NAME MATH 103 Gateway Exam version a 31 October 2008 100 points Instructions 1 This exam has 4 pages including this one which contain 10 questions Please check that you have all of the pages 2 Please do your work on scratch paper not on this exam 3 When an answer box is given write your answer in the box Nothing outside the answer box will be graded 4 You do not need to simplify your answers 5 You may not use a book notes a calculator or anything except a writing instrument an eraser and scratch paper for this exam 6 There will be no partial credit given You must get 8 out of 10 questions completely correct in order to pass this exam A passing score on this exam will give you 100 points toward your grade for this course 7 You have 50 minutes to complete this exam CORRECT Question 1 Select all intervals for which 4y 11 9 is true 1 2 5 INCORRECT 1 2 1 2 5 1 2 5 CORRECT Question 2 Given the graph of y f x below select all intervals on which the function is decreasing INCORRECT 4 0 5 2 2 4 5 0 Page 1 CORRECT Question 3 What are cos sin and cot INCORRECT ANSWER CORRECT Question 4 Find the equation for the secant line of y 3x from 0 1 to 2 9 ANSWER INCORRECT CORRECT Question 5 Solve the equation F m V V0 for t t a None of the others INCORRECT CORRECT INCORRECT b F m V V0 c Fm V V0 d V V0 Fm e m V V0 F Question 6 What is tan 2 3 a 3 3 b 3 c 3 3 d None of these e 3 Page 2 CORRECT Question 7 Match the following graphs with their formulas INCORRECT 1 ln x 3 2 2 3x 3 x 2 x 1 2 4 2x 1 CORRECT Question 8 Given the graph of y f x below select the graph of y f x 1 INCORRECT a b c d e None of the others Page 3 CORRECT Question 9 Which of the following graphs best represents y 21 cos x INCORRECT CORRECT a b c d Question 10 Find the solution s to the equation log x 5 log x 2 log 14x ANSWER INCORRECT Page 4 NAME MATH 103 Gateway Exam version b 31 October 2008 100 points Instructions 1 This exam has 4 pages including this one which contain 10 questions Please check that you have all of the pages 2 Please do your work on scratch paper not on this exam 3 When an answer box is given write your answer in the box Nothing outside the answer box will be graded 4 You do not need to simplify your answers 5 You may not use a book notes a calculator or anything except a writing instrument an eraser and scratch paper for this exam 6 There will be no partial credit given You must get 8 out of 10 questions completely correct in order to pass this exam A passing score on this exam will give you 100 points toward your grade for this course 7 You have 50 minutes to complete this exam CORRECT Question 1 Solve the equation 1 1 1 for R R R1 R2 a R1 R2 INCORRECT b 1 R1 R2 R1 R2 2 R1 R2 d R1 R2 c e R1 R2 R1 R2 Page 5 CORRECT Question 2 Which of the following graphs best represents y 3 sin 2x INCORRECT CORRECT a b c d Question 3 Match the following graphs with their formulas INCORRECT 1 2 x 1 2 4 2 sin 2x x 2 3 x 1 4 x 1 3 CORRECT Question 4 Given the graph of y f x below what is the range of the function INCORRECT a b c d e 10 8 10 8 8 12 12 Page 6 CORRECT Question 5 Select all intervals for which x2 4x 12 0 is true 2 6 INCORRECT 2 2 6 6 2 CORRECT Question 6 Which one of the following is true 43 INCORRECT 27 a a a 43 sin 27 b a 43 cos 63 c a 43 sec 63 43 sin 27 43 e a csc 63 d a CORRECT 2 Question 7 Find the solution s to the equation ln x 3 ln 2 ln x ANSWER INCORRECT CORRECT Question 8 Find the equation for the secant line of y 8 x from 1 8 to 4 16 ANSWER INCORRECT Page 7 CORRECT Question 9 Given the graph of y f x below select the graph of y f x 5 INCORRECT a b c d e CORRECT None of the others Question 10 What is sin 4 ANSWER INCORRECT Page 8 NAME MATH 103 Gateway Exam version c 31 October 2008 100 points Instructions 1 This exam has 4 pages including this one which contain 10 questions Please check that you have all of the pages 2 Please do your work on scratch paper not on this exam 3 When an answer box is given write your answer in the box Nothing outside the answer box will be graded 4 You do not need to simplify your answers 5 You may not use a book notes a calculator or anything except a writing instrument an eraser and scratch paper for this exam 6 There will be no partial credit given You must get 8 out of 10 questions completely correct in order to pass this exam A passing score on this exam will give you 100 points toward your grade for this course 7 You have 50 minutes to complete this exam CORRECT Question 1 Select all intervals for which 4x 5 1 3x is true 4 7 INCORRECT 4 7 4 7 4 7 4 7 Page 9 CORRECT Question 2 Given the graph of y f x below select the graph of y f x 1 INCORRECT a b c d e CORRECT None of the others Question 3 Solve the equation ln 3x ln 3 ln x 3 for x ANSWER INCORRECT CORRECT Question 4 Which of the following graphs best represents y cos 2 x INCORRECT a b c d Page 10 CORRECT INCORRECT CORRECT Question 5 What is tan 2 3 a None of these b 3 3 c 3 d 3 e 3 3 Question 6 If is an acute angle and tan 7 3 then what are cos sin and csc Hint Draw and label an appropriate triangle ANSWER INCORRECT CORRECT Question 7 Solve the equation E 21 mv 2 mgh for m a None of the others INCORRECT b 1 2 2v E gh c E 12 v 2 gh CORRECT d E gh 1 2 2v e 2E v 2 gh Question 8 Find the equation for the secant line of y log x from 1 0 to 10 1 ANSWER INCORRECT Page 11 CORRECT Question 9 Given the graph of y f x below select all intervals on which the function is increasing INCORRECT 2 6 …