an oscillator with a frequency of 0.25 hz is set in motion. one second later, an identical oscillator is set in motion. what is the phase separation of these two oscillators. show your work !

x1 = A sin ω t = A sin (2 pi f t)     equation for SHM with no phase

x1 =A sin (2 * pi * .25 t)  = A sin (.5 * pi * t)

x2 = A sin (.5  pi * (t - 1)) = A sin (.5 pi  t - pi/2)  second oscillator lags by 1 sec

So x2 is pi / 2 behind x1 in phase

Or x2 = A cos .5 pi t    since sin (Ф - pi/2) = cos Ф

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6