1zz5test3version2

# 1zz5test3version2 - Math 1ZZ5 Test#3(Version 2 Wednesday...

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Math 1ZZ5 Test #3 (Version 2) Wednesday March 3, 2010 Name :___________________________________________ (Last Name) (First Name) Student Number: _____________________ This test consists of 30 multiple choice questions worth 1 mark each (no part marks), and 1 question worth 1 mark on proper computer card filling. Questions must be answered on the COMPUTER CARD with an HB PENCIL. Marks will not be deducted for wrong answers (i.e., there is no penalty for guessing). You are responsible for ensuring that your copy of the test is complete. Bring any discrepancy to the attention of the invigilator. Calculators are NOT allowed. 1. (a) Which of the following integrals represents the area of the shaded region in the figure to the right? ! Î# " 1 % # !! "" ## Î# Î# Ð"  Ñ . Ð"  Ñ . Ð"  Ñ . Ð"  Ñ . Ð"  Ñ . cos cos sin cos sin )) (b) (c) (d) (e)  11 2. (a) Which of the regions in the figure to the right represents the domain of ? Reions I 0ÐBß CÑ œ ÐBCÑ  B  C ln I and V Regions I and IV Regions I, VI, and V Regions II, III, and IV Regions II and (b) (c) (d) (e) x 4 3 2 1 0 1 2 3 4 4 3 2 1 1 2 3 4 IV I VI II V III IV

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3. Find the length of the polar curve . <œ/ ß!Ÿ Ÿ \$ ) )1 (a) (b) (c) (d) (e) "" " " ") * \$ \$ #( \$*' \$ * "! Ð/  "Ñ Ð/  "Ñ Ð/  "Ñ Ð/  "Ñ Ð/  "Ñ 111 1 1 4. Sketch the polar curve . <œ"# cos ) 2 1 0 1 2 2 1 1 2 1.0 0.5 0.5 1.0 3 2 1 1 2 3 (a) (b) 2 1 1 2 4 3 2 1 1 2 3 4 1.0 0 0.5 1.0 1.5 1 2 3 (c) (d) 1 2 3 1.5 1.0 0.5 0.5 1.0 1.5 (e) 5. Find the area of the surface obtained by rotating the curve %Bß "ŸBŸ" ß # about the -axis. B (a) (b) (c) (d) (e) '%)" '" # 1 1
6. Sketch the graph of the function 0ÐBßCÑ œ B C ## -5 y 0 5 -5.0 -2.5 x 0.0 2.5 5.0 0 2 4 6 -5 y 0 5 -5.0 -2.5 x 0.0 2.5 5.0 0.0 0.25 0.5 0.75 1.0 (a) (b) -0.1 y 0.0 0.1 -0.1

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1zz5test3version2 - Math 1ZZ5 Test#3(Version 2 Wednesday...

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