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TT2WF11SOLN - MATH 1080 F11 TERM TEST II SOLUTION WHITE...

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MATH 1080 F11 TERM TEST II SOLUTION WHITE PAGE 1 Page 1 PART I Each question in this part has exactly one correct answer. Remember CIRCLE your answer on this questionnaire and clearly indicate your answer on the computer score card. 1. If the size of a certain population at generation is given by 8 œ "!" 2 TÐ"!"Ñ œ "!!!  Ð&  8 œ " "!! then the numerical value of is TÐ"!"Ñ (A) (B) (D) (E) ""ß %!! ""ß &!! ""ß '!! ""ß (!! ""ß )!! (C) SOLUTION T Ð"!"Ñ œ "!!!  Ð&  #8Ñ œ "!!!  &  # 8 œ "!!!  &Ð"!!Ñ  # 8 œ " 8 œ " 8 œ " "!! "!! "!! Ð"!!ÑÐ"!"Ñ # T Ð"!"Ñ œ "!!!  &!!  "!"!! œ ""ß '!! (C) 2. In an experiment, the residual amount of a drug in the patient's system at the end of the th dosage period was found to be ( ) . Then (30) 8 VÐ8Ñ œ * / V œ 8 3 3œ" !Þ' (A) ( ) (C) ( ) * * / * / "  Ð/ Ñ "  Ð/ Ñ "  Ð/ Ñ "  / "  / "  / !Þ' $! !Þ' $! !Þ' $" !Þ' !Þ' !Þ' !Þ' !Þ' (B) Ð !Þ' !Þ' !Þ' D) ( ) (E) * / "  Ð/ Ñ */ 8 "  / "  / !Þ' !Þ' SOLUTION ( ) )( ) ( ) VÐ$!Ñ œ * / œ Ð*/ / œ * / $! $! 3 3" "  Ð/ Ñ "  / 3œ" 3œ" !Þ' $! !Þ' !Þ' !Þ' !Þ' !Þ' (B) 3. lim equals Bp% ""#B  $ B% (A) + (B) (C) (E) 1 1 #  # $ $ $ $ (D) SOLUTION lim lim Bp% Bp% ""  #B $ ""  #B $ ""  #B $ B  % B  % œ ""  #B $  ! ! lim lim œ œ Bp% Bp% ""  #B $ B  %ÑÐ ""  #B $ Ñ B  %ÑÐ ""  #B Ñ  #B  $ # # Ð Ð "" $ lim lim œ œ Bp% Bp% )  #B B  %ÑÐ ""  #B  $ Ñ ÐB%ÑÐ ""  #B  $ Ñ #ÐB %Ñ " " Ð lim lim (D) œ œ œ Bp% # # " ""  #B  $ Bp$ # $ $
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