In the function f(t) = sin(t), what is the effect of multiplying t by a coefficient of 2?
1 answer:
Answer:
"changes the period to pi"
Step-by-step explanation:
f(t) = Sin(t),
Here, t is the period, by definition.
Multiply t by a number that is GREATER THAN 1, makes the period shorter and compressed.
Multiplying t by a number that is between 0 and 1 makes the period expanded.
For the first, if we multiply the period by a, the period becomes
Since the problem tells us to multiply by 2, we know the period becomes compressed and becomes :
Third answer choice is right.
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Answer: First and last option
The birds began 1320 miles from the equator.
The birds are flying toward the equator at a rate of 60 mph.
Step-by-step explanation:
Note that the function f(x) is a linear function.
If x represents the number of hours and f(x) represents the distance from the equator, then x = 0 means that the first hour has not yet elapsed.
When x = 0 then:
.
This means that the initial distance at which the birds of the equator are located is 1320 miles.
Then when x = 1 then:
When x = 2 then:
As x increases by one unit then the distance of the birds to the equator decreases by 60 miles. This means that birds travel at a speed of 60 miles per hour