1ZA3 TEST 1 - Math 1ZA3 1st Sample Test #1 Name:_ (Last...

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Math 1ZA3 1st Sample Test #1 Name :___________________________________________ (Last Name) (First Name) Student Number: Tutorial Number: _____________________ ____________________ This test consists of 39 multiple choice questions worth 1 mark each (no part marks), and 1 question worth 1 mark (no part marks) on proper computer card filling. All 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. Which of the following is equal to ? "" " " cos cos )) (a) (b) (c) (d) (e) """ " " " ## tan sin tan ))) csc sec 2. (a) (b) (c) (d) For the function , whose graph is given to the right evaluate 0 0ÐBÑ lim BÄ% " "!∞ d.n.e For the function , whose graph is given to the right (e) 3. (a) ( 0 is continuous from the left at 0B œ % b) (c) is continuous from the right at does not exist œ % 0Ð%Ñ (d) none of the above 4. Express the function in the form . 0‰1‰2 JÐBÑœ Ð BÑ sin ln # (a) 0ÐBÑ œ B ß 1ÐBÑ œ Bß 2ÐBÑ œ B # ln sin (b) 0ÐBÑ œ Bß 1ÐBÑ œ B ß 2ÐBÑ œ B sin ln # (c) 0ÐBÑ œ Bß 1ÐBÑ œ Bß 2ÐBÑ œ B ln sin # (d) 0ÐBÑ œ Bß 1ÐBÑ œ B ß 2ÐBÑ œ B ln sin # (e) 0ÐBÑ œ B ß 1ÐBÑ œ Bß 2ÐBÑ œ B # sin ln 5. If and are continuous functions with and , find . 0 1 1Ð%Ñœ$ œ"# 0Ð%Ñ lim 0ÐBÑ1ÐBÑ 4   # (a) (b) (c) (d) (e) #%')" 6. If , find . csc sin ) œ& ß !  # 1 # (a) (b) (c) (d) (e) " #& & & #% #%  #% #% 7. Suppose that the graph of is given. Write an equation for the graph that is obtained from 0 the graph of by shifting 2 units to the left and then reflecting about the -axis 0C (a) (b) (c) (d) (e) 0ÐB  #Ñ 0ÐB  #Ñ 0ÐB  #Ñ 0ÐB  #Ñ 0ÐBÑ  #
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8. Find the exact value of tan " $ (a) (b) (c) (d) (e) 1111 1 Î$ Î' Î# Î% 9. If , find . 0ÐBÑœB # / 0 Ð"&Ñ # B% " % B ln  (a) (b) (c) (d) (e) !"#$% 10. State the domain of . & "B ln  (a) (b) (c) ÖB l &  B Ÿ "× ÖB l " Ÿ B Ÿ &× ÖB l B Ÿ &× (d) (e) ÖB l #%  B Ÿ "× ÖB l B Ÿ "× 11. (a) (b) (c) (d) (e) 12. Use the graphs of and to the right to evaluate 0 1 Ð0‰1ÑÐ"Ñ %#" Þ &$" Find (angle given in radians) sec & $ 1 (a) (b) (c) (d) (e) ## $$  # # $
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13. Sketch the graph of if if if 2ÐBÑ œ B" B " B " Ÿ B  $ '  B B   $ $ # 14. Simplify the expression . cos sin ÐB Ñ " (a) (b) (c) (d) (e)  "B B B " B # # ## 15. Evaluate lim BÄ# $ BÐB# Ñ (a) (b) (c) (d) (e) $ ∞ ! $ ) 16. Evaluate lim BÄ! # %B $B # (a) (b) (c) (d) (e) d.n.e ! "" " $' " # 17. Solve for : B ln Ð&  "Ñ œ $ B (a) (b) (c) (d) (e) $ && / $ "Î& / " Ð/ "Ñ Ð/ "Ñ ln ln ln ln Ð/  "Ñ / $ $$ & 18. Find all values of in the interval that satisfy the equation )1 ) Ò!ß # Ó # œ " cos # (a) (b) (c) (d) (e) ! ß ß ßßß ß ß 1 1111 11 # %%%% %% $$$$ $&( $ #%( # 1 19. Find a formula for the inverse of the function 0ÐBÑ œ / ÐB$Ñ (a) (b) (c) (d) (e) Ð BÑ  $ Ð BÑ  $ Ð BÑ  $ / Ð BÑ  $ ln ln ln ln B$
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20. Sketch a graph of the function C œ #Ð/  %Ñ  ÐB#Ñ 21. The following limit represents the derivative of some function at some number . State 0+ such an and . lim 2Ä!
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This note was uploaded on 11/08/2011 for the course ECON 1B03 taught by Professor Hannahholmes during the Fall '08 term at McMaster University.

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1ZA3 TEST 1 - Math 1ZA3 1st Sample Test #1 Name:_ (Last...

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