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

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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....
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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.

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

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