Drill 8-solutions

# Drill 8-solutions - to (aqt73) – Drill 8 – seckin –...

This preview shows pages 1–3. 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: to (aqt73) – Drill 8 – seckin – (54330) 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Find the fundamental period of f when f ( x ) = 2 cos(3 x ) . 1. fundamental period = 2 3 π correct 2. fundamental period = 3 π 3. fundamental period = 3 2 4. fundamental period = 2 3 5. fundamental period = 3 2 π 6. fundamental period = 3 Explanation: Since cos x has fundamental period 2 π , f has 3 cycles in any interval of length 2 π . Con- sequently, f has fundamental period = 2 3 π . 002 10.0 points When 1 2 3- 1- 2- 3- 1- 2- 3 is the graph of y = a + b cos mx, ( m > 0) , on [- 4 , 4], what is b ? 1. b =- 4 2. b = 2 correct 3. b =- 2 4. b = 7 4 5. b = 4 Explanation: As 1 2 3- 1- 2- 3- 1- 2- 3 shows, the given graph is that of y =- 3 2 + 2 cos πx , in other words, the graph of y = 2 cos πx shifted vertically by a term y =- 3 2 . Thus b is given by b = 2 . keywords: trig graph, trig function, cos func- tion, amplitude, phase shift, vertical shift, 003 (part 1 of 2) 10.0 points Consider y =- 1 5 cos 3 x a) Find the period. 1. 2 3 π correct to (aqt73) – Drill 8 – seckin – (54330) 2 2. π 6 3. 5 4. π 3 5. 3 6. none of these Explanation: The period of the function y ( x ) is T = 2 π 3 = 2 3 π . 004 (part 2 of 2) 10.0 points b) Find the amplitude....
View Full Document

## This note was uploaded on 06/14/2011 for the course MATH 305G taught by Professor Cathy during the Spring '11 term at University of Texas.

### Page1 / 5

Drill 8-solutions - to (aqt73) – Drill 8 – seckin –...

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

View Full Document
Ask a homework question - tutors are online