Tangent Lines and Rates of Change

Tangent Lines and Rates of Change - 3.1 MNGENT LINES...

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Unformatted text preview: 3.1 MNGENT LINES fin») RRTES 6F CHBIUGE -—-_-——--_— HERE‘Q 19 FflCT F9017 PHyspcs : fl 86L). IS mfi’owm VERTICI'MLy UPWfiRD F000 THE 4‘)?onsz 197' mu 1N! 71m. VELOCITY 0F 66’ FT/ SEC. THEN 15 35c: LIME]? (TS HEIGHT s w FEETI'S swam B)’ nu--- TInEj; sue) : - létl+éilf 95’0va 77175 0 2. 15.6.) 51!) : 445., +444 = 9&9 Sta) -quwvuz = 6‘] gm = 44.35493 = 48 gm) :- —[(,.'{1+0‘l=‘l = 0 cm» 0F 3%) r 3w) = (M 5m 1’18 NOTE : AVEIMGE VELoCITy 0F TII‘E Bin). OVER THE TIDE HWEWBL F300 15:! 7'0 x: = -2 IS msmmcs WflUELED : S (a ) — 3 (I) 0‘] — #3 ‘ LENGTH 0F TIflE mmwm q - , ‘ i = ’6» F 7/ 51:5 wmc” (g mso 7712 52.0% 0F WE STRI'MGHT LINE Jowwe TUE POINTS (1345’) mm (4,414 ) 0n) 77772" GIMP” 0? Sit), swan/my, mi way/ma VELaCITy m: 'an 3m). saws/am taz m» 1% =3 '3 - i4- FT/SEQ mm '77sz IS 7712 SLOPE 0F ms LINE JOINING (£2,121!) 8ND £3,115”), NEXT, LET‘S COI7PUTE 777E flUERfiGE VELoca'Ly 0F 'flrE BflLL avg/2 SW15 TIDE mm?an PAW) 16:! TD .15: HA. 5 f “ 3mm. 5‘0th Su) :an g - ,. ,5 I Hi, gawk-$0) _ ~Ibcl+h)z+6'IUH;) - '18 h ‘ h b ,y z 2 .. twain-14,!) HA +49% J/g “M h .- ale/fwd, ‘ M 1 ‘/(o/7 +341 ’1 : swam: 0;: ‘WE LINE JoWiNG 77722 Pom”: Ch 34”) mm (1+l;,sLt+A))0N “if GIMP» 0F 5w), IF [7 IS VEis’y 31mm.) TfrE 80L). 1mg VERY LITTLE TII7E T0 5L0“) Dow/v a]? SPEED UP mm THIS lava/awe VELOCITY IS wsley cums T0 T712 BflLL'S VELacliy I! " AT ,6 z I L " 31313500175752 19/500,105" J " msmmm/Eow VELocrry " ) H3 I? "2 0 WE WEB/ME VELOCI7y flPPIMoC/y'55 THE INSWNWV’WUK VELOCITY M" t: l INS'mmeEaUS; VELocny M t = I scum ~3cr) h : ’1” h—yo .; luv (-lél74'323 h—>0 =31 : S‘LCWE 05‘ "WE WGENT LINE (1) 5(1)) Now CUE Lama, 00 PM: W WWW/way Fumcvwm pcx’) Lamar «IE JUST 010 F0)? TUE Posmon) Fumme a»: 7m; 13%).. Y /: pcx) (XI J ) ) TfiNGENT LHVE 07' (x01 pcxos) Mamas mm 3;: CIMMBE 9f pix) 0151.? ["2 W “(0.16.3 guns-9%) X,- X0 .- ': SwPE _0_F SEC/919T _an£ TIIIPooGii cxofixa) ) mvo INS'mm'mNE’003 IMTE gf @174)er 0F Pm) fir X0 : [m ch.)«ch,,) xfixo Y‘r-XG (pgoviDED Tlii Lin/[1511575) = SLOPE gt: 'MNGENT LINE 0T c.on Paco) ) 6‘. 301712771755“ 17' :5 mm: CQNUEIWEMT m USE WE FDLLowuuG mmmm mewm : ‘/ Pp“) INSTBN'mNEaus: WWIE a}: CWNGE 0F pm) W X0 cho+h ) - cho) ': [in h b-m c PROWDED 7m: Lmrr EXISTS ) : 3L1:sz 0F ‘WNCENT LINE 07‘ onl pcxo) ) EX BHPLES .’ 3 . 5‘ FIND ’flffi WEWGE {M772 0F CWNGE 0F Pm) : X + I away 7712: iNTEflV’flL [1);] [>539] = [52;] Fix, ) 130(0) (X311); ij-H ) ‘2 M ‘0 xl-xo (43+n)-U3+a) Ji~l ,7 ’0 4- FIND ma wsmmmyuwus' farm: oFCHflNGE 0F Pox) 2 x3” ML x .: i r o ' FCXOH, )wpcxp) H6441)“ pm) in? r lm hr-éo ‘7 “'70 h x H [m (L|+'h)3+i)~(l3+1) Hfiu ‘1 _ I” ((+317+3512+h3 +p)-.2 11-50 h h c“ +3!) ‘F l) ‘ z I"? ’7 ‘2 In? (313’) a" 3 5%» hep 3, FIND THE InvsmvawUs 987E051 CifWEaF PM) -: X31?! I97~ X0 . h n pug“) )- pcxo) 5+0 k 3 h-vo L, . 3 .L 3 3 _ [w x6 +3xfh+3xoh H; H ~xo *} baa h z [m hcsxfwxoh +/,‘) h-w l7 - lm L3xf+3xab Hf) WW) 2. = 3X ...
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Tangent Lines and Rates of Change - 3.1 MNGENT LINES...

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