Termo 1gq4w
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c c ! " ! # $ " %&'()"' & () ë
ܲ ൌ ͳͲሾܾܽݎሿܲ௦ ൌ ʹሾܾܽݎሿ ܶ ൌ ͷͲሾ‰ܿ ሿܣ௦ ൌ ͳͲͲͲሾܿ݉ଶ ሿ ൌ Ͳǡͳሾ݉ଶ ሿ ݉ ܸ ൌ ͺͲ ቂ ቃ ݏ ݉ሶ ൌ ͳͲͲͲ ቂ ቃ ൌ ͳǡ ቂ ቃ
ܲ ܶ ݒ ൌ ͲǡͲʹͳʹ ቂ
య
ቃ
௦
ܲ௦ ǡ ݒ௦ ൌ Ͳǡͺͺͷ ቂ
య
ቃ
݉ሶ ൌ
ܣ ܸ כ ݒ
݉ሶ ൌ
ܣ௦ ܸ כ௦ ݒ௦
݉ ܣ כͺͲ ቂ ቃ ݇݃ ܣ ֜ ݏൌ Ͷǡͷ͵ ିͲͳ כଷ ሾ݉ଶ ሿ ൌ Ͷͷǡ͵ሾܿ݉ଶ ሿ ͳǡ ൨ൌ ݉ଷ ݃݁ݏ ͲǡͲʹͳʹ ൨ ݇݃
݉ Ͳǡͳሾ݉ଶ ሿ ܸ כ௦ ݇݃ ൨ൌ ֜ ܸ௦ ൌ ͳͶǡͷ ቂ ቃ ͳǡ ଷ ݉ ݏ ݃݁ݏ Ͳǡͺͺͷ ൨ ݇݃
c * c & " & " &c +'()$ " %,&() ë
ܲ ൌ Ͳሾܾܽݎሿܲ௦ ൌ Ͳǡሾܾܽݎሿ ܶ ൌ ͷͲͲሾ‰ ܥሿ݀௦ ൌ Ͷǡͷሾ݉ሿ ݉ ܸ ൌ ͳͲͲ ቂ ቃ ݏ ሾ ݀ ൌ Ͳǡ ݉ሿ ܲ ܶ ݒ ൌ ͲǡͲͷͷ ቂ
య
ቃ
ܲ௦ ǡ ݒ௦ ൌ ʹǡ͵ʹ ቂ
య
ቃ
݉ ߨ ଶ ଶ ܣ௦ ܸ כ௦ Ͷ כሺͲǡሻ ሾ݉ ሿ ͲͲͳ כቂ ݏቃ ݇݃ ݇݃ ݉ሶ ൌ ൌ ൌ Ͷͻͻǡͳ ൨ ൌ ͳǤͻǤͲ ൨ ଷ ݉ ݒ௦ ݏ ݄ ͲǡͲͷͷ ൨ ݇݃ ߨ כሺͶǡͷሻଶ ሾ݉ଶ ሿ ܸ כ ݇݃ Ͷ Ͷͻͻǡͳ ൨ ൌ ݉ଷ ݄ ʹǡ͵ʹ ൨ ݇݃ ݉ ֜ ܸ ൌ ͺͷǡ͵ ቂ ቃ ݏ
c &-
.' ! / & ! 0 !1 c & /&2! +'() / &() % ë
݉ ܸ ൌ ʹͲ ቂ ቃܲ௦ ൌ ͳǡͺሾܾܽݎሿ ݏ ݉ ܶ ൌ ʹሾ‰ ܥሿܸ௦ ൌ ͷͲ ቂ ቃ ݏ ܣ ൌ ͲǡͲͲͺሾ݉ଶ ሿܣ௦ ൌ ͲǡͲͲ͵ሾ݉ଶ ሿ
݉ሶ ൌ ͳͺ ቂ
ቃ ൌ Ͳǡ͵ ቂ ቃ ௦
ëë ܲ ܣ כ ܸ כ ൌ
݉ሶ ܶ כ ܴ כ ܲܯ
݃ܭ Ͳǡ͵ ቂ ݏቃ ݉ ܾܽ݉ כ ݎଷ ଶ ͲͲ͵ כሾιܭሿ ܲ Ͳ כǡͲͲͺሾ݉ ሿ Ͳʹ כቂ ቃ ൌ Ͳ כǡͲͺ͵ͳͶ ቈ ݇݃ ݏ ܭ‰ כ ݈݉݃ܭ ͵ʹ ݈݉݃ܭ൨ ֜ ܲ ൌ ͳǡͶሾܾܽݎሿ
ëë ܲ௦ ܣ כ௦ ܸ כ௦ ൌ
ͳǡͺሾܾܽݎሿ Ͳ כǡͲͲ͵ሾ݉
ଶሿ
݉ሶ ܶ כ ܴ כ௦ ܲܯ
݃ܭ Ͳǡ͵ ቂ ݏቃ ݉ ܾܽ݉ כ ݎଷ ܶ כ௦ כͷͲ ቂ ቃ ൌ Ͳ כǡͲͺ͵ͳͶ ቈ ݇݃ ݏ ݈݉݃ܭ כ ‰ܭ ͵ʹ ݈݉݃ܭ൨ ֜ ܶ௦ ൌ ͵ͶǡͶሾιܭሿ
c * & 3& 1c / & ! ! 435 " / &! 6()$ " &() ë
ܲ ൌ ͳͲͲሾܽ݅ݏሿܲ௦ ൌ ͺͲሾܽ݅ݏሿ ܶ ൌ ͺͲሾ‰ ܨሿ ൌ ͷͶͲሾ‰ܴሿܶ௦ ൌ ͳʹͲሾ‰ܨሿ ൌ ͷͺͲሾ‰ܴሿ ܣ ൌ ሾ݅݊ଶ ሿ ൌ ͲǡͲͶʹሾ݂ ݐଶ ሿܣ௦ ൌ Ͷሾ݅݊ଶ ሿ ൌ ͲǡͲʹͺሾ݂ ݐଶ ሿÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊ
ܸ ൌ ͳͷ ቂ
௧
௦
ቃÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊ
ëë ܲ ܣ כ ܸ כ ൌ
ͳͲͲሾܽ݅ݏሿ Ͳ כǡͲͶʹሾ݂ ݐଶ ሿ ͳ כͷ
݉ሶ ܶ כ ܴ כ ܲܯ
݂ݐ ݐ݂ כ ܽ݅ݏଷ ݉ሶ כͷͶͲሾ‰ܴሿ ൨ൌ Ͳͳ כǡ͵ ቈ ݈ܾ݉ ݃݁ݏ ݈ܾ݈݉ כ ‰ܴ ቃ ʹͺǡͻ ቂ ݈ܾ݈݉ ֜ ݉ሶ ൌ ͵ǡ
ëë ܲ௦ ܣ כ௦ ܸ כ௦ ൌ
݈ܾ݉ ൨ ݃݁ݏ
݉ሶ ܶ כ ܴ כ௦ ܲܯ
݈ܾ݉ ൨ ݐ݂ כ ܽ݅ݏଷ ݃݁ݏ ଶ כͷͺͲሾ‰ܴሿ Ͳͳ כǡ͵ ቈ ͺͲሾܽ݅ݏሿ Ͳ כǡͲʹͺሾ݂ ݐሿ ܸ כ௦ ൌ ݈ܾ݉ ݈ܾܴ݉‰ כ ݈ ቃ ʹͺǡͻ ቂ ݈ܾ݈݉ ͵ǡ
݂ݐ ൨ ֜ ܸ௦ ൌ ͵ͷͳǡͻ ݃݁ݏ
c !1 7 $ & 2 &* ! " " 1 +' () $ " %& () &() & ሶൌ Ͳǡͳ ቂ ቃ ൌ ͲǡͲͲͳ ቂ௦ቃ య
య
ெ
௧
ݒכ
௨
ൌ
௧௩
֜
ൌ
௧
ǡଽ
య ଵǡଵ଼כଵషయ ൨ ಼
ൌ ͺͻͺǡ͵ͺ ቂ
య
ቃ
ë
ܶ ൌ ʹͲሾ‰ ܥሿܶ ൌ ܶ௦ ൌ ʹͲሾ‰ܥሿ ՜ ൌ ௦ ݀ ൌ ͳͲሾܿ݉ሿ݀௦ ൌ ሾܿ݉ሿ ݉ሶ ൌ ሶ כ
௧
݉ሶ ൌ ܣ ܸ כ כ
݉ሶ ൌ ܣ௦ ܸ כ௦ כ
ൌ ͲǡͲͲͳ ቂ ௧
௧
య
௦
ቃ כͺͻͺǡ͵ͺ ቂ
֜ ͳǡͷ͵ ቂ
௦
֜ ͳǡͷ͵ ቂ
య
ቃ ൌ ͳǡͷ͵ ቂ
ቃ
ቃ ൌ כሺͲǡͳଶ ሻሾ݉ଶ ሿ ܸ כ כͺͻͺǡ͵ͺ ቂ ସ గ
֜ ܸ ൌ Ͳǡʹʹ
௦
௦
݉ ൨ ݃݁ݏ
య
ቃ ൌ כሺͲǡͲଶ ሻሾ݉ଶ ሿ ܸ כ௦ כͺͻͺǡ͵ͺ ቂ గ ସ
֜ ܸ௦ ൌ ͲǡͶͶ
݉ ൨ ݃݁ݏ
ቃ
య
ቃ
c 2 22!c c2c $ " %, + $ " & 6 () '%8%&() & ()" ' ë
ܲ ൌ ͵Ͳሾܾܽݎሿܲ௦ ൌ Ͷͺሾܾܽݎሿ ܶ ൌ ͵ʹͲሾԨሿܶ௦ ൌǫ
ܸ ൌ Ͳܸ௦ ൌ ͷ͵ͷ ቂ ݉ሶ ൌ ͺǤͲͲͲ
݃ܭ ݃ܭ ൨ ൌ ʹǡʹʹ ൨ ݄ ݃݁ݏ
ܲ ܶ ݄ ൌ ͵ǤͲͶ͵ǡͶ ቂ ቃ
ܳ െ ܹ ൌ ο݄ ο ܿܧ ο݃ܧ
՜ ο݄ ο ܿܧൌ Ͳ
ͳ ሺͷ͵ͷଶ െ Ͳሻ ܬܭ ܬܭ ൨ ൌ Ͳ ൬݄௦ െ ͵ǤͲͶ͵ǡͶ ൨൰ ʹ ͳǤͲͲͲ ݃ܭ ݃ܭ ܬܭ ֜ ݄௦ ൌ ʹǤͻͲͲǡ͵ ൨ ݃ܭ
ܲ௦ ݄௦ ܶ௦ ൌ ʹͶͲǡͶሾԨሿ
ݒ௦ ൌ ͲǡͳͶͺͶ ቂ
య
ቃ
݉ሶ ൌ
ܣ௦ ܸ כ௦ ݒ௦
݉ ܣ௦ כͷ͵ͷ ቂ ቃ ݇݃ ܣ ֜ ݏൌ ǡͳ ିͲͳ כସ ሾ݉ଶ ሿ ൌ ǡͳሾܿ݉ଶ ሿ ʹǡʹʹ ൨ൌ ௦ ݉ଷ ݃݁ݏ ͲǡͳͶͺͶ ൨ ݇݃
௦
ቃÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊ
c 2* 3 ! &1c $ " , + $ " & 6 () ' 9& () 3,,&()"
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͶͲͲሾܽ݅ݏሿܲ௦ ൌ ʹͲͲሾܽ݅ݏሿ
ܶ ൌ ͲͲሾԬሿܸ௦ ൌ ͳǡͶͷ
ܸ ൌ Ͳ ݉ሶ ൌ ͳͺǤͲͲͲ
ܲ ܶ ݄ ൌ ͳǤ͵Ͳǡ ቂ
݈ܾ݉ ݈ܾ݉ ൨ ൌ ͷ ൨ ݄ݎ ݃݁ݏ
௧௨
ቃ
ܳ െ ܹ ൌ ο݄ ο ܿܧ ο݃ܧ
ݑݐܤ ͳ ݂ ݐଶ כ ֜ ൬݄௦ െ ͳǤ͵Ͳǡ ൨൰ ͳ כǡͶͷଶ ቈ ݈ܾ݉ ʹ ݃݁ݏଶ
ሾݑݐܤሿ ൌ Ͳ ݈ܾ݉ ݐ݂ כଶ ʹͷǤͲ͵ǡͷ ൨ ݃݁ݏଶ
ݑݐܤ ൨ ֜ ݄௦ ൌ ͳǤ͵Ͳǡ ݈ܾ݉
ܲ௦ ݄௦ ܶ௦ ൌ ͷͻͳǡ͵ሾԬሿݒ௦ ൌ ͵ǡͲʹͻ ቂ
௧ య
ቃ
݂ݐ ܣ௦ ͳ כǡͶͷ ݃݁ݏ൨ ݈ܾ݉ ܣ௦ ܸ כ௦ ֜ ͷ ൨ൌ ݉ሶ ൌ ݂ ݐଷ ݃݁ݏ ݒ௦ ൨ ͵ǡͲʹͻ ݈ܾ݉ ֜ ܣ௦ ൌ ͳͲǡʹሾ݂ ݐଶ ሿ
݂ݐ ൨ ݃݁ݏ
c c " 2: & ! " & ! !& c +' () $ " %& () ' %8%& () &()"'
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͳǡͺሾܾܽݎሿܲ௦ ൌ ʹሾܾܽݎሿ
ܶ ൌ ʹͲሾԨሿܸ௦ ൌ ͷͲ
ܸ ൌ ͳͶͲ
݉ ൨ ݃݁ݏ
݉ ൨ ݃݁ݏ
ܣ ൌ ͳͲͲሾܿ݉ଶ ሿ ൌ ͲǡͲͲͳሾ݉ଶ ሿ ܲ ܶ ݒ ൌ Ͳǡͳʹʹ͵ ቂ
ቃ݄ ൌ ʹͺǡʹ͵ ቂ ቃ
య
݉ ൨ ͲǡͲͲͳሾ݉ଶ ሿ ͳ כͶͲ ܣ ܸ כ ݃ܭ ݃݁ݏ ݉ሶ ൌ ൌ ൌ ͳǡͳ ൨ ଷ ݉ ݒ ݃݁ݏ Ͳǡͳʹʹ͵ ൨ ݇݃
ܳ െ ܹ ൌ ο݄ ο ܿܧ ο݃ܧ
ܬܭ ͳ ሺͷͲଶ െ ͳͶͲଶ ሻ ܬܭ ֜ ൬݄௦ െ ʹͺǡʹ͵ ൨൰ כ ൨ ൌ Ͳ ݃ܭ ʹ ͳǤͲͲͲ ݃ܭ ܬܭ ֜ ݄௦ ൌ ʹǡͺ ൨ ݃ܭ
ܲ௦ ܶ௦ ܶ௦ ൌ ͵ͲሾԨሿݒ௦ ൌ Ͳǡͳͳͺͷ ቂ
య
ቃ
݉ ൨ ܣ௦ כͷͲ ܣ௦ ܸ כ௦ ݃ܭ ݃݁ݏ ݉ሶ ൌ ֜ ͳǡͳ ൨ൌ ݉ଷ ݒ௦ ݃݁ݏ Ͳǡͳͳͺͷ ൨ ݇݃ ֜ ܣ௦ ൌ ͲǡͲͲʹሾ݉ଶ ሿ ൌ ʹሾܿ݉ଶ ሿ
c c! / c1&;c2 / &c! ! 0 "&*2! 6() % & () $ " %& () / ݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͷሾܾ݉ܽݎሿܸ௦ ൌ ͳͺ
݉ ൨ ݃݁ݏ
ܶ ൌ െͷ͵ሾԨሿ ൌ ʹʹͲሾιܭሿܣ௦ ൌ Ͳǡͻ͵ሾ݉ଶ ሿ
ܸ ൌ ͺͺͲ
݉ ൨ ݃݁ݏ
ܣ ൌ Ͳǡͷʹሾ݉ଶ ሿ
ܶ ݄ ൌ ʹͳͻǡͻ ቂ ቃ
ܳ െ ܹ ൌ ο݄ ο ܿܧ ο݃ܧ
ܬܭ ͳ ሺͳͺଶ െ ͺͺͲଶ ሻ ܬܭ ֜ ൬݄௦ െ ʹͳͻǡͻ ൨൰ כ ൨ ൌ Ͳ ݃ܭ ʹ ͳǤͲͲͲ ݃ܭ
݄௦ ܶ௦ ൌ ͲͲሾιܭሿ
ܬܭ ֜ ݄௦ ൌ ͲǡͲͳ ൨ ݃ܭ
ëë ܲ ܣ כ ܸ כ ൌ ֜ ͲǡͲͷሾܾܽݎሿ Ͳ כǡͷʹሾ݉ଶ ሿ כͺͺͲ ቂ
௦
ቃൌ
ሶ
ெ
ܶ כ ܴ כ ሶ
಼ ቃ ଶ଼ǡଽቂ ಼
֜ ݉ሶ ൌ Ͷͳǡ͵ͳ
Ͳ כǡͲͺ͵ͳͶ ቂ
݃ܭ ൨ ݃݁ݏ
כ య
כι
ቃ Ͳʹʹ כሾιܭሿ
ëë ܲ௦ ܣ כ௦ ܸ כ௦ ൌ ֜ ܲ௦ Ͳ כǡͻ͵ሾ݉
ଶሿ
ͳ כͺ ቂ
௦
ቃൌ
ሶ
ெ
ܶ כ ܴ כ௦
಼ ቃ ೞ ಼ ଶ଼ǡଽቂ ቃ ಼
ସଵǡଷଵቂ
Ͳ כǡͲͺ͵ͳͶ ቂ
֜ ܲ௦ ൌ Ͷǡʹͷሾܾܽݎሿ
כ య
כι
ቃ כͲͲሾιܭሿ
c c & 1 % ! 0 & c % !! # c %8% " &* ! +' () / ' %8%& () - & () / " ݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ሾܾܽݎሿܲ௦ ൌ ͳሾܾܽݎሿ
ܶ ൌ ͶͲሾιܭሿܶ௦ ൌ ͶͷͲሾιܭሿ
ܸ ൌ ͳʹͲ
݉ ݉ ൨ܸ௦ ൌ ʹʹͲ ൨ ݃݁ݏ ݃݁ݏ
ܣ ൌ Ͷǡͻͳሾܿ݉ଶ ሿ ൌ Ͷǡͻͳ ିͲͳ כସ ሾ݉ଶ ሿ
ܶ ݄ ൌ ͷǡͶͶ ቂ ቃ
ൌ െͳͷ
ܬܭ ൨ ݃ܭ
ܶ௦ ݄௦ ൌ Ͷͷͳǡͺ ቂ ቃ
ο ܿܧൌ כ ଵ ଶ
ቂ ቃ ൌ ͳ ቂ ቃ
൫ଶଶమ ିଵଶమ ൯ ଵǤ
ëë ܲ ܣ כ ܸ כ ൌ ֜ ሾܾܽݎሿ כͶǡͻͳ ିͲͳ כସ ሾ݉ଶ ሿ Ͳʹͳ כቂ
௦
ሶ
ெ
ቃൌ
ܶ כ ܴ כ
಼ ଶ଼ǡଽቂ ቃ ಼
֜ ݉ሶ ൌ Ͳǡͳ
֜ െͳͷ
ሶ
݃ܭ ൨ ݃݁ݏ
Ͳ כǡͲͺ͵ͳͶ ቂ
ܳሶ െ ܹሶ ൌ ݉ሶሺο݄ ο ܿܧ ο݃ܧሻ
כ య
כι
ቃ כͶͲሾιܭሿ
ܬܭ ݃ܭ ݃ܭ ܬܭ ܬܭ ܬܭ ൨ Ͳ כǡͳ ൨ െ ܹሶ ൌ Ͳǡͳ ൨ ൜൬Ͷͷͳǡͺ ൨ െ ͷǡͶͶ ൨൰ ͳ ൨ൠ ݃ܭ ݃݁ݏ ݃݁ݏ ݃ܭ ݃ܭ ݃ܭ ֜ ܹሶ ൌ Ͷǡͺሾ ܹܭሿ
ëë ܲ௦ ܣ כ௦ ܸ כ௦ ൌ ֜ ͳሾܾܽݎሿ ܣ כ௦ Ͳʹʹ כቂ
௦
ቃൌ
ሶ
ெ
ܶ כ ܴ כ௦
಼ ቃ ೞ ಼ ଶ଼ǡଽቂ ቃ ಼
ǡଵቂ
Ͳ כǡͲͺ͵ͳͶ ቂ
כ య
כι
֜ ܣ௦ ൌ ͻǡͻͺ ିͲͳ כସ ሾ݉ଶ ሿ ൌ ͻǡͻͺሾܿ݉ଶ ሿ
ʹ כͶǡͻͳሾܿ݉ଶ ሿ ʹ ܣ כ ൌඨ ൌ ͳǡͺሾܿ݉ሿ ՜ ݀ ൌ ඨ ߨ ߨ ʹ ܣ כ௦ ʹ ͻ כǡͻͺሾܿ݉ଶ ሿ ඨ ඨ ՜ ݀௦ ൌ ൌ ൌ ʹǡͷʹሾܿ݉ሿ ߨ ߨ ֜
݀ ͳǡͺሾܿ݉ሿ ൌ ൌ Ͳǡ ݀௦ ʹǡͷʹሾܿ݉ሿ
ቃ כͶͷͲሾιܭሿ
c 2 & * &! & * 0 %<"&c! 6$ %8
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͺͲሾܾܽݎሿܲ௦ ൌ ͳሾܾܽݎሿ
ܶ ൌ ͶͶͲሾԨሿ ݔൌ Ͳǡͻ
ܸ ൌ Ͷͻ
݉ ݉ ൨ܸ௦ ൌ ͺͲ ൨ ݃݁ݏ ݃݁ݏ
ܣ ൌ ͲǡͲͳͷሾ݉ଶ ሿ
ܹሶ ൌ ͳͺǤͲͲͲሾ ܹܭሿ
ܲ ܶ ݄ ൌ ͵ǤʹͶǡͳ ቂ ቃ
ܣ ܸ כ ݃ܭ ݉ଷ ൌ ʹͳǡ ൨ ݒ ൌ ͲǡͲ͵Ͷʹ ቈ ֜ ݉ሶ ൌ ݒ ݃݁ݏ ݇݃
ܲ௦ ݄ ݔ௦ ൌ ʹǤ͵͵ǡͺ ቂ ቃ
ܳሶ െ ܹሶ ൌ ݉ሶሺο݄ ο ܿܧ ο݃ܧሻ
֜ ܳሶ െ ͳͺǤͲͲͲሾܹܭሿ ൌ ʹͳǡ ቂ
௦
ቃ ቊቀʹǤ͵͵ǡͺ ቂ
֜ ܳሶ ൌ െͻ
ቃ െ ͵ǤʹͶǡͳ ቂ
ቃቁ כ ͳ ʹ
Ͳሾ݃݁ݏሿ ܬܭ ܬܭ ൨כ ൌ െͶǤͺʹͲ ൨ ሾ݉݅݊ሿ ݉݅݊ ݃݁ݏ
ቀͺͲʹ െͶͻʹ ቁ ܬܭ
ͳǤͲͲͲ
ቂ
݃ܭ
ቃቋ
c 1 7 2 , / " c !& $ " &* % / .$ %8 # 2&%<& '() &()
ܽ݀ܽݎݐ݊ܧሺ݀ܽݎݑݐܽݏݎܽݒሻ݈ܵܽ݅݀ܽ ܲ ൌ ͳሾܾܽݎሿܲ௦ ൌ ͺሾܾܽݎሿ
ܣ ൌ ͷሾܿ݉ଶ ሿ
ܳሶ ൌ െͳͶͲ ݉ሶ ൌ Ͳǡͻ
ܬܭ ൨ ൌ െʹǡ͵ሾ ܹܭሿ ݉݅݊
݃ܭ ݃ܭ ൨ ൌ ͲǡͲͳͷ ൨ ݉݅݊ ݃݁ݏ
ܹሶ ൌ െ͵ሾ ܹܭሿ
ܲ ݄ ൌ ʹ͵ͳǡ͵ͷ ቂ ቃ
݉ଷ ݒ ൌ Ͳǡͳͻͳ ቈ ݇݃
ܳሶ െ ܹሶ ൌ ݉ሶሺο݄ ο ܿܧ ο݃ܧሻ
֜ െʹǡ͵ሾܹܭሿ ͵ሾܹܭሿ ൌ ͲǡͲͳͷ ቂ
݃ܭ ቃכ ݃݁ݏ
֜ ݄ ݏൌ ʹͺǡͺʹ
ܲ௦ ݄௦ ܶ௦ ൌ ͶͶǡͺሾԨሿ
݉ሶ ൌ
ܬܭ ൨ ݃ܭ
ܬܭ ቃቁ ݃ܭ
݃ܭ ͷ ିͲͳ כସ ሾܿ݉ଶ ሿ ܸ כ ܣ ܸ כ ֜ ͲǡͲͳͷ ൨ൌ ݉ଷ ݃݁ݏ ݒ Ͳǡͳͻͳ ൨ ݇݃ ֜ ܸ݁ ൌ ͷǡͷ
ቀ݄ ݏെ ʹ͵ͳǡ͵ͷ ቂ
݉ ൨ ݃݁ݏ
c 1c 7 /c2c . $ 1c 9 0 " 13&*! & !3 &*! #$ 2&6() &() , ݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͳͷሾܽ݅ݏሿܲ௦ ൌ ͵ͷሾܽ݅ݏሿ
ܶ ൌ ͲሾԬሿ ൌ ͷ͵Ͳሾιሿܶ௦ ൌ ʹͺͲሾԬሿ ൌ ͶͲሾιܴሿ
ܣ ൌ Ͳǡͻሾ݂ ݐଶ ሿܣ௦ ൌ Ͳǡͻሾ݂ ݐଶ ሿ
ܳሶ ൌ െͷͲ
ݑݐܤ ݑݐܤ ൨ ൌ െͳǡͷ ൨ ݃݁ݏ ݉݅݊
݂ ݐଷ ݂ ݐଷ ൌ ͳǤ ቈ ሶ ൌ ͳͲǤͲͲͲ ቈ ݊݅ܯ ݃݁ݏ ሶ ൌ ܣ ܸ כ ֜ ܸ ൌ
య ൨ ೞ మ ǡଽሾ௧ ሿ
ଵǤ
ൌ ͳ͵ǡͷ ቂ
ëë ܲ ܣ כ ܸ כ ൌ ֜ ͳͷሾܽ݅ݏሿ Ͳ כǡͻሾ݂ ݐଶ ሿ ͳ כ͵ǡͷ ቂ
௧
௦
௧
௦ ሶ
ெ
ቃൌ
ቃ
ܶ כ ܴ כ ሶ
್ ቃ ଶ଼ǡଽቂ ್
֜ ݉ሶ ൌ ͳʹǡͶ
ëë ܲ௦ ܣ כ௦ ܸ כ௦ ൌ
ሶ
ெ
݈ܾ݉ ൨ ݃݁ݏ
ܶ כ ܴ כ௦
Ͳͳ כǡ͵ ቂ
௦ כ௧ య
כιோ
ቃ כͷ͵Ͳሾιܴሿ
݈ܾ݉ ൨ ͳʹǡͶ ݐ݂ כ ܽ݅ݏଷ ݃݁ݏ כͶͲሾιܴሿ ֜ ͵ͷሾܽ݅ݏሿ Ͳ כǡͻሾ݂ ݐଶ ሿ ܸ כ௦ ൌ Ͳͳ כǡ͵ ቈ ݈ܾ݉ ݈ܾ݉ כ ݈ιܴ ቃ ʹͺǡͻ ቂ ݈ܾ݈݉ ݂ݐ ֜ ܸ௦ ൌ ͳͳͲǡͺͷ ൨ ݃݁ݏ
ܶ ܶ௦
ݑݐܤ ൨ ݄ ൌ ͳʹǡͷʹ ݈ܾ݉ ݑݐܤ ݄௦ ൌ ͳǡʹ͵ ൨ ݈ܾ݉
ܳሶ െ ܹሶ ൌ ݉ሶሺο݄ ο ܿܧ ο݃ܧሻ
݈ܾ݉ ݑݐܤ ͳ ݂ ݐଶ ݑݐܤ ଶ ଶ ሶ ሻ ൨ െ ܹ ൌ ͳʹǡͶ ൨ ሺͷͲǡͳ ൨ ሺͳͳͲǡͺͷ െ ͳ͵ǡͷ ሻ ቈ െͳʹǡͷ ݃݁ݏ ݈ܾ݉ ʹ ݃݁ݏଶ ݃݁ݏ െͳʹǡͷ
ݑݐܤ ݑݐܤ ݑݐܤ ൨ െ ܹሶ ൌ ͶǡͲͷ ൨ െ Ͷǡͷͷ ൨ ݃݁ݏ ݃݁ݏ ݃݁ݏ
ܹሶ ൌ െͷͶ
ݑݐܤ ൨ ൌ ͻʹͷǡͳʹሾܲܪሿ݊×݅ݏ݁ݎ݉ܥ ݃݁ݏ
c ! ! ! & &c!1& . $ c 2 !11 0 / !' / +'()$ & %8& () 6 !&
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ʹͲሾܾܽݎሿܲ௦ ൌ ʹͲሾܾܽݎሿ ܶ ൌ ͶͲͲሾԨሿܶ௦ ൌ ʹͲͲሾԨሿ ܣൌ Ͷሾܿ݉ଶ ሿ ൌ Ͷ ିͲͳ כସ ሾ݉ଶ ሿ
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͳǡͷሾܾܽݎሿܲ௦ ൌ ͳǡͷሾܾܽݎሿ
ܶ ൌ ʹሾԨሿ ൌ ͵ͲͲሾιሿܶ௦ ൌ ʹሾԨሿ ൌ ͷͷͲሾιܭሿ
ሶൌ ͷͲ ቈ
݉ଷ ݉ଷ ൌ Ͳǡͺ͵ ቈ ݃݁ݏ ݊݅ܯ
ë ܶ ܶ௦ ݄ ൌ ͵ͲͲǡͳͻ ቂ ቃǢ݄௦ ൌ ͷͷͶǡͶ ቂ ቃ
ëë ͳǡͷሾܾܽݎሿ Ͳ כǡͺ͵ ቂ
య
௦
ቃൌ
ሶ
಼ ଶ଼ǡଽቂ ቃ ಼
Ͳ כǡͲͺ͵ͳͶ ቂ
֜ ݉ሶ ൌ ͳǡͶͷ
݃ܭ ൨ ݃݁ݏ
כ య
כι
ቃ ͲͲ͵ כሾιܭሿ
ܳሶ ൌ ͳǡͶͷ
ܳሶ െ ܹሶ ൌ ݉ሶሺο݄ ο ܿܧ ο݃ܧሻ
݃ܭ ܬܭ ܬܭ ܬܭ ൨ ሺͷͷͶǡͶ െ ͵ͲͲǡͳͻሻ ൨ ൌ ͵ͻǡͳ ൨ ൌ ʹʹǤͳͶ ൨ ݃݁ݏ ݃ܭ ݃݁ݏ ݉݅݊
ë ܲ ܶ ݒ ൌ Ͳǡͳͷͳʹ ቂ
య
ቃǢ݄ ൌ ͵ǤʹͶǡ ቂ ቃ
ܲ௦ ܶ௦ ݄௦ ൌ ͺͷ͵ǡͶ ቂ ቃ
݉ ିସ ଶ ܸ כ ܣ Ͷ Ͳͳ כሾ݉ ሿ ʹ כቂ ݏቃ ݃ܭ ՜ ݉ሶ ൌ ݉ሶ௦ ൌ ݉ሶ ൌ ൌ ൌ ͲǡͲͲͷ͵ ൨ ଷ ݉ ݒ ݃݁ݏ Ͳǡͳͷͳʹ ൨ ݃ܭ ֜
ܳሶ െ ܹሶ ൌ ݉ሶሺο݄ ο ܿܧ ο݃ܧሻ
݃ܭ ܬܭ ܬܭ ܳሶ ൌ ͲǡͲͲͷ͵ ൨ ሺͺͷ͵ǡͶ െ ͵ǤʹͶǡሻ ൨ ൌ െͳʹǡͺ ൨ ݃݁ݏ ݃ܭ ݃݁ݏ
ܬܭ ܳሶ௧௧ െ͵ͻǡͳ ݃݁ݏ൨ ൌ ൌ ʹͻǡͳ ֜ ͵Ͳ—„‘•Ǥ ܳሶ௧௨ െͳʹǡͺ ܬܭ൨ ݃݁ݏ
c " = 7 $ " ! %, * 0 ! 1* %, ! =" = / & &* +' () &()" ' ë ë
ܲଵ ൌ ͳͲሾܾܽݎሿܲଶ ൌ ͳͲሾܾܽݎሿܲ௦ ൌ ͳͲሾܾܽݎሿ ݉ ൨ ݔൌ Ͳǡͻܶଶ ൌ ʹͺͲሾι ܥሿݒ௦ ൌ ͺǡͻ ݃݁ݏ ܲଵ ݄ ݔଵ ൌ ʹǤͷ͵ ቂ ቃ
ܲଶ ܶଶ ݄ଶ ൌ ͵ǤͲͲͺǡʹ ቂ ቃ
! "#
݃ܭ ݉ሶଵ ݉ሶଶ ൌ ݉ሶ௦ ൌ ͶǤͻͲ ൨ ݄
! ë $
݉ሶଵ ݄ଵ ݉ሶଶ ݄ଶ ൌ ݉ሶ௦ ݄௦
ܬܭ ‰ ܬܭ ݃ܭ ‰ ʹǤͲͲͲ ൨ ʹ כǤͷ͵ ൨ ʹǤͻͲ ൨ ͵ כǤͲͲͺǡʹ ൨ ൌ ͶǤͻͲ ൨ ݄ כ௦ ݃ܭ Š ݃ܭ ݄ Š ܬܭ ݄௦ ൌ ʹǤͺʹǡͶͻ ൨ ݃ܭ
֜ ܲ௦ ݄௦ ܶ௦ ൌ ͳͻͺǡͶሾԨሿ
ݒ௦ ൌ ͲǡʹͲͷ ቂ
య
ቃ
݉ ൨ ܣ௦ כͺǡͻ ܣ௦ ܸ כ௦ ‰ ݃݁ݏ ݉ሶ௦ ൌ ֜ ͳǡ͵͵ ൨ ൌ ݉ଷ ݒ௦ •‡‰ ͲǡʹͲͷ ൨ ݃ܭ
֜ ܣ௦ ൌ ͲǡͲ͵ሾ݉ଷ ሿ ՜ ݀௦ ൌ Ͳǡͳͻͷሾ݉ሿ ൌ ͳͻǡͷሾܿ݉ሿ
c *c #, 2 () ! , !& & () , 6 ' 2% ݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ
ܲ ൌ ͳʹሾܾܽݎሿܲ௦ ൌ ʹǡͺሾܾܽݎሿ ܶ ൌ ͶͶሾԨሿ
ܲ ܶ
ܲ௦ ݄௦
ܬܭ ݄ ൌ ݄௦ ൌ ͳͳʹǡʹʹ ൨ ݃ܭ ݔൌ Ͳǡ͵ʹ
݉ଷ ֜ ݒ௦ ൌ ͲǡͲʹ͵ͷ ቈ ݃ܭ ܽ݀ܽݎݐ݊ܧሺ݀ܽݎݑݐܽݏݎܽݒሻ݈ܵܽ݅݀ܽ ܲ ൌ ͳሾܾܽݎሿܲ௦ ൌ ͳሾܾܽݎሿ ܲ
ܲ௦ ݄௦
ܬܭ ݄ ൌ ݄௦ ൌ ʹͷǡ͵͵ ൨ ݃ܭ ݉ଷ ݒ௦ ൌ Ͳǡʹ͵ͺ ቈ ݃ܭ
c #, 2 (),! &() !, /! 6 ' 2% ݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ
ܲ ൌ ͳͶሾܾܽݎሿܲ௦ ൌ ʹǡͶሾܾܽݎሿ ܶ ൌ ͶͺሾԨሿ
ܲ ܶ
ܲ௦ ݄௦
ܬܭ ݄ ൌ ݄௦ ൌ ͳͳͺǡ͵ͷ ൨ ݃ܭ ݔൌ Ͳǡ͵
݉ଷ ֜ ݒ௦ ൌ ͲǡͲ͵ͳ͵Ͷ ቈ ݃ܭ ܽ݀ܽݎݐ݊ܧሺ݀ܽݎݑݐܽݏݎܽݒሻ݈ܵܽ݅݀ܽ ܲ ൌ ͳሾܾܽݎሿܲ௦ ൌ ͳሾܾܽݎሿ ܲ
ܲ௦ ݄௦
ܬܭ ݄ ൌ ݄௦ ൌ ʹͲǡͻͻ ൨ ݃ܭ ݉ଷ ݒ௦ ൌ Ͳǡͳͳͷͷͻ ቈ ݃ܭ
c " = $ 2 ; 3 > 2 !3, "= 0=" = ' () # " . $ 2 9& '$ " "& % () # " c & ' ë ë # % & '(
ܲଵ ൌ ͶͲሾܾܽݎሿܲଶ ൌ ͳͲͲሾܾܽݎሿ ՜ ͶͲሾܾܽݎሿܲ௦ ൌ ͳͲሾܾܽݎሿ ܶଵ ൌ െͳͲሾԬሿܶଶ ൌ ʹͲͲሾι ܨሿ
݉ሶଵ ൌ ͳ ቂ
௦
ቃ
݄ଵ ൌ ͺǡͷ ቂ
ܲଵ ܶଵ
௧௨
݄ଶ ൌ ͳͶʹǡͶͷ ቂ
ܲଶ ܶଶ
ቃ
௧௨
ቃ
ܲ௦ '( ݄௦ ൌ ʹͲǡͷ ቂ
௧௨
ቃݒ௦ ൌ ͲǡͲͳʹ͵ʹ ቂ
௧ య
ቃ
! "# ݉ሶଵ ݉ሶଶ ൌ ݉ሶ௦ ! ë $ ܳሶ െ ܹሶ ݉ሶ ሺ݄ ܿܧ ݃ܧሻ ൌ ݉ሶ௦ ሺ݄ ܿܧ ݃ܧሻ௦
͵
௦
݈ܾ݉ ݑݐܤ ݑݐܤ ݈ܾ݉ ݑݐܤ ݑݐܤ ൨ ͳ ൨ כͺǡͷ ൨ ݉ሶଶ ͳ כͶʹǡͶͷ ൨ ൌ ൬ͳ ൨ ݉ሶଶ ൰ Ͳʹ כǡͷ ൨ ݃݁ݏ ݈ܾ݉ ݈ܾ݉ ݃݁ݏ ݈ܾ݉ ݃݁ݏ ֜ ݉ሶଶ ൌ ͲǡͲ͵
݈ܾ݉ ൨ ݃݁ݏ
݉ሶ௦ ൌ ݉ሶଵ ݉ሶଶ ൌ ͳǡͲ͵
݈ܾ݉ ൨ ݃݁ݏ
ߨ כሺͲǡͳʹͷଶ ሻሾ݂ ݐଶ ሿ ܸ כ௦ ܣ௦ ܸ כ௦ ݈ܾ݉ Ͷ ՜ ݉ሶ௦ ൌ ֜ ͳǡͲ͵ ൨ൌ ݂ ݐଷ ݒ௦ ݃݁ݏ ൨ ͲǡͲͳʹ͵ʹ ݈ܾ݉ ݂ݐ ֜ ܸ௦ ൌ ͳͲǡ ൨ ݃݁ݏ
c 7 / ! $ = / 3 / , ! " " / $ / &c2&2&c2,& 2!&! ! " +' () / & () &, ݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ Ͳሾ݃݅ݏሿ ൌ Ͷǡሾܽ݅ݏሿܲ௦ ൌ ͳͶǡሾܽ݅ݏሿ
ܶ ൌ ͳͲͲሾԬሿܶ௦ ൌ ͳͲͲሾԬሿ
݀ ൌ ʹሾ݅݊ሿ ൌ Ͳǡͳሾ݂ݐሿ݀௦ ൌ ሾ݅݊ሿ ൌ Ͳǡͷሾ݂ݐሿ
݂ ݐଷ ݂ ݐଷ ሶൌ ͷͲ ቈ ൌ Ͳǡͳ ቈ ݄ݎ ݃݁ݏ ݈ܾ݉ ൌ ͷ͵ǡͲͶ ଷ ൨ ݂ݐ
݃ ൌ ͵ʹǡʹ
݂ݐ ൨ ݃݁ݏଶ
οܼ ൌ ʹǤͲͲͲሾ݂ݐሿ
ሶൌ ܣ ܸ כ ൌ ܣ௦ ܸ כ௦
݂ ݐଷ Ͳǡͳ ݃݁ݏ൨
݂ݐ ֜ ܸ ൌ ߨ ൌ ǡͲͷ ൨ ݃݁ݏ ሺͲǡͳଶ ሻሾ݂ ݐଶ ሿ כ Ͷ ݂ ݐଷ Ͳǡͳ ݃݁ݏ൨
݂ݐ ֜ ܸ௦ ൌ ߨ ൌ Ͳǡͺͳ ൨ ݃݁ݏ כሺͲǡͷଶ ሻሾ݂ ݐଶ ሿ Ͷ
ൌ
οܲ ͳ כ൫ܸ௦ ଶ െ ܸ ଶ ൯ ݃ כοܼ ʹ
ͳͶǡሾܽ݅ݏሿ െ Ͷǡሾܽ݅ݏሿ ͳ ݂ݐ ݂ ݐଶ ଶ ଶ ൌ ͵ʹǡʹ כሺͲǡͺͳ െ ǡͲͷ ሻ ቈ ൨ ʹ כǤͲͲͲሾ݂ݐሿ ݈ܾ݉ ݃݁ݏଶ ʹ ݃݁ݏଶ ͷ͵ǡͲͶ ଷ ൨ ݂ݐ ݂ ݐଶ כ ൌ ͷͻǤͳ͵Ͷǡͷ ቈ ݃݁ݏଶ
՜ ݉ሶ ൌ כ ܸ כ ܣൌ
గ ସ
֜ ൌ ʹǡ͵
כሺͲǡͷଶ ሻሾ݂ ݐଶ ሿ Ͳ כǡͺͳ ቂ
֜ ܹሶ ൌ ݉ כሶ ൌ ʹǡ͵
ݑݐܤ ሾݑݐܤሿ ൌ ʹǡ͵ ൨ ݈ܾ݉ ݐ݂ כଶ ݈ܾ݉ ൨ ʹͷǤͲ͵ǡͷ ݃݁ݏଶ
௧
௦
ݑݐܤ ൨ ݈ܾ݉
ቃ כͷ͵ǡͲͶ ቂ
௧ య
ቃ ൌ ͺǡͶͶ ቂ
௦
ቃ ൌ ͵ͲǤ͵ͺͶ ቂ
݈ܾ݉ ሾ݄ሿ ݑݐܤ ൨ Ͳ͵ כǤ͵ͺͶ ൨כ ൌ ʹͺǡͳͺሾ݄ሿ ݑݐܤ ݄ݎ ݈ܾ݉ ቃ ʹǤͷͶͷ ቂ ݄ݎ
ቃ
c 0 6 ! ' / " $ 0 3 " $ " # ?2! !& 6 () , & () "
c ! & !@<& &c&& c + ' & / " +'()$ & %8%& () $ %8& () $ $ $ %8 ʹ݀ܽݐݏܧͳ݀ܽݐݏܧ
ܲଵ ൌ ͳͶͲሾܾܽݎሿܲଶ ൌ ͲǡͲሾܾܽݎሿ
ܶଵ ൌ ͷͲሾԨሿ ݔൌ ͳͲͲሾԬሿ
͵݀ܽݐݏܧሺ݈À݀ܽݎݑݐܽݏ݀݅ݑሻ݀ܽݐݏܧͶ
ܲଷ ൌ ͲǡͲሾܾܽݎሿܲସ ൌ ͳͶͲሾܾܽݎሿ ܲଵ ܶଵ ܲଶ ݔ
݄ଵ ൌ ͵ǤͶͺ ቂ ቃ
݄ଶ ൌ ʹǤʹͲͷ ቂ ቃ
ܲଷ ǡ ݈݄݅ ݀ܽݎݑݐܽݏ݀݅ݑଷ ൌ ͳͷͳǡ͵͵ ቂ ቃ ݒൌ ͳǡͲͲͶ ିͲͳ כଷ ቂ െ ൌ ο݄ ֜ ൌ ݄ଵ െ ݄ଶ ൌ ͵ǤͶͺ
! )െ ൌ ο݄
య
ቃ
ܬܭ ܬܭ ܬܭ ൨ െ ʹǤʹͲͷ ൨ ൌ ͳǤʹͺͳ ൨ ݃ܭ ݃ܭ ݃ܭ
݉ଷ ܬܭ ͳͲଶ ሾܽܲܭሿ ՜ ο݄ ൌ כ ݒοܲ ൌ ͳǡͲͲͶ ିͲͳ כଷ ቈ כሺͳͶͲ െ ͲǡͲሻሾܾܽݎሿ כ ൌ ͳͶ ൨ ݃ܭ ݃ܭ ሾܾܽݎሿ ֜ െ ൌ ͳͶ
ܬܭ ܬܭ ൨ ՜ ൌ ͳͶ ൨ ݃ܭ ݃ܭ
ܬܭ ܬܭ ܬܭ ՜ ݄ସ ൌ ݄ଷ ൌ ͳͷͳǡ͵͵ ൨ ͳͶ ൨ ൌ ͳͷǡ͵͵ ൨ ݃ܭ ݃ܭ ݃ܭ
ë ݉ሶ ൌ ë
ܹሶ ʹͲǤͲͲͲሾ ܹܭሿ ݃ܭ ൌ ൌ ͳͷǡ ൨ ܬܭ ݃݁ݏ ͳǤʹͺͳ ൨ ݃ܭ
ܬܭ ൌ ݄ଵ െ ݄ସ ൌ ͵Ǥ͵ʹͲǡ ൨ ݃ܭ ܳሶ ൌ ݉ כሶ ൌ ͷͳǤͺͲʹǡͷሾ ܹܭሿ
ܳሶ ൌ Ͳǡ͵ͺ ֜ ͵ͺΨ ݉ሶ
c 2 7 /& $ %8& 2& " %A*%Ac ' +'() %<& () $
ͳ݀ܽݐݏܧሺ݀ܽݎݑݐܽݏݎܽݒሻʹ݀ܽݐݏܧ ܲଵ ൌ ͳͲሾܽܲܭሿ ൌ ͳǡሾܾܽݎሿܲଶ ൌ ͻͲͲሾܽܲܭሿ ൌ ͻሾܾܽݎሿ
ܶଶ ൌ ͳͲͲሾԬሿ
͵݀ܽݐݏܧሺ݈À݀ܽݎݑݐܽݏ݀݅ݑሻ݀ܽݐݏܧͶ
ܲଷ ൌ ͻሾܾܽݎሿܲସ ൌ ͳǡሾܾܽݎሿ ܳሶ ൌ െͳ
ܬܭ ൨ ݃݁ݏ
ܲଵ ݈݅ ݀ܽݎݑݐܽݏ݀݅ݑ
݄ଵ ൌ ʹ͵ǡͻ ቂ ቃ
݄ଶ ൌ ʹͺʹǡ͵Ͷ ቂ ቃ
ܲଶ ܶଶ
ܲଷ ǡ ݈݄݅ ݀ܽݎݑݐܽݏ݀݅ݑଷ ൌ ͻͻǡͷ ቂ ቃ
ܬܭ ܬܭ ܬܭ ൌ ݄ଷ െ ݄ଶ ൌ ͻͻǡͷ ൨ െ ʹͺʹǡ͵Ͷ ൨ ൌ െͳͺʹǡͺ ൨ ݃ܭ ݃ܭ ݃ܭ ܬܭ ൨ െͳ ܳሶ ݃ܭ ݃݁ݏ ՜ ݉ሶ ൌ ൌ ൌ ͲǡͲͺͷ ൨ െͳͺʹǡͺ ܬܭ൨ ݃݁ݏ ݃ܭ
)
ܬܭ ܬܭ ܬܭ ൌ ݄ଵ െ ݄ଶ ൌ ʹ͵ǡͻ ൨ െ ʹͺʹǡ͵Ͷ ൨ ൌ െͶͶǡ͵ ൨ ݃ܭ ݃ܭ ݃ܭ
֜ ܹሶ ൌ ݉ כሶ ൌ െͶͶǡ͵ ቂ ቃ Ͳ כǡͲͺͷ ቂ ቃ ൌ െ͵ǡͺͺሾ ܹܭሿ ՜ ܹሶ௦ ൌ ͵ǡͺͺሾ ܹܭሿ ௦
ܬܭ ൨ െͳ ܳሶ ݃݁ݏ ൌ ൌ Ͷǡͳʹ െ͵ǡͺͺሾ ܹܭሿ ܹሶ
c 2c & !&1 /& = ,6 ,' / # %<& ' $ .' &%8
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͶͲሾܾܽݎሿܲ௦ ൌ ͲǡͲͺሾܾܽݎሿ
ܶ ൌ ͶͶͲሾԨሿ ݔൌ Ͳǡͺʹ ܲ ܶ
݄ ൌ ͵Ǥ͵Ͳǡͳ ቂ ቃ
ܲ௦ ݔ
݄௦ ൌ ʹǤͳͳǡʹ ቂ ቃ
ܬܭ ܬܭ ܬܭ ൌ ݄ െ ݄௦ ൌ ͵Ǥ͵Ͳǡͳ ൨ െ ʹǤͳͳǡʹ ൨ ൌ ͳǤͳͶͷǡͺͶ ൨ ݃ܭ ݃ܭ ݃ܭ ܬܭ ൨ ͳͲǤͲͲͲ ܹሶ ݃ܭ ݃݁ݏ ՜ ݉ሶ ൌ ൌ ൌ ͺǡ͵ ൨ ͳǤͳͶͷǡͺͶ ܬܭ൨ ݃݁ݏ ݃ܭ
)
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧሺ݈À݀ܽݎݑݐܽݏ݀݅ݑሻ ܲ ൌ ͲǡͲͺሾܾܽݎሿܲ௦ ൌ ͲǡͲͺሾܾܽݎሿ
ݔൌ Ͳǡͺʹ ܲ ܶ
݄ ൌ ʹǤͳͳǡʹ ቂ ቃ
݄௦ ൌ ͳ͵ǡͺͺ ቂ ቃ
ܲ௦ ݈݅ ݀ܽݎݑݐܽݏ݀݅ݑ
ܬܭ ܬܭ ܬܭ ൌ ݄௦ െ ݄ ൌ ͳ͵ǡͺͺ ൨ െ ʹǤͳͳǡʹ ൨ ൌ െͳǤͻͺǡ͵ͺ ൨ ݃ܭ ݃ܭ ݃ܭ
݃ܭͲሾ݃݁ݏሿ ݃ܭ ܬܭ ൨כ ൌ െͳǡͲͶͳ Ͳͳ כ ൨ ՜ ܳሶ ൌ ݉ כሶ ൌ െͳǤͻͺǡ͵ͺ ൨ כͺǡ͵ ݃݁ݏ ሾ݉݅݊ሿ ݉݅݊ ݃ܭ ֜ ܳሶ௫௧
Àௗ
ൌ ͳǡͲͶͳ Ͳͳ כ
݃ܭ ൨ ݉݅݊
c ! 7 / ' ' # / &@A!, / = & @A () 6 / () , / &c @A ! +' ' ë ë
ܲ ൌ ͲǡͳሾܽܲܯሿͲܲଶ ൌ ͳͲሾܾܽݎሿ ܶ ൌ ʹͲሾԨሿ ൌ ʹͻ͵ሾιܭሿͲ ܶ
݄ ൌ ʹͻ͵ǡͳ ቂ ቃ
! "#
݉ ൌ ݉ଶ െ ݉ଵ
! ë $
οܷ ൌ ݉ଶ ݑଶ െ ݉ଵ ݑଵ ൌ ሺ݉ଶ െ ݉ଵ ሻ ݄ כ
ݑଶ
ܬܭ ֜ ݑଶ ൌ ݄ ൌ ʹͻ͵ǡͳ ൨ ݃ܭ
ܶଶ ൌ ͶͲͻǡͶሾιܭሿ ൌ ͳ͵ǡ͵ሾԨሿ
c 1 A ' 2 B0 A B0 ' / !& 2 / & / " / ' / , / = ! / 2 +' & B0 . 2*1%8 ' ë ë
ܲ ൌ ͵Ͳሾܾܽݎሿܲଵ ൌ ͳሾܾܽݎሿܲଶ ൌ ʹͲሾܾܽݎሿ ܶ ܶଶ ൌ ͵ͲሾԨሿ
ܳ ൌ ͵ͻሾܬܭሿ ൌ ʹሾ݉ଷ ሿ
ܲଵ ݑ ݀ܽݎݑݐܽݏݎܽݒଵ ൌ ʹǤͷͲǡͳ ቂ ቃ
݉ଷ ൌ ͳǡͳͺሾ݃ܭሿ ݒଵ ൌ ͳǡͻͶ ቈ ֜ ݉ଵ ൌ ݃ܭ ݒଵ
ܲଶ ܶଶ ݑଶ ൌ ʹǤͺ ቂ ቃ
݉ଷ ݒଶ ൌ ͲǡͳͶͳͳ ቈ ֜ ݉ଶ ൌ ൌ ͳͶǡͳሾ݃ܭሿ ݒଶ ݃ܭ
! "#
! ë $
݉ ൌ ݉ଶ െ ݉ଵ ൌ ͳʹǡͻͻሾ݃ܭሿ οܷ ൌ ݉ଶ ݑଶ െ ݉ଵ ݑଵ ൌ ܳ ݉ ݄ כ ܬܭ ֜ ݄ ൌ ʹǤͻͶͳǡ͵ ൨ ݃ܭ
ܲ ݄ ܶ ൌ ʹͺͲሾԨሿ
c c 7 / ' ' # / 1 3 , /= ()6 / & 3,, () , / &c13 +' ' ë ë
ܲ ൌ ͳሾܽ݉ݐሿͲܲଶ ൌ ͳሾܽ݉ݐሿ ܶ ൌ ͲሾԬሿ ൌ ͷ͵ͲሾιܴሿͲ ܶ
݄ ൌ ͳʹǡͷʹ ቂ
௧௨
ቃ
! "#
݉ ൌ ݉ଶ െ ݉ଵ
! ë $
οܷ ൌ ݉ଶ ݑଶ െ ݉ଵ ݑଵ ൌ ሺ݉ଶ െ ݉ଵ ሻ ݄ כ
ݑଶ
ݑݐܤ ൨ ֜ ݑଶ ൌ ݄ ൌ ͳʹǡͷʹ ݈ܾ݉
ܶଶ ൌ ͶͲሾιܴሿ ൌ ʹͺͲሾԬሿ
c c* 7 / 2 3 # $ 9 " " $ +'() / & 3,,&() / / & &1 = ൌ ͳͲͲሾ݂ ݐଷ ሿ
ܲ
ൌ ͳͲͲሾܽ݅ݏሿ
ൌ ͳͲͲሾԬሿ ൌ ͷͲሾιܴሿ
ܶ
݉ሶ௦
ൌ ͲǡͲ
ܳሶ௧ ൌ
ݑݐܤ ൨ ݃݁ݏ
݈ܾ݉ ൨ ݃݁ݏ
ܳሶ௧ ൌ ݉ሶ௦ ՜
݄ כ
݈ܾ݉ ݑݐܤ ݑݐܤ ൨ ൌ ͲǡͲ ൨ ݄ ֜ ݄ כൌ ͳͲͲ ൨ ݃݁ݏ ݈ܾ݉ ݃݁ݏ
݄
ܶ ൌ ͶʹͲሾιܴሿ ൌ െͶͲሾԬሿ
ëë ͳͲͲሾܽ݅ݏሿ ͲͲͳ כሾ݂ ݐଷ ሿ ൌ
ೌ
್ ቃ ଶ଼ǡଽቂ ್
֜ ݉
Ͳͳ כǡ͵ ቂ
௦ כ௧ య
כιோ
ൌ Ͷͺǡʹͳሾ݈ܾ݉ሿ
*) ݉
ൌ ݉ െ ݉ሶ௦
כͶʹͲሾ݃݁ݏሿ ൌ Ͷͺǡʹͳሾ݈ܾ݉ሿ െ ͲǡͲ
ܶ ݄
ൌ ͳ͵͵ǡͺ ቂ
௧௨
ቃ
ቃ כͷͲሾιܴሿ
݈ܾ݉ ൨ כͶʹͲሾ݃݁ݏሿ ൌ ʹ͵ǡͲͳሾ݈ܾ݉ሿ ݃݁ݏ
ܳሶ௧ כͶʹͲሾ݃݁ݏሿ ൌ ݂݈݉݅݊ܽ ݄ כ െ ݈݉݅݊݅ܿ݅ܽ ݄ כ ՜
ݑݐܤ ൨ כͶʹͲሾ݃݁ݏሿ ൌ ʹ͵ǡͲͳሾ݈ܾ݉ሿ ݄ כ ݃݁ݏ ֜ ݄
݄ ܶ
ݑݐܤ െ Ͷͺǡʹͳሾ݈ܾ݉ሿ ͵͵ͳ כǡͺ ൨ ݈ܾ݉
ݑݐܤ ൌ ͵ͺͻǡͻͺ ൨ ݈ܾ݉
ൌ ͳ͵͵ǡͺሾιܴሿ
ëë + ܲ ͲͲͳ כሾ݂ ݐଷ ሿ ൌ
ʹ͵ǡͲͳሾ݈ܾ݉ሿ
್ ଶ଼ǡଽቂ ቃ ್
֜ ܲ
Ͳͳ כǡ͵ ቂ
௦ כ௧ య
כιோ
ൌ ͳ͵Ͷǡͷʹሾܽ݅ݏሿ
ቃ ͵͵ͳ כǡͺሾιܴሿ
c 7 $ C / A B " A B # " & " & ,
/= B! D , / & 6= . / BE?B!B ' ë ë
ܲ ܲଵ ܲ ܶ ܶ ܶଶ
ൌ ܸ
! "#
՜ ݉ଵ ൌ
ܲଵ ܸ כ ܲ ܸכ Ǣ݉ଶ ൌ ܴ ܶ כ ܴ ܶ כଶ
! ë $ ֜ቀ
ೌ כ
ோ்כమ
ቁ כሺܶଶ ݒܥ כଶ ሻ െ ቀ
݉ ൌ ݉ଶ െ ݉ଵ
݉ଶ ݑଶ െ ݉ଵ ݑଵ ൌ ሺ݉ଶ െ ݉ଵ ሻ ݄ כ
భ כ
ோೌ்כ
ቁ כሺܶ ݒܥ כሻ ൌ ቀ
֜ ܲ ݒܥ כଶ െ ܲଵ ݒܥ כൌ ܲ כ ܥ כ
்ೌ ்మ
ோ்כమ
െ ܲଵ ܥ כ
֜ ܲ ݒܥ כଶ െ ܲଵ ሺ ݒܥെ ܥሻ ൌ ܲ ೌ כ ܥ כ ֜ ܶோ ൌ
ೌ כ
ቁ כሺܶ ܥ כሻ െ ቀ
்
்మ
ܶଶ ܲ ܥ כ ൌ ܶ ܲ ݒܥ כଶ െ ܲଵ ሺ ݒܥെ ܥሻ
భ כ
ோೌ்כ
ቁ כሺܶ ܥ כሻ
c 1 7 $ / &c 2 2 0 $ c ( ) ' 0& .'
6 F , , .'
c 1 / ' / c & , &c2, / c /. ! 2 # " & '& & =
ܲ ൌ ͳͲሾܾܽݎሿܲ௦ ൌ ʹሾܾܽݎሿ ܶ ൌ ͷͲሾ‰ܿ ሿܣ௦ ൌ ͳͲͲͲሾܿ݉ଶ ሿ ൌ Ͳǡͳሾ݉ଶ ሿ ݉ ܸ ൌ ͺͲ ቂ ቃ ݏ ݉ሶ ൌ ͳͲͲͲ ቂ ቃ ൌ ͳǡ ቂ ቃ
ܲ ܶ ݒ ൌ ͲǡͲʹͳʹ ቂ
య
ቃ
௦
ܲ௦ ǡ ݒ௦ ൌ Ͳǡͺͺͷ ቂ
య
ቃ
݉ሶ ൌ
ܣ ܸ כ ݒ
݉ሶ ൌ
ܣ௦ ܸ כ௦ ݒ௦
݉ ܣ כͺͲ ቂ ቃ ݇݃ ܣ ֜ ݏൌ Ͷǡͷ͵ ିͲͳ כଷ ሾ݉ଶ ሿ ൌ Ͷͷǡ͵ሾܿ݉ଶ ሿ ͳǡ ൨ൌ ݉ଷ ݃݁ݏ ͲǡͲʹͳʹ ൨ ݇݃
݉ Ͳǡͳሾ݉ଶ ሿ ܸ כ௦ ݇݃ ൨ൌ ֜ ܸ௦ ൌ ͳͶǡͷ ቂ ቃ ͳǡ ଷ ݉ ݏ ݃݁ݏ Ͳǡͺͺͷ ൨ ݇݃
c * c & " & " &c +'()$ " %,&() ë
ܲ ൌ Ͳሾܾܽݎሿܲ௦ ൌ Ͳǡሾܾܽݎሿ ܶ ൌ ͷͲͲሾ‰ ܥሿ݀௦ ൌ Ͷǡͷሾ݉ሿ ݉ ܸ ൌ ͳͲͲ ቂ ቃ ݏ ሾ ݀ ൌ Ͳǡ ݉ሿ ܲ ܶ ݒ ൌ ͲǡͲͷͷ ቂ
య
ቃ
ܲ௦ ǡ ݒ௦ ൌ ʹǡ͵ʹ ቂ
య
ቃ
݉ ߨ ଶ ଶ ܣ௦ ܸ כ௦ Ͷ כሺͲǡሻ ሾ݉ ሿ ͲͲͳ כቂ ݏቃ ݇݃ ݇݃ ݉ሶ ൌ ൌ ൌ Ͷͻͻǡͳ ൨ ൌ ͳǤͻǤͲ ൨ ଷ ݉ ݒ௦ ݏ ݄ ͲǡͲͷͷ ൨ ݇݃ ߨ כሺͶǡͷሻଶ ሾ݉ଶ ሿ ܸ כ ݇݃ Ͷ Ͷͻͻǡͳ ൨ ൌ ݉ଷ ݄ ʹǡ͵ʹ ൨ ݇݃ ݉ ֜ ܸ ൌ ͺͷǡ͵ ቂ ቃ ݏ
c &-
.' ! / & ! 0 !1 c & /&2! +'() / &() % ë
݉ ܸ ൌ ʹͲ ቂ ቃܲ௦ ൌ ͳǡͺሾܾܽݎሿ ݏ ݉ ܶ ൌ ʹሾ‰ ܥሿܸ௦ ൌ ͷͲ ቂ ቃ ݏ ܣ ൌ ͲǡͲͲͺሾ݉ଶ ሿܣ௦ ൌ ͲǡͲͲ͵ሾ݉ଶ ሿ
݉ሶ ൌ ͳͺ ቂ
ቃ ൌ Ͳǡ͵ ቂ ቃ ௦
ëë ܲ ܣ כ ܸ כ ൌ
݉ሶ ܶ כ ܴ כ ܲܯ
݃ܭ Ͳǡ͵ ቂ ݏቃ ݉ ܾܽ݉ כ ݎଷ ଶ ͲͲ͵ כሾιܭሿ ܲ Ͳ כǡͲͲͺሾ݉ ሿ Ͳʹ כቂ ቃ ൌ Ͳ כǡͲͺ͵ͳͶ ቈ ݇݃ ݏ ܭ‰ כ ݈݉݃ܭ ͵ʹ ݈݉݃ܭ൨ ֜ ܲ ൌ ͳǡͶሾܾܽݎሿ
ëë ܲ௦ ܣ כ௦ ܸ כ௦ ൌ
ͳǡͺሾܾܽݎሿ Ͳ כǡͲͲ͵ሾ݉
ଶሿ
݉ሶ ܶ כ ܴ כ௦ ܲܯ
݃ܭ Ͳǡ͵ ቂ ݏቃ ݉ ܾܽ݉ כ ݎଷ ܶ כ௦ כͷͲ ቂ ቃ ൌ Ͳ כǡͲͺ͵ͳͶ ቈ ݇݃ ݏ ݈݉݃ܭ כ ‰ܭ ͵ʹ ݈݉݃ܭ൨ ֜ ܶ௦ ൌ ͵ͶǡͶሾιܭሿ
c * & 3& 1c / & ! ! 435 " / &! 6()$ " &() ë
ܲ ൌ ͳͲͲሾܽ݅ݏሿܲ௦ ൌ ͺͲሾܽ݅ݏሿ ܶ ൌ ͺͲሾ‰ ܨሿ ൌ ͷͶͲሾ‰ܴሿܶ௦ ൌ ͳʹͲሾ‰ܨሿ ൌ ͷͺͲሾ‰ܴሿ ܣ ൌ ሾ݅݊ଶ ሿ ൌ ͲǡͲͶʹሾ݂ ݐଶ ሿܣ௦ ൌ Ͷሾ݅݊ଶ ሿ ൌ ͲǡͲʹͺሾ݂ ݐଶ ሿÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊ
ܸ ൌ ͳͷ ቂ
௧
௦
ቃÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊ
ëë ܲ ܣ כ ܸ כ ൌ
ͳͲͲሾܽ݅ݏሿ Ͳ כǡͲͶʹሾ݂ ݐଶ ሿ ͳ כͷ
݉ሶ ܶ כ ܴ כ ܲܯ
݂ݐ ݐ݂ כ ܽ݅ݏଷ ݉ሶ כͷͶͲሾ‰ܴሿ ൨ൌ Ͳͳ כǡ͵ ቈ ݈ܾ݉ ݃݁ݏ ݈ܾ݈݉ כ ‰ܴ ቃ ʹͺǡͻ ቂ ݈ܾ݈݉ ֜ ݉ሶ ൌ ͵ǡ
ëë ܲ௦ ܣ כ௦ ܸ כ௦ ൌ
݈ܾ݉ ൨ ݃݁ݏ
݉ሶ ܶ כ ܴ כ௦ ܲܯ
݈ܾ݉ ൨ ݐ݂ כ ܽ݅ݏଷ ݃݁ݏ ଶ כͷͺͲሾ‰ܴሿ Ͳͳ כǡ͵ ቈ ͺͲሾܽ݅ݏሿ Ͳ כǡͲʹͺሾ݂ ݐሿ ܸ כ௦ ൌ ݈ܾ݉ ݈ܾܴ݉‰ כ ݈ ቃ ʹͺǡͻ ቂ ݈ܾ݈݉ ͵ǡ
݂ݐ ൨ ֜ ܸ௦ ൌ ͵ͷͳǡͻ ݃݁ݏ
c !1 7 $ & 2 &* ! " " 1 +' () $ " %& () &() & ሶൌ Ͳǡͳ ቂ ቃ ൌ ͲǡͲͲͳ ቂ௦ቃ య
య
ெ
௧
ݒכ
௨
ൌ
௧௩
֜
ൌ
௧
ǡଽ
య ଵǡଵ଼כଵషయ ൨ ಼
ൌ ͺͻͺǡ͵ͺ ቂ
య
ቃ
ë
ܶ ൌ ʹͲሾ‰ ܥሿܶ ൌ ܶ௦ ൌ ʹͲሾ‰ܥሿ ՜ ൌ ௦ ݀ ൌ ͳͲሾܿ݉ሿ݀௦ ൌ ሾܿ݉ሿ ݉ሶ ൌ ሶ כ
௧
݉ሶ ൌ ܣ ܸ כ כ
݉ሶ ൌ ܣ௦ ܸ כ௦ כ
ൌ ͲǡͲͲͳ ቂ ௧
௧
య
௦
ቃ כͺͻͺǡ͵ͺ ቂ
֜ ͳǡͷ͵ ቂ
௦
֜ ͳǡͷ͵ ቂ
య
ቃ ൌ ͳǡͷ͵ ቂ
ቃ
ቃ ൌ כሺͲǡͳଶ ሻሾ݉ଶ ሿ ܸ כ כͺͻͺǡ͵ͺ ቂ ସ గ
֜ ܸ ൌ Ͳǡʹʹ
௦
௦
݉ ൨ ݃݁ݏ
య
ቃ ൌ כሺͲǡͲଶ ሻሾ݉ଶ ሿ ܸ כ௦ כͺͻͺǡ͵ͺ ቂ గ ସ
֜ ܸ௦ ൌ ͲǡͶͶ
݉ ൨ ݃݁ݏ
ቃ
య
ቃ
c 2 22!c c2c $ " %, + $ " & 6 () '%8%&() & ()" ' ë
ܲ ൌ ͵Ͳሾܾܽݎሿܲ௦ ൌ Ͷͺሾܾܽݎሿ ܶ ൌ ͵ʹͲሾԨሿܶ௦ ൌǫ
ܸ ൌ Ͳܸ௦ ൌ ͷ͵ͷ ቂ ݉ሶ ൌ ͺǤͲͲͲ
݃ܭ ݃ܭ ൨ ൌ ʹǡʹʹ ൨ ݄ ݃݁ݏ
ܲ ܶ ݄ ൌ ͵ǤͲͶ͵ǡͶ ቂ ቃ
ܳ െ ܹ ൌ ο݄ ο ܿܧ ο݃ܧ
՜ ο݄ ο ܿܧൌ Ͳ
ͳ ሺͷ͵ͷଶ െ Ͳሻ ܬܭ ܬܭ ൨ ൌ Ͳ ൬݄௦ െ ͵ǤͲͶ͵ǡͶ ൨൰ ʹ ͳǤͲͲͲ ݃ܭ ݃ܭ ܬܭ ֜ ݄௦ ൌ ʹǤͻͲͲǡ͵ ൨ ݃ܭ
ܲ௦ ݄௦ ܶ௦ ൌ ʹͶͲǡͶሾԨሿ
ݒ௦ ൌ ͲǡͳͶͺͶ ቂ
య
ቃ
݉ሶ ൌ
ܣ௦ ܸ כ௦ ݒ௦
݉ ܣ௦ כͷ͵ͷ ቂ ቃ ݇݃ ܣ ֜ ݏൌ ǡͳ ିͲͳ כସ ሾ݉ଶ ሿ ൌ ǡͳሾܿ݉ଶ ሿ ʹǡʹʹ ൨ൌ ௦ ݉ଷ ݃݁ݏ ͲǡͳͶͺͶ ൨ ݇݃
௦
ቃÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊÊ
c 2* 3 ! &1c $ " , + $ " & 6 () ' 9& () 3,,&()"
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͶͲͲሾܽ݅ݏሿܲ௦ ൌ ʹͲͲሾܽ݅ݏሿ
ܶ ൌ ͲͲሾԬሿܸ௦ ൌ ͳǡͶͷ
ܸ ൌ Ͳ ݉ሶ ൌ ͳͺǤͲͲͲ
ܲ ܶ ݄ ൌ ͳǤ͵Ͳǡ ቂ
݈ܾ݉ ݈ܾ݉ ൨ ൌ ͷ ൨ ݄ݎ ݃݁ݏ
௧௨
ቃ
ܳ െ ܹ ൌ ο݄ ο ܿܧ ο݃ܧ
ݑݐܤ ͳ ݂ ݐଶ כ ֜ ൬݄௦ െ ͳǤ͵Ͳǡ ൨൰ ͳ כǡͶͷଶ ቈ ݈ܾ݉ ʹ ݃݁ݏଶ
ሾݑݐܤሿ ൌ Ͳ ݈ܾ݉ ݐ݂ כଶ ʹͷǤͲ͵ǡͷ ൨ ݃݁ݏଶ
ݑݐܤ ൨ ֜ ݄௦ ൌ ͳǤ͵Ͳǡ ݈ܾ݉
ܲ௦ ݄௦ ܶ௦ ൌ ͷͻͳǡ͵ሾԬሿݒ௦ ൌ ͵ǡͲʹͻ ቂ
௧ య
ቃ
݂ݐ ܣ௦ ͳ כǡͶͷ ݃݁ݏ൨ ݈ܾ݉ ܣ௦ ܸ כ௦ ֜ ͷ ൨ൌ ݉ሶ ൌ ݂ ݐଷ ݃݁ݏ ݒ௦ ൨ ͵ǡͲʹͻ ݈ܾ݉ ֜ ܣ௦ ൌ ͳͲǡʹሾ݂ ݐଶ ሿ
݂ݐ ൨ ݃݁ݏ
c c " 2: & ! " & ! !& c +' () $ " %& () ' %8%& () &()"'
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͳǡͺሾܾܽݎሿܲ௦ ൌ ʹሾܾܽݎሿ
ܶ ൌ ʹͲሾԨሿܸ௦ ൌ ͷͲ
ܸ ൌ ͳͶͲ
݉ ൨ ݃݁ݏ
݉ ൨ ݃݁ݏ
ܣ ൌ ͳͲͲሾܿ݉ଶ ሿ ൌ ͲǡͲͲͳሾ݉ଶ ሿ ܲ ܶ ݒ ൌ Ͳǡͳʹʹ͵ ቂ
ቃ݄ ൌ ʹͺǡʹ͵ ቂ ቃ
య
݉ ൨ ͲǡͲͲͳሾ݉ଶ ሿ ͳ כͶͲ ܣ ܸ כ ݃ܭ ݃݁ݏ ݉ሶ ൌ ൌ ൌ ͳǡͳ ൨ ଷ ݉ ݒ ݃݁ݏ Ͳǡͳʹʹ͵ ൨ ݇݃
ܳ െ ܹ ൌ ο݄ ο ܿܧ ο݃ܧ
ܬܭ ͳ ሺͷͲଶ െ ͳͶͲଶ ሻ ܬܭ ֜ ൬݄௦ െ ʹͺǡʹ͵ ൨൰ כ ൨ ൌ Ͳ ݃ܭ ʹ ͳǤͲͲͲ ݃ܭ ܬܭ ֜ ݄௦ ൌ ʹǡͺ ൨ ݃ܭ
ܲ௦ ܶ௦ ܶ௦ ൌ ͵ͲሾԨሿݒ௦ ൌ Ͳǡͳͳͺͷ ቂ
య
ቃ
݉ ൨ ܣ௦ כͷͲ ܣ௦ ܸ כ௦ ݃ܭ ݃݁ݏ ݉ሶ ൌ ֜ ͳǡͳ ൨ൌ ݉ଷ ݒ௦ ݃݁ݏ Ͳǡͳͳͺͷ ൨ ݇݃ ֜ ܣ௦ ൌ ͲǡͲͲʹሾ݉ଶ ሿ ൌ ʹሾܿ݉ଶ ሿ
c c! / c1&;c2 / &c! ! 0 "&*2! 6() % & () $ " %& () / ݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͷሾܾ݉ܽݎሿܸ௦ ൌ ͳͺ
݉ ൨ ݃݁ݏ
ܶ ൌ െͷ͵ሾԨሿ ൌ ʹʹͲሾιܭሿܣ௦ ൌ Ͳǡͻ͵ሾ݉ଶ ሿ
ܸ ൌ ͺͺͲ
݉ ൨ ݃݁ݏ
ܣ ൌ Ͳǡͷʹሾ݉ଶ ሿ
ܶ ݄ ൌ ʹͳͻǡͻ ቂ ቃ
ܳ െ ܹ ൌ ο݄ ο ܿܧ ο݃ܧ
ܬܭ ͳ ሺͳͺଶ െ ͺͺͲଶ ሻ ܬܭ ֜ ൬݄௦ െ ʹͳͻǡͻ ൨൰ כ ൨ ൌ Ͳ ݃ܭ ʹ ͳǤͲͲͲ ݃ܭ
݄௦ ܶ௦ ൌ ͲͲሾιܭሿ
ܬܭ ֜ ݄௦ ൌ ͲǡͲͳ ൨ ݃ܭ
ëë ܲ ܣ כ ܸ כ ൌ ֜ ͲǡͲͷሾܾܽݎሿ Ͳ כǡͷʹሾ݉ଶ ሿ כͺͺͲ ቂ
௦
ቃൌ
ሶ
ெ
ܶ כ ܴ כ ሶ
಼ ቃ ଶ଼ǡଽቂ ಼
֜ ݉ሶ ൌ Ͷͳǡ͵ͳ
Ͳ כǡͲͺ͵ͳͶ ቂ
݃ܭ ൨ ݃݁ݏ
כ య
כι
ቃ Ͳʹʹ כሾιܭሿ
ëë ܲ௦ ܣ כ௦ ܸ כ௦ ൌ ֜ ܲ௦ Ͳ כǡͻ͵ሾ݉
ଶሿ
ͳ כͺ ቂ
௦
ቃൌ
ሶ
ெ
ܶ כ ܴ כ௦
಼ ቃ ೞ ಼ ଶ଼ǡଽቂ ቃ ಼
ସଵǡଷଵቂ
Ͳ כǡͲͺ͵ͳͶ ቂ
֜ ܲ௦ ൌ Ͷǡʹͷሾܾܽݎሿ
כ య
כι
ቃ כͲͲሾιܭሿ
c c & 1 % ! 0 & c % !! # c %8% " &* ! +' () / ' %8%& () - & () / " ݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ሾܾܽݎሿܲ௦ ൌ ͳሾܾܽݎሿ
ܶ ൌ ͶͲሾιܭሿܶ௦ ൌ ͶͷͲሾιܭሿ
ܸ ൌ ͳʹͲ
݉ ݉ ൨ܸ௦ ൌ ʹʹͲ ൨ ݃݁ݏ ݃݁ݏ
ܣ ൌ Ͷǡͻͳሾܿ݉ଶ ሿ ൌ Ͷǡͻͳ ିͲͳ כସ ሾ݉ଶ ሿ
ܶ ݄ ൌ ͷǡͶͶ ቂ ቃ
ൌ െͳͷ
ܬܭ ൨ ݃ܭ
ܶ௦ ݄௦ ൌ Ͷͷͳǡͺ ቂ ቃ
ο ܿܧൌ כ ଵ ଶ
ቂ ቃ ൌ ͳ ቂ ቃ
൫ଶଶమ ିଵଶమ ൯ ଵǤ
ëë ܲ ܣ כ ܸ כ ൌ ֜ ሾܾܽݎሿ כͶǡͻͳ ିͲͳ כସ ሾ݉ଶ ሿ Ͳʹͳ כቂ
௦
ሶ
ெ
ቃൌ
ܶ כ ܴ כ
಼ ଶ଼ǡଽቂ ቃ ಼
֜ ݉ሶ ൌ Ͳǡͳ
֜ െͳͷ
ሶ
݃ܭ ൨ ݃݁ݏ
Ͳ כǡͲͺ͵ͳͶ ቂ
ܳሶ െ ܹሶ ൌ ݉ሶሺο݄ ο ܿܧ ο݃ܧሻ
כ య
כι
ቃ כͶͲሾιܭሿ
ܬܭ ݃ܭ ݃ܭ ܬܭ ܬܭ ܬܭ ൨ Ͳ כǡͳ ൨ െ ܹሶ ൌ Ͳǡͳ ൨ ൜൬Ͷͷͳǡͺ ൨ െ ͷǡͶͶ ൨൰ ͳ ൨ൠ ݃ܭ ݃݁ݏ ݃݁ݏ ݃ܭ ݃ܭ ݃ܭ ֜ ܹሶ ൌ Ͷǡͺሾ ܹܭሿ
ëë ܲ௦ ܣ כ௦ ܸ כ௦ ൌ ֜ ͳሾܾܽݎሿ ܣ כ௦ Ͳʹʹ כቂ
௦
ቃൌ
ሶ
ெ
ܶ כ ܴ כ௦
಼ ቃ ೞ ಼ ଶ଼ǡଽቂ ቃ ಼
ǡଵቂ
Ͳ כǡͲͺ͵ͳͶ ቂ
כ య
כι
֜ ܣ௦ ൌ ͻǡͻͺ ିͲͳ כସ ሾ݉ଶ ሿ ൌ ͻǡͻͺሾܿ݉ଶ ሿ
ʹ כͶǡͻͳሾܿ݉ଶ ሿ ʹ ܣ כ ൌඨ ൌ ͳǡͺሾܿ݉ሿ ՜ ݀ ൌ ඨ ߨ ߨ ʹ ܣ כ௦ ʹ ͻ כǡͻͺሾܿ݉ଶ ሿ ඨ ඨ ՜ ݀௦ ൌ ൌ ൌ ʹǡͷʹሾܿ݉ሿ ߨ ߨ ֜
݀ ͳǡͺሾܿ݉ሿ ൌ ൌ Ͳǡ ݀௦ ʹǡͷʹሾܿ݉ሿ
ቃ כͶͷͲሾιܭሿ
c 2 & * &! & * 0 %<"&c! 6$ %8
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͺͲሾܾܽݎሿܲ௦ ൌ ͳሾܾܽݎሿ
ܶ ൌ ͶͶͲሾԨሿ ݔൌ Ͳǡͻ
ܸ ൌ Ͷͻ
݉ ݉ ൨ܸ௦ ൌ ͺͲ ൨ ݃݁ݏ ݃݁ݏ
ܣ ൌ ͲǡͲͳͷሾ݉ଶ ሿ
ܹሶ ൌ ͳͺǤͲͲͲሾ ܹܭሿ
ܲ ܶ ݄ ൌ ͵ǤʹͶǡͳ ቂ ቃ
ܣ ܸ כ ݃ܭ ݉ଷ ൌ ʹͳǡ ൨ ݒ ൌ ͲǡͲ͵Ͷʹ ቈ ֜ ݉ሶ ൌ ݒ ݃݁ݏ ݇݃
ܲ௦ ݄ ݔ௦ ൌ ʹǤ͵͵ǡͺ ቂ ቃ
ܳሶ െ ܹሶ ൌ ݉ሶሺο݄ ο ܿܧ ο݃ܧሻ
֜ ܳሶ െ ͳͺǤͲͲͲሾܹܭሿ ൌ ʹͳǡ ቂ
௦
ቃ ቊቀʹǤ͵͵ǡͺ ቂ
֜ ܳሶ ൌ െͻ
ቃ െ ͵ǤʹͶǡͳ ቂ
ቃቁ כ ͳ ʹ
Ͳሾ݃݁ݏሿ ܬܭ ܬܭ ൨כ ൌ െͶǤͺʹͲ ൨ ሾ݉݅݊ሿ ݉݅݊ ݃݁ݏ
ቀͺͲʹ െͶͻʹ ቁ ܬܭ
ͳǤͲͲͲ
ቂ
݃ܭ
ቃቋ
c 1 7 2 , / " c !& $ " &* % / .$ %8 # 2&%<& '() &()
ܽ݀ܽݎݐ݊ܧሺ݀ܽݎݑݐܽݏݎܽݒሻ݈ܵܽ݅݀ܽ ܲ ൌ ͳሾܾܽݎሿܲ௦ ൌ ͺሾܾܽݎሿ
ܣ ൌ ͷሾܿ݉ଶ ሿ
ܳሶ ൌ െͳͶͲ ݉ሶ ൌ Ͳǡͻ
ܬܭ ൨ ൌ െʹǡ͵ሾ ܹܭሿ ݉݅݊
݃ܭ ݃ܭ ൨ ൌ ͲǡͲͳͷ ൨ ݉݅݊ ݃݁ݏ
ܹሶ ൌ െ͵ሾ ܹܭሿ
ܲ ݄ ൌ ʹ͵ͳǡ͵ͷ ቂ ቃ
݉ଷ ݒ ൌ Ͳǡͳͻͳ ቈ ݇݃
ܳሶ െ ܹሶ ൌ ݉ሶሺο݄ ο ܿܧ ο݃ܧሻ
֜ െʹǡ͵ሾܹܭሿ ͵ሾܹܭሿ ൌ ͲǡͲͳͷ ቂ
݃ܭ ቃכ ݃݁ݏ
֜ ݄ ݏൌ ʹͺǡͺʹ
ܲ௦ ݄௦ ܶ௦ ൌ ͶͶǡͺሾԨሿ
݉ሶ ൌ
ܬܭ ൨ ݃ܭ
ܬܭ ቃቁ ݃ܭ
݃ܭ ͷ ିͲͳ כସ ሾܿ݉ଶ ሿ ܸ כ ܣ ܸ כ ֜ ͲǡͲͳͷ ൨ൌ ݉ଷ ݃݁ݏ ݒ Ͳǡͳͻͳ ൨ ݇݃ ֜ ܸ݁ ൌ ͷǡͷ
ቀ݄ ݏെ ʹ͵ͳǡ͵ͷ ቂ
݉ ൨ ݃݁ݏ
c 1c 7 /c2c . $ 1c 9 0 " 13&*! & !3 &*! #$ 2&6() &() , ݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͳͷሾܽ݅ݏሿܲ௦ ൌ ͵ͷሾܽ݅ݏሿ
ܶ ൌ ͲሾԬሿ ൌ ͷ͵Ͳሾιሿܶ௦ ൌ ʹͺͲሾԬሿ ൌ ͶͲሾιܴሿ
ܣ ൌ Ͳǡͻሾ݂ ݐଶ ሿܣ௦ ൌ Ͳǡͻሾ݂ ݐଶ ሿ
ܳሶ ൌ െͷͲ
ݑݐܤ ݑݐܤ ൨ ൌ െͳǡͷ ൨ ݃݁ݏ ݉݅݊
݂ ݐଷ ݂ ݐଷ ൌ ͳǤ ቈ ሶ ൌ ͳͲǤͲͲͲ ቈ ݊݅ܯ ݃݁ݏ ሶ ൌ ܣ ܸ כ ֜ ܸ ൌ
య ൨ ೞ మ ǡଽሾ௧ ሿ
ଵǤ
ൌ ͳ͵ǡͷ ቂ
ëë ܲ ܣ כ ܸ כ ൌ ֜ ͳͷሾܽ݅ݏሿ Ͳ כǡͻሾ݂ ݐଶ ሿ ͳ כ͵ǡͷ ቂ
௧
௦
௧
௦ ሶ
ெ
ቃൌ
ቃ
ܶ כ ܴ כ ሶ
್ ቃ ଶ଼ǡଽቂ ್
֜ ݉ሶ ൌ ͳʹǡͶ
ëë ܲ௦ ܣ כ௦ ܸ כ௦ ൌ
ሶ
ெ
݈ܾ݉ ൨ ݃݁ݏ
ܶ כ ܴ כ௦
Ͳͳ כǡ͵ ቂ
௦ כ௧ య
כιோ
ቃ כͷ͵Ͳሾιܴሿ
݈ܾ݉ ൨ ͳʹǡͶ ݐ݂ כ ܽ݅ݏଷ ݃݁ݏ כͶͲሾιܴሿ ֜ ͵ͷሾܽ݅ݏሿ Ͳ כǡͻሾ݂ ݐଶ ሿ ܸ כ௦ ൌ Ͳͳ כǡ͵ ቈ ݈ܾ݉ ݈ܾ݉ כ ݈ιܴ ቃ ʹͺǡͻ ቂ ݈ܾ݈݉ ݂ݐ ֜ ܸ௦ ൌ ͳͳͲǡͺͷ ൨ ݃݁ݏ
ܶ ܶ௦
ݑݐܤ ൨ ݄ ൌ ͳʹǡͷʹ ݈ܾ݉ ݑݐܤ ݄௦ ൌ ͳǡʹ͵ ൨ ݈ܾ݉
ܳሶ െ ܹሶ ൌ ݉ሶሺο݄ ο ܿܧ ο݃ܧሻ
݈ܾ݉ ݑݐܤ ͳ ݂ ݐଶ ݑݐܤ ଶ ଶ ሶ ሻ ൨ െ ܹ ൌ ͳʹǡͶ ൨ ሺͷͲǡͳ ൨ ሺͳͳͲǡͺͷ െ ͳ͵ǡͷ ሻ ቈ െͳʹǡͷ ݃݁ݏ ݈ܾ݉ ʹ ݃݁ݏଶ ݃݁ݏ െͳʹǡͷ
ݑݐܤ ݑݐܤ ݑݐܤ ൨ െ ܹሶ ൌ ͶǡͲͷ ൨ െ Ͷǡͷͷ ൨ ݃݁ݏ ݃݁ݏ ݃݁ݏ
ܹሶ ൌ െͷͶ
ݑݐܤ ൨ ൌ ͻʹͷǡͳʹሾܲܪሿ݊×݅ݏ݁ݎ݉ܥ ݃݁ݏ
c ! ! ! & &c!1& . $ c 2 !11 0 / !' / +'()$ & %8& () 6 !&
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ʹͲሾܾܽݎሿܲ௦ ൌ ʹͲሾܾܽݎሿ ܶ ൌ ͶͲͲሾԨሿܶ௦ ൌ ʹͲͲሾԨሿ ܣൌ Ͷሾܿ݉ଶ ሿ ൌ Ͷ ିͲͳ כସ ሾ݉ଶ ሿ
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͳǡͷሾܾܽݎሿܲ௦ ൌ ͳǡͷሾܾܽݎሿ
ܶ ൌ ʹሾԨሿ ൌ ͵ͲͲሾιሿܶ௦ ൌ ʹሾԨሿ ൌ ͷͷͲሾιܭሿ
ሶൌ ͷͲ ቈ
݉ଷ ݉ଷ ൌ Ͳǡͺ͵ ቈ ݃݁ݏ ݊݅ܯ
ë ܶ ܶ௦ ݄ ൌ ͵ͲͲǡͳͻ ቂ ቃǢ݄௦ ൌ ͷͷͶǡͶ ቂ ቃ
ëë ͳǡͷሾܾܽݎሿ Ͳ כǡͺ͵ ቂ
య
௦
ቃൌ
ሶ
಼ ଶ଼ǡଽቂ ቃ ಼
Ͳ כǡͲͺ͵ͳͶ ቂ
֜ ݉ሶ ൌ ͳǡͶͷ
݃ܭ ൨ ݃݁ݏ
כ య
כι
ቃ ͲͲ͵ כሾιܭሿ
ܳሶ ൌ ͳǡͶͷ
ܳሶ െ ܹሶ ൌ ݉ሶሺο݄ ο ܿܧ ο݃ܧሻ
݃ܭ ܬܭ ܬܭ ܬܭ ൨ ሺͷͷͶǡͶ െ ͵ͲͲǡͳͻሻ ൨ ൌ ͵ͻǡͳ ൨ ൌ ʹʹǤͳͶ ൨ ݃݁ݏ ݃ܭ ݃݁ݏ ݉݅݊
ë ܲ ܶ ݒ ൌ Ͳǡͳͷͳʹ ቂ
య
ቃǢ݄ ൌ ͵ǤʹͶǡ ቂ ቃ
ܲ௦ ܶ௦ ݄௦ ൌ ͺͷ͵ǡͶ ቂ ቃ
݉ ିସ ଶ ܸ כ ܣ Ͷ Ͳͳ כሾ݉ ሿ ʹ כቂ ݏቃ ݃ܭ ՜ ݉ሶ ൌ ݉ሶ௦ ൌ ݉ሶ ൌ ൌ ൌ ͲǡͲͲͷ͵ ൨ ଷ ݉ ݒ ݃݁ݏ Ͳǡͳͷͳʹ ൨ ݃ܭ ֜
ܳሶ െ ܹሶ ൌ ݉ሶሺο݄ ο ܿܧ ο݃ܧሻ
݃ܭ ܬܭ ܬܭ ܳሶ ൌ ͲǡͲͲͷ͵ ൨ ሺͺͷ͵ǡͶ െ ͵ǤʹͶǡሻ ൨ ൌ െͳʹǡͺ ൨ ݃݁ݏ ݃ܭ ݃݁ݏ
ܬܭ ܳሶ௧௧ െ͵ͻǡͳ ݃݁ݏ൨ ൌ ൌ ʹͻǡͳ ֜ ͵Ͳ—„‘•Ǥ ܳሶ௧௨ െͳʹǡͺ ܬܭ൨ ݃݁ݏ
c " = 7 $ " ! %, * 0 ! 1* %, ! =" = / & &* +' () &()" ' ë ë
ܲଵ ൌ ͳͲሾܾܽݎሿܲଶ ൌ ͳͲሾܾܽݎሿܲ௦ ൌ ͳͲሾܾܽݎሿ ݉ ൨ ݔൌ Ͳǡͻܶଶ ൌ ʹͺͲሾι ܥሿݒ௦ ൌ ͺǡͻ ݃݁ݏ ܲଵ ݄ ݔଵ ൌ ʹǤͷ͵ ቂ ቃ
ܲଶ ܶଶ ݄ଶ ൌ ͵ǤͲͲͺǡʹ ቂ ቃ
! "#
݃ܭ ݉ሶଵ ݉ሶଶ ൌ ݉ሶ௦ ൌ ͶǤͻͲ ൨ ݄
! ë $
݉ሶଵ ݄ଵ ݉ሶଶ ݄ଶ ൌ ݉ሶ௦ ݄௦
ܬܭ ‰ ܬܭ ݃ܭ ‰ ʹǤͲͲͲ ൨ ʹ כǤͷ͵ ൨ ʹǤͻͲ ൨ ͵ כǤͲͲͺǡʹ ൨ ൌ ͶǤͻͲ ൨ ݄ כ௦ ݃ܭ Š ݃ܭ ݄ Š ܬܭ ݄௦ ൌ ʹǤͺʹǡͶͻ ൨ ݃ܭ
֜ ܲ௦ ݄௦ ܶ௦ ൌ ͳͻͺǡͶሾԨሿ
ݒ௦ ൌ ͲǡʹͲͷ ቂ
య
ቃ
݉ ൨ ܣ௦ כͺǡͻ ܣ௦ ܸ כ௦ ‰ ݃݁ݏ ݉ሶ௦ ൌ ֜ ͳǡ͵͵ ൨ ൌ ݉ଷ ݒ௦ •‡‰ ͲǡʹͲͷ ൨ ݃ܭ
֜ ܣ௦ ൌ ͲǡͲ͵ሾ݉ଷ ሿ ՜ ݀௦ ൌ Ͳǡͳͻͷሾ݉ሿ ൌ ͳͻǡͷሾܿ݉ሿ
c *c #, 2 () ! , !& & () , 6 ' 2% ݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ
ܲ ൌ ͳʹሾܾܽݎሿܲ௦ ൌ ʹǡͺሾܾܽݎሿ ܶ ൌ ͶͶሾԨሿ
ܲ ܶ
ܲ௦ ݄௦
ܬܭ ݄ ൌ ݄௦ ൌ ͳͳʹǡʹʹ ൨ ݃ܭ ݔൌ Ͳǡ͵ʹ
݉ଷ ֜ ݒ௦ ൌ ͲǡͲʹ͵ͷ ቈ ݃ܭ ܽ݀ܽݎݐ݊ܧሺ݀ܽݎݑݐܽݏݎܽݒሻ݈ܵܽ݅݀ܽ ܲ ൌ ͳሾܾܽݎሿܲ௦ ൌ ͳሾܾܽݎሿ ܲ
ܲ௦ ݄௦
ܬܭ ݄ ൌ ݄௦ ൌ ʹͷǡ͵͵ ൨ ݃ܭ ݉ଷ ݒ௦ ൌ Ͳǡʹ͵ͺ ቈ ݃ܭ
c #, 2 (),! &() !, /! 6 ' 2% ݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ
ܲ ൌ ͳͶሾܾܽݎሿܲ௦ ൌ ʹǡͶሾܾܽݎሿ ܶ ൌ ͶͺሾԨሿ
ܲ ܶ
ܲ௦ ݄௦
ܬܭ ݄ ൌ ݄௦ ൌ ͳͳͺǡ͵ͷ ൨ ݃ܭ ݔൌ Ͳǡ͵
݉ଷ ֜ ݒ௦ ൌ ͲǡͲ͵ͳ͵Ͷ ቈ ݃ܭ ܽ݀ܽݎݐ݊ܧሺ݀ܽݎݑݐܽݏݎܽݒሻ݈ܵܽ݅݀ܽ ܲ ൌ ͳሾܾܽݎሿܲ௦ ൌ ͳሾܾܽݎሿ ܲ
ܲ௦ ݄௦
ܬܭ ݄ ൌ ݄௦ ൌ ʹͲǡͻͻ ൨ ݃ܭ ݉ଷ ݒ௦ ൌ Ͳǡͳͳͷͷͻ ቈ ݃ܭ
c " = $ 2 ; 3 > 2 !3, "= 0=" = ' () # " . $ 2 9& '$ " "& % () # " c & ' ë ë # % & '(
ܲଵ ൌ ͶͲሾܾܽݎሿܲଶ ൌ ͳͲͲሾܾܽݎሿ ՜ ͶͲሾܾܽݎሿܲ௦ ൌ ͳͲሾܾܽݎሿ ܶଵ ൌ െͳͲሾԬሿܶଶ ൌ ʹͲͲሾι ܨሿ
݉ሶଵ ൌ ͳ ቂ
௦
ቃ
݄ଵ ൌ ͺǡͷ ቂ
ܲଵ ܶଵ
௧௨
݄ଶ ൌ ͳͶʹǡͶͷ ቂ
ܲଶ ܶଶ
ቃ
௧௨
ቃ
ܲ௦ '( ݄௦ ൌ ʹͲǡͷ ቂ
௧௨
ቃݒ௦ ൌ ͲǡͲͳʹ͵ʹ ቂ
௧ య
ቃ
! "# ݉ሶଵ ݉ሶଶ ൌ ݉ሶ௦ ! ë $ ܳሶ െ ܹሶ ݉ሶ ሺ݄ ܿܧ ݃ܧሻ ൌ ݉ሶ௦ ሺ݄ ܿܧ ݃ܧሻ௦
͵
௦
݈ܾ݉ ݑݐܤ ݑݐܤ ݈ܾ݉ ݑݐܤ ݑݐܤ ൨ ͳ ൨ כͺǡͷ ൨ ݉ሶଶ ͳ כͶʹǡͶͷ ൨ ൌ ൬ͳ ൨ ݉ሶଶ ൰ Ͳʹ כǡͷ ൨ ݃݁ݏ ݈ܾ݉ ݈ܾ݉ ݃݁ݏ ݈ܾ݉ ݃݁ݏ ֜ ݉ሶଶ ൌ ͲǡͲ͵
݈ܾ݉ ൨ ݃݁ݏ
݉ሶ௦ ൌ ݉ሶଵ ݉ሶଶ ൌ ͳǡͲ͵
݈ܾ݉ ൨ ݃݁ݏ
ߨ כሺͲǡͳʹͷଶ ሻሾ݂ ݐଶ ሿ ܸ כ௦ ܣ௦ ܸ כ௦ ݈ܾ݉ Ͷ ՜ ݉ሶ௦ ൌ ֜ ͳǡͲ͵ ൨ൌ ݂ ݐଷ ݒ௦ ݃݁ݏ ൨ ͲǡͲͳʹ͵ʹ ݈ܾ݉ ݂ݐ ֜ ܸ௦ ൌ ͳͲǡ ൨ ݃݁ݏ
c 7 / ! $ = / 3 / , ! " " / $ / &c2&2&c2,& 2!&! ! " +' () / & () &, ݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ Ͳሾ݃݅ݏሿ ൌ Ͷǡሾܽ݅ݏሿܲ௦ ൌ ͳͶǡሾܽ݅ݏሿ
ܶ ൌ ͳͲͲሾԬሿܶ௦ ൌ ͳͲͲሾԬሿ
݀ ൌ ʹሾ݅݊ሿ ൌ Ͳǡͳሾ݂ݐሿ݀௦ ൌ ሾ݅݊ሿ ൌ Ͳǡͷሾ݂ݐሿ
݂ ݐଷ ݂ ݐଷ ሶൌ ͷͲ ቈ ൌ Ͳǡͳ ቈ ݄ݎ ݃݁ݏ ݈ܾ݉ ൌ ͷ͵ǡͲͶ ଷ ൨ ݂ݐ
݃ ൌ ͵ʹǡʹ
݂ݐ ൨ ݃݁ݏଶ
οܼ ൌ ʹǤͲͲͲሾ݂ݐሿ
ሶൌ ܣ ܸ כ ൌ ܣ௦ ܸ כ௦
݂ ݐଷ Ͳǡͳ ݃݁ݏ൨
݂ݐ ֜ ܸ ൌ ߨ ൌ ǡͲͷ ൨ ݃݁ݏ ሺͲǡͳଶ ሻሾ݂ ݐଶ ሿ כ Ͷ ݂ ݐଷ Ͳǡͳ ݃݁ݏ൨
݂ݐ ֜ ܸ௦ ൌ ߨ ൌ Ͳǡͺͳ ൨ ݃݁ݏ כሺͲǡͷଶ ሻሾ݂ ݐଶ ሿ Ͷ
ൌ
οܲ ͳ כ൫ܸ௦ ଶ െ ܸ ଶ ൯ ݃ כοܼ ʹ
ͳͶǡሾܽ݅ݏሿ െ Ͷǡሾܽ݅ݏሿ ͳ ݂ݐ ݂ ݐଶ ଶ ଶ ൌ ͵ʹǡʹ כሺͲǡͺͳ െ ǡͲͷ ሻ ቈ ൨ ʹ כǤͲͲͲሾ݂ݐሿ ݈ܾ݉ ݃݁ݏଶ ʹ ݃݁ݏଶ ͷ͵ǡͲͶ ଷ ൨ ݂ݐ ݂ ݐଶ כ ൌ ͷͻǤͳ͵Ͷǡͷ ቈ ݃݁ݏଶ
՜ ݉ሶ ൌ כ ܸ כ ܣൌ
గ ସ
֜ ൌ ʹǡ͵
כሺͲǡͷଶ ሻሾ݂ ݐଶ ሿ Ͳ כǡͺͳ ቂ
֜ ܹሶ ൌ ݉ כሶ ൌ ʹǡ͵
ݑݐܤ ሾݑݐܤሿ ൌ ʹǡ͵ ൨ ݈ܾ݉ ݐ݂ כଶ ݈ܾ݉ ൨ ʹͷǤͲ͵ǡͷ ݃݁ݏଶ
௧
௦
ݑݐܤ ൨ ݈ܾ݉
ቃ כͷ͵ǡͲͶ ቂ
௧ య
ቃ ൌ ͺǡͶͶ ቂ
௦
ቃ ൌ ͵ͲǤ͵ͺͶ ቂ
݈ܾ݉ ሾ݄ሿ ݑݐܤ ൨ Ͳ͵ כǤ͵ͺͶ ൨כ ൌ ʹͺǡͳͺሾ݄ሿ ݑݐܤ ݄ݎ ݈ܾ݉ ቃ ʹǤͷͶͷ ቂ ݄ݎ
ቃ
c 0 6 ! ' / " $ 0 3 " $ " # ?2! !& 6 () , & () "
c ! & !@<& &c&& c + ' & / " +'()$ & %8%& () $ %8& () $ $ $ %8 ʹ݀ܽݐݏܧͳ݀ܽݐݏܧ
ܲଵ ൌ ͳͶͲሾܾܽݎሿܲଶ ൌ ͲǡͲሾܾܽݎሿ
ܶଵ ൌ ͷͲሾԨሿ ݔൌ ͳͲͲሾԬሿ
͵݀ܽݐݏܧሺ݈À݀ܽݎݑݐܽݏ݀݅ݑሻ݀ܽݐݏܧͶ
ܲଷ ൌ ͲǡͲሾܾܽݎሿܲସ ൌ ͳͶͲሾܾܽݎሿ ܲଵ ܶଵ ܲଶ ݔ
݄ଵ ൌ ͵ǤͶͺ ቂ ቃ
݄ଶ ൌ ʹǤʹͲͷ ቂ ቃ
ܲଷ ǡ ݈݄݅ ݀ܽݎݑݐܽݏ݀݅ݑଷ ൌ ͳͷͳǡ͵͵ ቂ ቃ ݒൌ ͳǡͲͲͶ ିͲͳ כଷ ቂ െ ൌ ο݄ ֜ ൌ ݄ଵ െ ݄ଶ ൌ ͵ǤͶͺ
! )െ ൌ ο݄
య
ቃ
ܬܭ ܬܭ ܬܭ ൨ െ ʹǤʹͲͷ ൨ ൌ ͳǤʹͺͳ ൨ ݃ܭ ݃ܭ ݃ܭ
݉ଷ ܬܭ ͳͲଶ ሾܽܲܭሿ ՜ ο݄ ൌ כ ݒοܲ ൌ ͳǡͲͲͶ ିͲͳ כଷ ቈ כሺͳͶͲ െ ͲǡͲሻሾܾܽݎሿ כ ൌ ͳͶ ൨ ݃ܭ ݃ܭ ሾܾܽݎሿ ֜ െ ൌ ͳͶ
ܬܭ ܬܭ ൨ ՜ ൌ ͳͶ ൨ ݃ܭ ݃ܭ
ܬܭ ܬܭ ܬܭ ՜ ݄ସ ൌ ݄ଷ ൌ ͳͷͳǡ͵͵ ൨ ͳͶ ൨ ൌ ͳͷǡ͵͵ ൨ ݃ܭ ݃ܭ ݃ܭ
ë ݉ሶ ൌ ë
ܹሶ ʹͲǤͲͲͲሾ ܹܭሿ ݃ܭ ൌ ൌ ͳͷǡ ൨ ܬܭ ݃݁ݏ ͳǤʹͺͳ ൨ ݃ܭ
ܬܭ ൌ ݄ଵ െ ݄ସ ൌ ͵Ǥ͵ʹͲǡ ൨ ݃ܭ ܳሶ ൌ ݉ כሶ ൌ ͷͳǤͺͲʹǡͷሾ ܹܭሿ
ܳሶ ൌ Ͳǡ͵ͺ ֜ ͵ͺΨ ݉ሶ
c 2 7 /& $ %8& 2& " %A*%Ac ' +'() %<& () $
ͳ݀ܽݐݏܧሺ݀ܽݎݑݐܽݏݎܽݒሻʹ݀ܽݐݏܧ ܲଵ ൌ ͳͲሾܽܲܭሿ ൌ ͳǡሾܾܽݎሿܲଶ ൌ ͻͲͲሾܽܲܭሿ ൌ ͻሾܾܽݎሿ
ܶଶ ൌ ͳͲͲሾԬሿ
͵݀ܽݐݏܧሺ݈À݀ܽݎݑݐܽݏ݀݅ݑሻ݀ܽݐݏܧͶ
ܲଷ ൌ ͻሾܾܽݎሿܲସ ൌ ͳǡሾܾܽݎሿ ܳሶ ൌ െͳ
ܬܭ ൨ ݃݁ݏ
ܲଵ ݈݅ ݀ܽݎݑݐܽݏ݀݅ݑ
݄ଵ ൌ ʹ͵ǡͻ ቂ ቃ
݄ଶ ൌ ʹͺʹǡ͵Ͷ ቂ ቃ
ܲଶ ܶଶ
ܲଷ ǡ ݈݄݅ ݀ܽݎݑݐܽݏ݀݅ݑଷ ൌ ͻͻǡͷ ቂ ቃ
ܬܭ ܬܭ ܬܭ ൌ ݄ଷ െ ݄ଶ ൌ ͻͻǡͷ ൨ െ ʹͺʹǡ͵Ͷ ൨ ൌ െͳͺʹǡͺ ൨ ݃ܭ ݃ܭ ݃ܭ ܬܭ ൨ െͳ ܳሶ ݃ܭ ݃݁ݏ ՜ ݉ሶ ൌ ൌ ൌ ͲǡͲͺͷ ൨ െͳͺʹǡͺ ܬܭ൨ ݃݁ݏ ݃ܭ
)
ܬܭ ܬܭ ܬܭ ൌ ݄ଵ െ ݄ଶ ൌ ʹ͵ǡͻ ൨ െ ʹͺʹǡ͵Ͷ ൨ ൌ െͶͶǡ͵ ൨ ݃ܭ ݃ܭ ݃ܭ
֜ ܹሶ ൌ ݉ כሶ ൌ െͶͶǡ͵ ቂ ቃ Ͳ כǡͲͺͷ ቂ ቃ ൌ െ͵ǡͺͺሾ ܹܭሿ ՜ ܹሶ௦ ൌ ͵ǡͺͺሾ ܹܭሿ ௦
ܬܭ ൨ െͳ ܳሶ ݃݁ݏ ൌ ൌ Ͷǡͳʹ െ͵ǡͺͺሾ ܹܭሿ ܹሶ
c 2c & !&1 /& = ,6 ,' / # %<& ' $ .' &%8
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧ ܲ ൌ ͶͲሾܾܽݎሿܲ௦ ൌ ͲǡͲͺሾܾܽݎሿ
ܶ ൌ ͶͶͲሾԨሿ ݔൌ Ͳǡͺʹ ܲ ܶ
݄ ൌ ͵Ǥ͵Ͳǡͳ ቂ ቃ
ܲ௦ ݔ
݄௦ ൌ ʹǤͳͳǡʹ ቂ ቃ
ܬܭ ܬܭ ܬܭ ൌ ݄ െ ݄௦ ൌ ͵Ǥ͵Ͳǡͳ ൨ െ ʹǤͳͳǡʹ ൨ ൌ ͳǤͳͶͷǡͺͶ ൨ ݃ܭ ݃ܭ ݃ܭ ܬܭ ൨ ͳͲǤͲͲͲ ܹሶ ݃ܭ ݃݁ݏ ՜ ݉ሶ ൌ ൌ ൌ ͺǡ͵ ൨ ͳǤͳͶͷǡͺͶ ܬܭ൨ ݃݁ݏ ݃ܭ
)
݈ܽ݀݅ܽܵܽ݀ܽݎݐ݊ܧሺ݈À݀ܽݎݑݐܽݏ݀݅ݑሻ ܲ ൌ ͲǡͲͺሾܾܽݎሿܲ௦ ൌ ͲǡͲͺሾܾܽݎሿ
ݔൌ Ͳǡͺʹ ܲ ܶ
݄ ൌ ʹǤͳͳǡʹ ቂ ቃ
݄௦ ൌ ͳ͵ǡͺͺ ቂ ቃ
ܲ௦ ݈݅ ݀ܽݎݑݐܽݏ݀݅ݑ
ܬܭ ܬܭ ܬܭ ൌ ݄௦ െ ݄ ൌ ͳ͵ǡͺͺ ൨ െ ʹǤͳͳǡʹ ൨ ൌ െͳǤͻͺǡ͵ͺ ൨ ݃ܭ ݃ܭ ݃ܭ
݃ܭͲሾ݃݁ݏሿ ݃ܭ ܬܭ ൨כ ൌ െͳǡͲͶͳ Ͳͳ כ ൨ ՜ ܳሶ ൌ ݉ כሶ ൌ െͳǤͻͺǡ͵ͺ ൨ כͺǡ͵ ݃݁ݏ ሾ݉݅݊ሿ ݉݅݊ ݃ܭ ֜ ܳሶ௫௧
Àௗ
ൌ ͳǡͲͶͳ Ͳͳ כ
݃ܭ ൨ ݉݅݊
c ! 7 / ' ' # / &@A!, / = & @A () 6 / () , / &c @A ! +' ' ë ë
ܲ ൌ ͲǡͳሾܽܲܯሿͲܲଶ ൌ ͳͲሾܾܽݎሿ ܶ ൌ ʹͲሾԨሿ ൌ ʹͻ͵ሾιܭሿͲ ܶ
݄ ൌ ʹͻ͵ǡͳ ቂ ቃ
! "#
݉ ൌ ݉ଶ െ ݉ଵ
! ë $
οܷ ൌ ݉ଶ ݑଶ െ ݉ଵ ݑଵ ൌ ሺ݉ଶ െ ݉ଵ ሻ ݄ כ
ݑଶ
ܬܭ ֜ ݑଶ ൌ ݄ ൌ ʹͻ͵ǡͳ ൨ ݃ܭ
ܶଶ ൌ ͶͲͻǡͶሾιܭሿ ൌ ͳ͵ǡ͵ሾԨሿ
c 1 A ' 2 B0 A B0 ' / !& 2 / & / " / ' / , / = ! / 2 +' & B0 . 2*1%8 ' ë ë
ܲ ൌ ͵Ͳሾܾܽݎሿܲଵ ൌ ͳሾܾܽݎሿܲଶ ൌ ʹͲሾܾܽݎሿ ܶ ܶଶ ൌ ͵ͲሾԨሿ
ܳ ൌ ͵ͻሾܬܭሿ ൌ ʹሾ݉ଷ ሿ
ܲଵ ݑ ݀ܽݎݑݐܽݏݎܽݒଵ ൌ ʹǤͷͲǡͳ ቂ ቃ
݉ଷ ൌ ͳǡͳͺሾ݃ܭሿ ݒଵ ൌ ͳǡͻͶ ቈ ֜ ݉ଵ ൌ ݃ܭ ݒଵ
ܲଶ ܶଶ ݑଶ ൌ ʹǤͺ ቂ ቃ
݉ଷ ݒଶ ൌ ͲǡͳͶͳͳ ቈ ֜ ݉ଶ ൌ ൌ ͳͶǡͳሾ݃ܭሿ ݒଶ ݃ܭ
! "#
! ë $
݉ ൌ ݉ଶ െ ݉ଵ ൌ ͳʹǡͻͻሾ݃ܭሿ οܷ ൌ ݉ଶ ݑଶ െ ݉ଵ ݑଵ ൌ ܳ ݉ ݄ כ ܬܭ ֜ ݄ ൌ ʹǤͻͶͳǡ͵ ൨ ݃ܭ
ܲ ݄ ܶ ൌ ʹͺͲሾԨሿ
c c 7 / ' ' # / 1 3 , /= ()6 / & 3,, () , / &c13 +' ' ë ë
ܲ ൌ ͳሾܽ݉ݐሿͲܲଶ ൌ ͳሾܽ݉ݐሿ ܶ ൌ ͲሾԬሿ ൌ ͷ͵ͲሾιܴሿͲ ܶ
݄ ൌ ͳʹǡͷʹ ቂ
௧௨
ቃ
! "#
݉ ൌ ݉ଶ െ ݉ଵ
! ë $
οܷ ൌ ݉ଶ ݑଶ െ ݉ଵ ݑଵ ൌ ሺ݉ଶ െ ݉ଵ ሻ ݄ כ
ݑଶ
ݑݐܤ ൨ ֜ ݑଶ ൌ ݄ ൌ ͳʹǡͷʹ ݈ܾ݉
ܶଶ ൌ ͶͲሾιܴሿ ൌ ʹͺͲሾԬሿ
c c* 7 / 2 3 # $ 9 " " $ +'() / & 3,,&() / / & &1 = ൌ ͳͲͲሾ݂ ݐଷ ሿ
ܲ
ൌ ͳͲͲሾܽ݅ݏሿ
ൌ ͳͲͲሾԬሿ ൌ ͷͲሾιܴሿ
ܶ
݉ሶ௦
ൌ ͲǡͲ
ܳሶ௧ ൌ
ݑݐܤ ൨ ݃݁ݏ
݈ܾ݉ ൨ ݃݁ݏ
ܳሶ௧ ൌ ݉ሶ௦ ՜
݄ כ
݈ܾ݉ ݑݐܤ ݑݐܤ ൨ ൌ ͲǡͲ ൨ ݄ ֜ ݄ כൌ ͳͲͲ ൨ ݃݁ݏ ݈ܾ݉ ݃݁ݏ
݄
ܶ ൌ ͶʹͲሾιܴሿ ൌ െͶͲሾԬሿ
ëë ͳͲͲሾܽ݅ݏሿ ͲͲͳ כሾ݂ ݐଷ ሿ ൌ
ೌ
್ ቃ ଶ଼ǡଽቂ ್
֜ ݉
Ͳͳ כǡ͵ ቂ
௦ כ௧ య
כιோ
ൌ Ͷͺǡʹͳሾ݈ܾ݉ሿ
*) ݉
ൌ ݉ െ ݉ሶ௦
כͶʹͲሾ݃݁ݏሿ ൌ Ͷͺǡʹͳሾ݈ܾ݉ሿ െ ͲǡͲ
ܶ ݄
ൌ ͳ͵͵ǡͺ ቂ
௧௨
ቃ
ቃ כͷͲሾιܴሿ
݈ܾ݉ ൨ כͶʹͲሾ݃݁ݏሿ ൌ ʹ͵ǡͲͳሾ݈ܾ݉ሿ ݃݁ݏ
ܳሶ௧ כͶʹͲሾ݃݁ݏሿ ൌ ݂݈݉݅݊ܽ ݄ כ െ ݈݉݅݊݅ܿ݅ܽ ݄ כ ՜
ݑݐܤ ൨ כͶʹͲሾ݃݁ݏሿ ൌ ʹ͵ǡͲͳሾ݈ܾ݉ሿ ݄ כ ݃݁ݏ ֜ ݄
݄ ܶ
ݑݐܤ െ Ͷͺǡʹͳሾ݈ܾ݉ሿ ͵͵ͳ כǡͺ ൨ ݈ܾ݉
ݑݐܤ ൌ ͵ͺͻǡͻͺ ൨ ݈ܾ݉
ൌ ͳ͵͵ǡͺሾιܴሿ
ëë + ܲ ͲͲͳ כሾ݂ ݐଷ ሿ ൌ
ʹ͵ǡͲͳሾ݈ܾ݉ሿ
್ ଶ଼ǡଽቂ ቃ ್
֜ ܲ
Ͳͳ כǡ͵ ቂ
௦ כ௧ య
כιோ
ൌ ͳ͵Ͷǡͷʹሾܽ݅ݏሿ
ቃ ͵͵ͳ כǡͺሾιܴሿ
c 7 $ C / A B " A B # " & " & ,
/= B! D , / & 6= . / BE?B!B ' ë ë
ܲ ܲଵ ܲ ܶ ܶ ܶଶ
ൌ ܸ
! "#
՜ ݉ଵ ൌ
ܲଵ ܸ כ ܲ ܸכ Ǣ݉ଶ ൌ ܴ ܶ כ ܴ ܶ כଶ
! ë $ ֜ቀ
ೌ כ
ோ்כమ
ቁ כሺܶଶ ݒܥ כଶ ሻ െ ቀ
݉ ൌ ݉ଶ െ ݉ଵ
݉ଶ ݑଶ െ ݉ଵ ݑଵ ൌ ሺ݉ଶ െ ݉ଵ ሻ ݄ כ
భ כ
ோೌ்כ
ቁ כሺܶ ݒܥ כሻ ൌ ቀ
֜ ܲ ݒܥ כଶ െ ܲଵ ݒܥ כൌ ܲ כ ܥ כ
்ೌ ்మ
ோ்כమ
െ ܲଵ ܥ כ
֜ ܲ ݒܥ כଶ െ ܲଵ ሺ ݒܥെ ܥሻ ൌ ܲ ೌ כ ܥ כ ֜ ܶோ ൌ
ೌ כ
ቁ כሺܶ ܥ כሻ െ ቀ
்
்మ
ܶଶ ܲ ܥ כ ൌ ܶ ܲ ݒܥ כଶ െ ܲଵ ሺ ݒܥെ ܥሻ
భ כ
ோೌ்כ
ቁ כሺܶ ܥ כሻ
c 1 7 $ / &c 2 2 0 $ c ( ) ' 0& .'
6 F , , .'
c 1 / ' / c & , &c2, / c /. ! 2 # " & '& & =
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