m 9 a T trianl T rtanl Eris C a t + t + a 0a + w w + z z + 0 r + r 0 t + t i a a a + u + u a + a 0 t t w w 0 s s i 0m + m a t t + a a t t + i a + 9a a + 0 a + + 0a + a + t + t a + t t a Dnis as tout tat ( a+ ) a +, wi is inorrt. Wn Kit as multipli t two trms in totr, as orottn to multipl t two aompanin ators o a m 0 m. 0 9 Eris D a t t + w 9w + w + 0 a + a a + a + a a + a + w w + w a a a + a a + a + a u u + u w w + 9w Ativit For an valu o, ( + 0. ) Captr Eris A a ( + ) ( a + ) ( + ) at ( + r) ( ) a ( ) ( ) ( a ) i ( z) j t( t a) k p( r) l 0( ) a qp ( r) ( t a) πr( r ) a( a ) no atorisation possil ( t u) t( t + ) ( z) i a ( + ) j m ( m + m + ) k ( p + q)( r + s) l ( qp rs) a ( + ) 00 ( ) 0. (. +. ) 9. (. +. ) 9 ( ) ( ). a ( t + r) a ( ) ( t) pp ( ) no atorisation possil ( a + ) ( m n) t( t + z) i no atorisation possil j ( + z) k t( r + s ) l t ( t + t ) Eris B a ( )( + ) ( a )( a + ) ( a)( + a) ( t)( + t) ( a )( a + ) ( t s)( t + s) ( )( + ) ( a )( a + ) i ( )( + ) j ( 0 )( 0 + ) a ( t + )( t + )( t ) ( + a )( + a)( a) ( + p )( + p)( p) ( t + 9)( t + )( t ) mn ( + + z)( z) a ( t + 9)( t 9) ( s + t)( s t) ( 9 + p)( 9 p) ( m + )( m ) ( a + )( a ) ( p + q)( p q) ( a + )( a ) ( 0 + 9)( 0 9) i ( + )( ) j ( a + )( a ) a Outr squar ara t ; innr squar ara. Sa ara outr squar ara innr squar ara Sa ara ( t + )( t ) m Button ara πr ; small irls ara ( πr ), Sa ara π( R + r)( R r) mm a ( 0 + a)( 0 a) m ( t + )( t ) m a m m Eris C a ( p + q)( p q) ( + )( ) ( + )( ) ( a + )( a ) 9( + )( ) ( + t)( t) ( m + n)( m n) ( + z)( z) i ( + z)( z) j aa ( + )( a ) k ( t + r)( t r) l ( + )( ) Eris D a ( a + )( a + ) ( )( ) ( w )( w ) ( )( ) ( p + )( p + ) ( 9)( ) ( t )( t 9) ( + )( + ) i ( t )( t + ) j ( )( + ) k ( 9)( + ) l ( 9)( + ) a ( )( + ) ( t + ) ( a )( a ) ( + )( + ) ( t + )( t + ) ( + )( + 0) ( m )( m + ) ( t )( t + ) a ( t )( t + ) ( m )( m + ) ( )( + ) ( + ) ( u + )( u ) ( )( + ) ( )( + ) ( m )( m + ) i ( p )( p + ) j not atoral k ( + )( ) l ( a )( a ) Eris E a ( + )( + ) ( t + )( t ) ( m )( m ) ( )( + ) ( u + )( u ) ( p + )( p ) ( t + ) ( m + )( m ) i ( + )( ) a ( t + )( t + ) ( m )( m ) ( + )( ) 9( + )( ) ( u + )( u ) ( + )( ) ( + )( + ) ( m + n)( m n) i ( + )( ) j ( + )( ) a ( ) ( m )( m + ) ( + ) ( + ) ( u )( u + ) ( )( + ) ( m )( m + ) ( p ) i ( + )( ) Ativit p. Stunt s own answrs Captr Eris A a ( ) 9 ( + ) 9 ( 0) 00 ( m ) ( t ) ( a ) ( ) 9 ( w ) ( ) i + j ( + ) k ( t ) ( ) l + 9 ( ) ( ) + ; ; ( + ) ; ; ( ) ; ; ( ) ; ; ( + ) 9; ; 9 ( + ) ; ; a + ; a ; a t a m a w 0 90 a 0 90 a a ( ) ( + ) ; ; m + ; a ; i a ( ) ( ) ; ; j a ; a ; k w 9 a ( ) l t + ; a ; a m + ( ) ( t ) ( ) ( ) ( a ) ( ) ( ) ( ) + ( ) + t + p + m + i + 0 j ( ) k ( a ) + l + Eris B ( ) a + ; t + ; t + ; a + ; a + ; t ( + ) ; t + ; + ; i + ; a m 0. ; m.. ; 0. w.; w. a. ; a 0. ;.;. 9 ( ) a + ; + ; + 0; 0 Eris C ( ) a + ( + ) ( t ) ( m ) ( w + ) 0 t + ( ) Ativit pp. Part Stunt s own rsar into irnt urvs. Part a i, ii, ( ) ( ) ( ) iii, i + + ii 0 + iii + Captr Eris A a a i p j + a+ k a + l m m n + o + p+ q p pq q r s r t a+ a a+ + a i j + k + + l + ( ) ( ) ( + ) + ( ) Ativit p. 9 Stunt s own answrs Eris B a + a + ( + ) ( ) Ativit p. 0 Stunt s own answrs Eris C a + ( ) ( + a) + Ativit p. Stunt s own answrs Captr Eris A a a a + 0 z+ z + z qp pqr ts st a + + a + + + R R R RR + ivin R RR Eris B a ( + ) ( + ) ( ) + 9 ( )( + ) + ( + )( ) + 9 ( )( + ) + ( )( ) + ( + )( + ) + i ( + )( ) ( ) ( )( + ) + ( )( + ) + 9 ( + )( )( ) a a R + R a Tim upstram 00 Tim ownstram Total tim + 00( ) Eris C a z + 0 a i 0 ( ) Eris D a 9 a ( + ) ( + ) + + ( + )( + ) + a + a Ativit p. + ( ) + 9 a T ra iniss at t min. T ratst rat o an is in AB an EF. T maimum alration o t ik is a 0. ms. Tru, aus t asolut valu o t raint is t sam. A raint o zro rprsnts a onstant vloit ( + ) 0 a o C o C. twn :00 an :00. Btwn :00 an 00:00 Captr Eris A a m AB m CD m EF m GH m JK m MN m PQ m RS i m TU a m AB 0 T lin is paralll to t -ais. T lin is orizontal, aus t vrtial an is zro. a T raint is unin. T lin is paralll to t -ais. T lin is vrtial aus t orizontal an is zro. a m TU m VW m a GH Eris B a m PQ m RS PQ an RS ar paralll aus t av qual raints. m TU an m VW m PQ an m RS, so PQ RS; m PS an m QR, so PS QR. Eris C a m 0. m 00. m. m. 00 m. 0 m 000. a θ. θ. θ 0 θ 9 θ. θ 0 θ. θ. a θ. 0 m θ. 0 Ativit p. Stunt s own answrs Eris D a m m m m m m m m m m CD 0, m CE 0 9 D (, ) E (, 0) 9 O 9 C (, ) m CE, m DE C (, ) D (, ) RS, RQ an PS so all sis ar qual in lnt. P (, ) Q (, ) 0 9 O Captr 9 Eris 9A a i. m ii. 0m i. m ii. 0m i. m ii. m i. m ii. m i. m ii 0. m i 0. m ii. m R (0, ) 9 0 S (, ) O 9 0 E (, ) a. m 9. m a. mm 90. mm m PQ, m RS so PQ RS ; m PS, m RQ so PS RQ. mpq mps an mrq mrs so PQ PS an RQ RS. PQ, a i 9. m ii. m i. m ii. m. m a. m 0 m 9. m Eris 9B a i π m ii π m i π m ii π m i 0πm ii πm a i πm ii 0 π m i 0π m ii 0π m i 9π m ii π m a m 0 m 0. m 0π m Eris 9C a 9 a 0π m a 0 m 0 Ativit p. Stunt s own rsar an postr. Captr 0 Eris 0A a V. m V. m V. m V. 9 0 m V. 0 m V. m V 9m r m. a T oriinal all as volum V i 0. m, a small all as volum V small. m. T numr o smallr sprs tat an ma is V i V. 99; sprs small 0 smallr sprs smallr sprs. a Si sprs an it in t o V watr. m a T volum o risn watr quals t volum o t spr, so m.. m. a r m. r. m V. m Ativit p. 9 Stunt s own answrs Eris 0B a V m V m 9. m . m 0m. a V. 0m V 0. m Eris 0C a V. 0m V 0. 9m V. m V 0. m 9m. m. V 9. 0m V. m Eris 0D V m V 9. mm V 9. 9m V 9. 9m V. mm l tot + 0 mm a V m V m Ativit p. Stunt s own answrs Captr Eris A a a a a a Eris B a 0. i 00 j k 00 l 0 m 0 n 0 o 0 p 0 a i. j 00 k 0. l 0.00 a i. ii iii.9 i. ii 0 iii.9 i i an ii Eris C ai. i. aii ii 0 aiii.9 iii.9 Ativit p. For aition an sutration, answrs soul roun to t last numr o imal plas o an numr in t qustion. For multipliation an ivision, t numr o siniiant iurs in t answr soul qual t last numr o siniiant iurs o an numr in t qustion
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