The motion of a simple spring hanging from the ceiling can be modeled with a cosine function. The bottom of the spring has a max
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Answer:
Step-by-step explanation:
Givn that the motion of a simple spring hanging from the ceiling can be modeled with a cosine function. The bottom of the spring has a maximum height of 7 feet 4 inches and a minimum height of 6 feet 2 inches from the floor. It takes 2 seconds for the spring to expand from its minimum length to its maximum length.
Middle line = average of 7'4" amd 6'2"
=6'9"
Amplitude = 7'4"-6;9"
= 7"
Hence the corresponding cosine function would be
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So. let's say the numbers are "a" and "b"
whatever they're, we know a + b = 56
let's say the larger one is "b", so 3 times the smaller is 3*a or 3a
now, 12 less than that, is 3a - 12
and the larger is that, so b = 3a - 12
so
solve for "a", to see what the smaller one is
what's b? well, b = 56 - a
whatever they're, we know a + b = 56
let's say the larger one is "b", so 3 times the smaller is 3*a or 3a
now, 12 less than that, is 3a - 12
and the larger is that, so b = 3a - 12
so
solve for "a", to see what the smaller one is
what's b? well, b = 56 - a