Step-by-step explanation:
An exponentially decaying signal is of the form x(t) = Ce^(-αt) in terms of an initial value C and a decay rate α > 0. The signal equals a fraction 1/e of its initial value after the characteristic time scale t = 1/α.
Given
x(t) = 2e^(-t/3) + e^(-t) + 3e^(-t/2)
The decay rates are: 1/3, 1, and 1/2.
The slowest decay rate α is the minimum of {1/3, 1, 1/2} = 1/3.
The corresponding time scale
is only 2/3 times larger than the next faster decay rate 1/2, so the decay rates are NOT well separated. The slowest component is larger than 0.5 as long as t < (ln3)/0.5 ≈ 2.2.
The other two components add
up to more than the value of the slowest component. We conclude that the component with slowest decay rate dominates measurements on any interval even in the presence of noise.
HOPE THIS HELPS!! PLEASE MARK BRAINLIEST
The scientist stayed awake in class, so knows that the cosine of angle x is the ratio of y to the sun-moon distance. The sun-moon distance can be found by dividing y by the cosine of x.
Answer:
H and L
Step-by-step explanation:
Only 1, cause 89 is prime so it can't be divisible other than 1.
Hope this helps
