求这道题的答案，在线等 100
(1)
The labels on the y-axis are not very clear, I assume they're 3, 2.5, 2, 1.5, etc. from the top
G(0) = a = 2
From the figure, the period Tof G(t) is 1, m = 2π/T = 2π, G(t) = 2 + bsin(2πt)
The maximum of G(t) = 2 + b = 2.5, b = 0.5
similarly:
B(0) = c = 2,
The period T' of B(t) is 0.5, n = 2π/T' = 4π, B(t) = 2 + dsin(4πt)
The maximum of B(t) = 2 + d = 2.5, d = 0.5
(2)
20/T' = 20/0.5 = 40
(3)
G(t) = 2 + 0.5sin(2πt) = B(t) = 2 + 0.5sin(4πt)
sin(2πt) = sin(4πt) = 2sin(2πt)cos(2πt)
[sin(2πt)][cos(2πt) - 1/2] = 0
sin(2πt) = 0, t = 0.5, 1.0, 1.5
cos(2πt) = 1/2, 2πt = 2kπ ± π/3, where k is an integer.
t = k ± 1/6
the roots in [0.1, 1.9] are t = 1/6, 5/6, 7/6, 11/6
(4) t = 0.5, 1, 1,5: G(t) = B(t) = 2
t = 1/6 or 7/6: G(t) = B(t) = 2 + 0.5*√3/2 ≈ 2.4
t = 5/6 or 11/6: G(t) = B(t) = 2 - 0.5*√3/2 ≈ 1.6
(e) apparently, your labels for y-axis are not right, so this one can't be done. Please provide a clear photo.
Also, the numbers in the previous answers are not all correct for the same reason. But the method is corrent.
