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10. Which of the following functions has the longest period? y = 6 sin(3x) + 20 y = 7 cos(x) + 13 а. с. b. y = 8 cos(2x) – 4 d. y = 2 sin(0.5x) – 11

10. Which of the following functions has the longest period? y = 6 sin(3x) + 20 y = 7 cos(x) + 13 а. с. b. y = 8 cos(2x) – 4 d. y = 2 sin(0.5x) – 11

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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10. Which of the following functions has the longest period? y = 6 sin(3x) + 20 y = 7cos(x) + 13 а. с. b. y = 8 cos(2x) – 4 d. y = 2 sin(0.5x) – 11 11. Which of the following statements is true? The domain of a transformed logarithmic function is always {x e R}. а. b. Vertical and horizontal translations must be performed before horizontal and vertical stretches/compressions. A transformed logarithmic function always has a vertical asymptote. с. d. The vertical asymptote changes when a vertical translation is applied. 12. Another way of writing 2 log, (-3) = 8 log, 2 = -3 а. с. log_32 - log, --3 b. d. 8 8 H|00
Transcribed Image Text:10. Which of the following functions has the longest period? y = 6 sin(3x) + 20 y = 7cos(x) + 13 а. с. b. y = 8 cos(2x) – 4 d. y = 2 sin(0.5x) – 11 11. Which of the following statements is true? The domain of a transformed logarithmic function is always {x e R}. а. b. Vertical and horizontal translations must be performed before horizontal and vertical stretches/compressions. A transformed logarithmic function always has a vertical asymptote. с. d. The vertical asymptote changes when a vertical translation is applied. 12. Another way of writing 2 log, (-3) = 8 log, 2 = -3 а. с. log_32 - log, --3 b. d. 8 8 H|00
13. The function y = log4x - 3 is a. compressed vertically by a factor of c. translated down 3 units b. stretched horizontally by a factor of d. translated right 3 units 3 1 14. Evaluate log, 16 а. -12 с. b. 8. d. -4 15. The equation of the vertical asymptote for the function y = log(x - 3) + 2 is а. x = 2 b. x = 0 с. x =-3 d. x = 3 16. Suppose (x) =x² and g(x) -8 and –7 = x + 56. What are the x-intercepts of the graph of y = f (x) – g(x)? b. -8 and 7 7 and 8 d. -7 and 8 а. с. 17. Suppose f(x) =x² – 14x + 49 and g(x) : 1 At which of these points does the function y = f (x)g(x) have a hole? X-7 а. (-7, -7) b. (7, 0) с. (-7, 0) d. (7, 7) 18. Suppose Ax): and g(x) = Vx+10 . Which of these expressions is equivalent to f (g(-1))? x2 1 b. 3 1 с. -3 d. 3 а. 9.
Transcribed Image Text:13. The function y = log4x - 3 is a. compressed vertically by a factor of c. translated down 3 units b. stretched horizontally by a factor of d. translated right 3 units 3 1 14. Evaluate log, 16 а. -12 с. b. 8. d. -4 15. The equation of the vertical asymptote for the function y = log(x - 3) + 2 is а. x = 2 b. x = 0 с. x =-3 d. x = 3 16. Suppose (x) =x² and g(x) -8 and –7 = x + 56. What are the x-intercepts of the graph of y = f (x) – g(x)? b. -8 and 7 7 and 8 d. -7 and 8 а. с. 17. Suppose f(x) =x² – 14x + 49 and g(x) : 1 At which of these points does the function y = f (x)g(x) have a hole? X-7 а. (-7, -7) b. (7, 0) с. (-7, 0) d. (7, 7) 18. Suppose Ax): and g(x) = Vx+10 . Which of these expressions is equivalent to f (g(-1))? x2 1 b. 3 1 с. -3 d. 3 а. 9.
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