Page 149 - الرياضيات المتقدمة كتاب الطالب الصف 12 الفصل 2

{Oz Gb Py3s b Æ kf b .&sb b Gb ^ Æ{j b {6 1.b d?Wb ç 2;N {j b X?cb f.[ gb Ÿ zB y2b

w0 yNfa zNy Fa Ox2r a ¤d “Ò’ –“Ê ’ `=Ø98/ ± ` ^ d E993: ± E72;: ± E C ÐA a=9 Ò

šI£¡¡œ = šIšœœ¢ - ›
¤G= –^0 : ± dg±b/4 ± R=5 :9 d4= 2 ± Z ¼b ±
šI£¡¡œ § “Ãœ — Ò ½’ § “Ãœ • Ò ½’ Э H ;
œ
› § “ Ò ` C ±Ò –› § “Ã’ Ô»C=4: ± ˱R „±Ò –š § “Ò’ d C ± X b ±
˜standard normal distribution Ô»C=4: ± d4= 2 ± Z ¼b C c: Ù
œ W:^ 5
˜“¼’ S R C Z ¼b ± ±Q d dg±b/4 ± R=5 :9 S RÙ Ò
E ´C4 ¼b Ô»C=4: ± ˱R „±Ò –` C ±Ò –d C ± X b ± d Š± ÎÒP ± `:1

½ "y i ¤“¶’ –“²’ –“­’ d Ò –E90 E=g±b/ ´±R=5
–š § “Ò’ d C ± X b ± Ðb8 “¼’ ^0 dg±b/ R=5 : Ô»C=4: ± d4= 2 ± Z ¼b ± d “¶’ “²’ “­’

œ
› § “ Ò ` C ±Ò
›œ ¡œ žš “Ò’ d C ± X b ±
œ
›œ› ›žž ž “ Ò ` C ±
¤“¼’ Ô»C=4: ± d4= 2 ± R=5 :9 d C= ± ^= : ±
›› ›œ ¢ “Ã’ Ô»C=4: ± ˱R „±

(ز) د = ص ¤HgC ; ± F C8 –Z ¼b ^ ` E=g±b/ ´±P C/ ´Q ­ Ù
ž¢ c ¯ œ ` ³R 6 ± d Z7 ³P C/ ››œš ^j­ ` ¡¢¡œ ¤“­’ y

¢ž c ¯ š ` ³R 6 ± d Z7 ³P C/ ›œœŸš ^j­ ` ¢ œ ¤“²’ y

›ž c ¯ ››œ ` ³R 6 ± d Z7 ³P C/ ›š£šš ^j­ ` ¡ š ¤“¶’ y
ÎÑÖ ٣- ٢- ١- ٠ ١٢٣ ÎÑÕ
` P ±Ò Ô»C=4 ˱R ± `:h ´±P C/: ± Z7 Ñ ­ ´±R 6 ± ` ³R ^ c9
¤d “ÎC: „± E C E ±¹’ Ô»C=4: ± d4= 2 ± Z ¼b ± c; ; E ¹C4 ˜“à • Ғ – “à — Ғ `= Ô­ –d C ± X b ±
œ ½ ›
-
œI¡›¢œ¢ Ê Euler’ number R9 Ò­ ¹P G= – œ Ê § “½’ ¹ “›ž E 60 ± E C< d ’ œ-¢ ½»P ± ±Q d d C ± d C= ± ^= : ± ÏP ± “›
œ
–“à • Ғ `= _=7 ± D C; ¹C ˆ –“›ž¡ E 60 ± E ±P d ’ a=9 ÔQ ± ÎÒP ±Ò
¤Ô»C=4: ± d4= 2 ± Z ¼b ± c; ; VgC0 ˜“¶’ –“²’ –“­’ ´C4 ¼b ± ` ^8 “à — Ғ

š § Ò b “¼’ R=5 :9 d C ± X b ± y ©CÕ=4= CÕ4 ¼b ´±R=5 : ± ÑQ ` Ô­ ^ : Э `8:: ± ` ^ “œ
Z=: d ÎC ± d C: d C ± X b C R: d ­» _=7 b ^ C: ± »b y ˜CÕ=4= CÕ4 ¼b Ðb8= C Õ = R R M± R=5 : C ±Õ«P E R ´±R=5 : ± ËR ­ D ±

˜E=4= 2 ± ´C4 ¼b ± –· E4 b : ± _=7 ± D ± –CÕ=4= CÕ4 ¼b ^Û := C Õ = R R M± dg±b/4 ± R=5 :9 “

œ
› § à b Ô»C=4: ± a ±R ±Ò –› § à b “¼’ ` C y ¤E= Š± ´±»C 4 ± d E P : ± Í –Ë –Á
Ò­ X b ± “` R5j­’ »C  –œ –› Ô»C=4: ± ˱R „± _= ^ : ± –œ± –›± § ¼ y £ c ¯ ž¢ ` ³R 6 ± d Z7 ³P C/ Ÿššš ` ³P C/ · ­

˜X b ± “` R ­’ `=: ›š¢ c ¯  ` ³R 6 ± d Z7 ³P C/ Á ` ³P C/ ››Ÿ¢ ²

¶
˜d C ± X b ± “` R5j­’ »C E:= ^Û : š ¼ E:= Û Ô­ y £ c ¯ ¢ž ` ³R 6 ± d Z7 C<4=: ´±P C/: ± `  Ë
˜d C ± X b ± “` R ­’ `=: E:= ^Û : š ¼ E:= Û Ô­ y ¢ž c ¯ ž¢ ` ³R 6 ± d Z7 ³P C/ £ ¢š ` ³P C/ Í ¹

Ô­ –R60 ± ` ±ÕP E R “¼’ ¹ E:= Ðb8 IŸ— ¼ –IŸ ¼ Ðb8 C P; y

š “IŸ— ¼’ § “IŸ ¼’

› ÔÒC “¼’ ¹ § ¿ c; ; F E C : ± y

11-038 MOE book 33.indd 148 25/12/2023 4:36 PM