A wheel has a radius of 10 cm. Approximately how far does it travel in 3 revolutions?
2 answers:
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Answer:
Rate at which spring is oscillating 2.9631
Step-by-step explanation:
The governing equation for the position of the spring = 3 sin t
the change in position of the spring with respect to time is =
given time t = 9 seconds,
To find the rate at which the spring is oscillating at the time, we insert the time 9 seconds into the the slot for t
rate at which it is oscillating = 2.9631
The intervals of the function on the graph are:
- Domain = (-∝, ∝)
- Range = (-∝, 2]
- Increases (-∝, 3]
- Decreases [3, ∝)
The function is given as:
f(x) = -2(x-3)² + 2
See attachment for the graph.
From the graph, we have;
Domain = (-∝, ∝)
Because it takes all real values as its input
Range = (-∝, 2]
Because it has a vertex of (3, 2) and the vertex is a maximum
Also, it increases on the interval (-∝, 3] and decreases on the interval [3, ∝)
Read more about function interval at:
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