140Bquiz2c - i a = 4 ii b = 1 3 iii k = 2 A i only B i and...

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1 MATH 140B QUIZ#2 Due: Monday Sept 10, 2007 [ 2 ] 1. Which of the following 3 statements are true? i) sin(7 π/ 6) = 1 / 2 . ii) tan(4 π/ 3) = 3 . iii) sec(2 π/ 3) = - 2 . A) ii) only B) iii) only C) i) and iii) only D) ii) and iii) only E) All 3 statements are true. [ 2 ] 2. Concerning the function y = 4sin( πt/ 2) - 3 , which of the following 3 statements are true? i) The maximum y -value is 4. ii) The frequency is 4. iii) The mid-line is y = 1 . A) i) only B) ii) only C) iii) only D) i) and ii) only E) None of the 3 statements are true. [ 2 ] 3. Find all solutions to the equation 2sin( t + π/ 3) = - 3 . A) All t of the form 4 π/ 3 + 2 nπ, for any integer n. B) All t of the form π + 2 nπ, for any integer n. C) All t of the form π +2 nπ, together with those of the form 4 π/ 3+2 nπ, for any integer n. D) All t of the form π +2 nπ, together iwth those of the form 2 π/ 3+2 nπ, for any integer n. E) None of these listed answers is correct.
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2 [ 2 ] 4. Model the graph below using a function y = a cos( bt ) + k, for certain constants a, b and k. Minus 6 Π Minus 5 Π Minus 4 Π Minus 3 Π Minus 2 Π MinusΠ Π 2 Π 3 Π 4 Π 5 Π 6 Π Minus 6 Minus 4 Minus 2 2 Which of the following 3 statements are true?
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Unformatted text preview: i) a = 4 ii) b = 1 / 3 iii) k = 2 A) i) only B) i) and ii) only C) i) and iii) only D) ii) and iii) only E) All 3 statements are true. [ 2 ] 5. The amount of air inhaled and exhaled (assume constant) by a person is called the tidal volume. The maximum possible tidal volume is called the vital capacity. The lungs are never completely drained. The minimum volume in the lungs is called the residual volume. Suppose a woman takes a breath every 2 seconds. Her tidal volume is 3400 mL, and her resid-ual volume is 1100 mL. Express the volume of her lungs using the model V ( t ) = a cos( bt )+ k where time 0 corresponds to the lungs at their largest capacity. Which of the following 3 statements are true? i) a = 1700 ii) b = π/ 4 iii) k = 1100 A) i) only B) ii) only C) i) and ii) only D) i) and iii) only E) None of the 3 statements are true....
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