141ex1samA

# 141ex1samA - MATH 141 141E 141H EXAM I SAMPLE A 1 Let f x =...

This preview shows pages 1–2. Sign up to view the full content.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH 141, 141E, 141H EXAM I SAMPLE A 1. Let f ( x ) = 4 x + cos πx . Find ( f- 1 ) (3). a) 1 4 b) 1 4- π c) 4- π d) 1 12 e) Cannot be determined 2. Evaluate the integral Z e 2 e 2ln x x dx . a) 4 b) 1 c) e 2 d) 3 e) e 4- e 2 3. Given that a,b > 0 and a 6 = b , evaluate lim x →∞ [ln(3+ ax )- ln(2+ bx )] . a) 0 b) ln a b c) ln 3 2 d) ∞ e)-∞ 4. Differentiate the function y = ln(sin(ln x )). a) 1 x sin(ln x ) b) cot(ln x ) x c) cot x + 1 x ln x d) 1 sin(ln x ) e) cot(ln x ) 5. Which of the statements below is/are true? (i) lim x →-∞ tan- 1 x =- π 2 (ii) cos(tan- 1 x ) = 1 √ x 2 + 1 (iii) s a) i only b) ii and iii only c) i and ii only d) None of the statements are true. e) All of the statements are true. 6. Find f ( x ), given f ( x ) = arcsin(cos(2 x )). ≤ x ≤ π 2 a)- 2 sin(2 x ) b)- 2tan(2 x ) c) 2 d)- 2 e)- 2 sin 2 (2 x ) 7. Evaluate the integral Z 5 x x + 10 dx . a) 25 4 b) 5 + 10ln5 c) 10- 5ln10 d) 5- 10ln5 e) 5 + 10ln 2 3 8. Evaluate the integral Z ln 2 e x √...
View Full Document

## This note was uploaded on 02/15/2010 for the course PHYS 211 taught by Professor Staff during the Spring '08 term at Penn State.

### Page1 / 2

141ex1samA - MATH 141 141E 141H EXAM I SAMPLE A 1 Let f x =...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online