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M 7 a 27. C On the same set of axes, sketch the graphs of y = 1 + sin 2x and y = 2 cos x for 0 < x < 2π. b Hence state the number of solutions of the equation 1 + sin 2x = 2 cos x for 0 < x < 2π. Write down the number of solutions of the equation 1 + sin 2x = 2 cos x for -27 x 67. 8 The graph shows the height of water below the level of a walkway as a function of time. The equation of the graph is of the form y = a cos (bt) + m. Find the values of a,b and m. M 3 12 24 X

M 7 a 27. C On the same set of axes, sketch the graphs of y = 1 + sin 2x and y = 2 cos x for 0 < x < 2π. b Hence state the number of solutions of the equation 1 + sin 2x = 2 cos x for 0 < x < 2π. Write down the number of solutions of the equation 1 + sin 2x = 2 cos x for -27 x 67. 8 The graph shows the height of water below the level of a walkway as a function of time. The equation of the graph is of the form y = a cos (bt) + m. Find the values of a,b and m. M 3 12 24 X

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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Please answer 7a, 7b, 8

M M 7 a 8 C 6 viven y PUNA I UJUI y 쯤. 3 A I Ն) ՆԵ ԵՒՍ 1 = 1 + sin 2x and y = 2 cos x for On the same set of axes, sketch the graphs of y 0 ≤ x ≤ 2π. Hence state the number of solutions of the equation 1 + sin 2x = 2 cos x for 0 ≤ x ≤ 2π. The graph shows the height of water below the level of a walkway as a function of time. The equation of the graph is of the form y = a cos (bt) + m. Find the values of a,b and m. Write down the number of solutions of the equation 1 + sin 2x = 2 cos x for −2π ≤ x ≤ 6π. MM 12 24 x 9 A Ferris wheel has radius 12 m and the centre of the wheel is 14 m above ground. The wheel takes four minutes to complete a full rotation
Transcribed Image Text:M M 7 a 8 C 6 viven y PUNA I UJUI y 쯤. 3 A I Ն) ՆԵ ԵՒՍ 1 = 1 + sin 2x and y = 2 cos x for On the same set of axes, sketch the graphs of y 0 ≤ x ≤ 2π. Hence state the number of solutions of the equation 1 + sin 2x = 2 cos x for 0 ≤ x ≤ 2π. The graph shows the height of water below the level of a walkway as a function of time. The equation of the graph is of the form y = a cos (bt) + m. Find the values of a,b and m. Write down the number of solutions of the equation 1 + sin 2x = 2 cos x for −2π ≤ x ≤ 6π. MM 12 24 x 9 A Ferris wheel has radius 12 m and the centre of the wheel is 14 m above ground. The wheel takes four minutes to complete a full rotation
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