Find all solutions to the equation in the interval [0, 2π). (3 points) sin 2x - sin 4x = 0

pi divided by six , pi divided by two , five pi divided by six , seven pi divided by six , three pi divided by two , eleven pi divided by six

0, pi divided by six , pi divided by two , five pi divided by six , π, seven pi divided by six , three pi divided by two , eleven pi divided by six

0, two pi divided by three , four pi divided by three

0, pi divided by three. , two pi divided by three. , π, four pi divided by three. , five pi divided by three.

Step-by-step explanation:

Step-by-step explanation:

hello :

in the interval [0, 2π).  sin 2x - sin 4x = 0   means :

sin 2x =sin 4x

all solutions in R :4x=2x+2kπ   or  4x = π -2x +2k'π    k , k'  in Z

2x = 2kπ or 6x= (2k'+1)π

x = kπ  or x = (2k'+1)π/6

in :  [0, 2π)     k =0   k =1    so : x=0   x=π

k' = 0  ,  k' =1 ,   k' = 2    , k'=3  , k'= 4   , k' = 5  

so x= π/6     x= π/2   x= 7π/6    x= 3π/2    x= 11π/6

d

step-by-step explanation:

d

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.