{"id":327416,"date":"2011-11-01T14:15:35","date_gmt":"2011-11-01T11:15:35","guid":{"rendered":"http:\/\/localhost\/wordpress\/?p=327416"},"modified":"2011-11-01T14:15:35","modified_gmt":"2011-11-01T11:15:35","slug":"%d8%b1%d9%8a%d8%a7%d8%b6%d9%8a%d8%a7%d8%aa","status":"publish","type":"post","link":"https:\/\/www.satfrequencies.com\/girls\/%d8%b1%d9%8a%d8%a7%d8%b6%d9%8a%d8%a7%d8%aa\/","title":{"rendered":"\u0631\u064a\u0627\u0636\u064a\u0627\u062a"},"content":{"rendered":"
\n


\n: \ud83d\ude1b \u0641\u0631\u0627\u0634\u0627\u062a \u0623\u0646\u0627 \u0637\u0627\u0644\u0628\u0629 \u0641\u064a \u062c\u0627\u0645\u0639\u0629 \u0642\u0637\u0631 \u0643\u0644\u064a\u0629 \u0625\u062f\u0627\u0631\u0629 \u0648\u0627\u0642\u062a\u0635\u0627\u062f \u0628\u0627\u0644\u0627\u0646\u062c\u0644\u064a\u0632\u064a \u0648\u0639\u0646\u062f\u064a \u0645\u0627\u062f\u0629 \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u062f\u0643\u062a\u0648\u0631 \u0639\u0637\u0627\u0646\u0627 Home Quizzes \u0648\u064a\u0628\u064a \u062d\u0644\u0647 \u0641\u064a \u0623\u0633\u0631\u0639 \u0648\u0642\u062a \u0641\u0633\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0639\u062f\u0648\u0646\u064a \u0627\u0644\u0644\u0647 \u064a\u062c\u0632\u064a\u0643\u0645 \u062e\u064a\u0631 \u0641\u064a \u0623\u0633\u0631\u0639 \u0648\u0642\u062a \u0645\u0645\u0643\u0646 \ud83d\ude09<\/p>\n

Take-Home Quizzes<\/p>\n

1) Show that if t is not equal to x and n is a natural number greater than 1, then<\/p>\n

( tn – xn ) \/ ( t- x ) <\/p>\n

= tn-1 + tn-2 x +tn-3 x2 +………………………+ xn-1 <\/p>\n

2) Use part(1) to deduce that the limit of the function<\/p>\n

\u03be(t) = ( tn – xn ) \/ ( t- x ) at the point t = x is equal to n xn-1<\/p>\n

\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640 \u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640 \u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640 \u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640<\/p>\n

\nLet f be the function defined as follows:<\/p>\n

{ 8 \/x ; x \u2265 4<\/p>\n

{ \u221a x ; 1 \u2264 x < 4<\/p>\n

f(x) = { \u221a (- x) ; – 4 < x < 0<\/p>\n

{ 1 \/ 4×2 ; x \u2264 – 4<\/p>\n

a) Graph f and determine its domain and range<\/p>\n

b) Find the value of f , if exists, at each of the following points:<\/p>\n

x = 16 , x = 4 , x = 3 , x = 9\/4 , x=3\/2 , x = 1, x = 9\/8 , x = 4\/9 , x = 0 , x = – 4\/9 , x = -1 , x = -9\/4 , x = -3 , <\/p>\n

x = -4 , x= -5 , x = -6 , x =- 10
\n\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640 \u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640 \u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640 \u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640<\/p>\n

\nFor each of the following cases:<\/p>\n

1. Graph the function f and determine its domain and range<\/p>\n

2. Find, if exists, each of the following values: f(-5) , f(2) , f(3) and f(5)<\/p>\n

Case A<\/p>\n

Let<\/p>\n

{ x – 2 ; x < 1<\/p>\n

f(x) = 3x ; 1 \u2264 x < 3<\/p>\n

{ 2 ; x >3<\/p>\n

Case B<\/p>\n

Let<\/p>\n

{ x + 2 ; x < 1<\/p>\n

f(x) = – x ; 1 < x < 3<\/p>\n

{ 1 ; x \u2265 3<\/p>\n

Case C<\/p>\n

Let<\/p>\n

{ 3x ; x \u2264 1<\/p>\n

f(x) = – 2 ; 1 < x < 3<\/p>\n

{ 2x +4 ; x \u2265 3<\/p>\n

1. Graph the function f and determine its domain and range<\/p>\n

2. Find, if exists, each of the following values: f(-5) , f(2) , f(3) and f(5)<\/p>\n

Case D<\/p>\n

Let<\/p>\n

{ 2 ; x < -1<\/p>\n

f(x) = 2x – 2 ; -1 < x < 1<\/p>\n

{ 2x +4 ; x > 1<\/p>\n

Case E<\/p>\n

Let<\/p>\n

{ 2 x ; x \u2264 -1<\/p>\n

f(x) = 2x – 4 ; -1 < x < 1<\/p>\n

{ 4 ; x \u2265 1<\/p>\n

\n\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640 \u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640 \u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640 \u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640<\/font><\/b>
\n<\/b>\n <\/div>\n","protected":false},"excerpt":{"rendered":"

: \ud83d\ude1b \u0641\u0631\u0627\u0634\u0627\u062a \u0623\u0646\u0627 \u0637\u0627\u0644\u0628\u0629 \u0641\u064a \u062c\u0627\u0645\u0639\u0629 \u0642\u0637\u0631 \u0643\u0644\u064a\u0629 \u0625\u062f\u0627\u0631\u0629 \u0648\u0627\u0642\u062a\u0635\u0627\u062f \u0628\u0627\u0644\u0627\u0646\u062c\u0644\u064a\u0632\u064a \u0648\u0639\u0646\u062f\u064a \u0645\u0627\u062f\u0629 \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u062f\u0643\u062a\u0648\u0631 \u0639\u0637\u0627\u0646\u0627 Home Quizzes \u0648\u064a\u0628\u064a \u062d\u0644\u0647 \u0641\u064a \u0623\u0633\u0631\u0639 \u0648\u0642\u062a \u0641\u0633\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0627\u0639\u062f\u0648\u0646\u064a \u0627\u0644\u0644\u0647 \u064a\u062c\u0632\u064a\u0643\u0645 \u062e\u064a\u0631 \u0641\u064a \u0623\u0633\u0631\u0639 \u0648\u0642\u062a \u0645\u0645\u0643\u0646 \ud83d\ude09 Take-Home Quizzes 1) Show that if t is not equal to x and n is a natural number greater than 1, then …<\/p>\n","protected":false},"author":1480,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[71],"tags":[],"class_list":["post-327416","post","type-post","status-publish","format-standard","","category-71"],"_links":{"self":[{"href":"https:\/\/www.satfrequencies.com\/girls\/wp-json\/wp\/v2\/posts\/327416","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.satfrequencies.com\/girls\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.satfrequencies.com\/girls\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.satfrequencies.com\/girls\/wp-json\/wp\/v2\/users\/1480"}],"replies":[{"embeddable":true,"href":"https:\/\/www.satfrequencies.com\/girls\/wp-json\/wp\/v2\/comments?post=327416"}],"version-history":[{"count":0,"href":"https:\/\/www.satfrequencies.com\/girls\/wp-json\/wp\/v2\/posts\/327416\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.satfrequencies.com\/girls\/wp-json\/wp\/v2\/media?parent=327416"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.satfrequencies.com\/girls\/wp-json\/wp\/v2\/categories?post=327416"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.satfrequencies.com\/girls\/wp-json\/wp\/v2\/tags?post=327416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}