1. derivation of rc filtering properties consider an rc low-pass filter. a. using the relation i = c dv dt for a capacitor and ohm’s law v = ir for a resistor, show that the governing equation across the capacitor is given by vout + τ dvout dt = vin where τ = rc. b. suppose that the input and output voltages are varying sinusoidally, vin/out ∼ sin(ωt). since sin(ωt) = im(e iωt ), one can analyze the behavior using complex numbers. using variables vin = aine iωt , vo

volleyball players can not touch the net while the ball is in play

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

ice to water 1 water to vapour 2 latent heat

what is the speed of a softball that travels 20m in 2secs

speed = 20/2 = 10 m/s