math_112_test_1_winter_2011

math_112_test_1_winter_2011 - Math 112 Winter 2011 Exam 1...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 112 Winter 2011 Exam 1 SOLUTIONS Multiple Choice.. 1. The expression 5 ln( x + 1)- 2 ln(4) + 2 ln( x + 7)- 1 2 ln( x ) can be combined into a single logarithm, i.e. ln[ f ( x )]. Find f ( x ). a) f ( x ) = 1 5 x +1 2 2 x +3 b) f ( x ) = ( x + 1) 5 16( x + 7) 2 x c) f ( x ) = 7 x + 19 4 x d) f ( x ) = 5 x +1 2 2 x +3 e) Ans f ( x ) = ( x + 1) 5 ( x + 7) 2 16 x f) None of the above. 2. Find all vertical asymptotes of x 2- 4 x 2- 2 x . a) x = 2 b) Ans x = 0 c) x = 0 , 2 d) x =- 2 , 2 e) x =- 2 , f) x =- 2 , , 2 g) There are none. h) There are infinitely many. i) None of the above. 3. Which of the following functions is odd? a) Ans x 3 + x b) x 3 + 6 x 2 + 9 x c) x x- 1 d) cos( x ) e) More than one is odd. f) None of the above. 4. Find all horizontal asymptotes of f ( x ) = 2 x 2 + 11 x + 12 2 x 2 + x- 3 . a) y = 3 / 2 , 1 b) y = 3 / 2 c) Ans y = 1 d) y = 3 / 2 , 1 ,- 4 e) y = 2 f) y =- 4 g) None of the above. 5. A particle is moving in a straight line so that its distance traveled after t seconds is given by s ( t ) = e t + 1 meters. Find the average velocity of the particle over the time interval [0 , ln(2)]. a) Ans 2 / ln(2) m/s b) 3 m/s c) 3 / ln(2) m/s d) 0 m/s e) ln(2) m/s f) 2 m/s g) e 2- 1 m/s h) 1 / ln(2) m/s i) None of the above. 6. Find c such that f ( x ) = braceleftbigg x 3 + cx + 3 if x 2 4 x + c if x > 2 is continuous everywhere. a) Ans -3 b)-1 c) d) 1 e) 3 f) 2 g) No such c exists. h) None of the above. 7. The graph of f is shown below. What is the equation of the tangent line to the graph at the point (2 , 3)?...
View Full Document

Page1 / 6

math_112_test_1_winter_2011 - Math 112 Winter 2011 Exam 1...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online