Determine if the equations = y represents a proportional relationship
1 answer:
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Answer:
G(t) = 35*sin(10*t) + 35
Step-by-step explanation:
In the figure attached, the question is shown. The function has the form:
G(t) = a*sin(b*t) + d
We know that at t = 0, G(t) = 35. Replacing into the equation:
35 = a*sin(b*0) + d
d = 35
We know that at t = π/20, G(t) = 70, which is a maximum. The maximum is reached when sin(b*t) = 1, replacing into the equation:
70 = a*1 + 35
a = 35
If sin(b*t) = 1, then:
b*t = π/2
b*π/20 = π/2
b = 20/2 = 10
