Determine whether the function is periodic. if it is periodic, find the period. f(x) = 3 sin 2x + 4 cos 3x

Step-by-step explanation:

We are given that a function

We have to find that given function is periodic or not and if given function is periodic then find the period

We know that if a function is periodic then

We know that sin x and cos x are periodic function with period

Sum of periodic function is also periodic

Hence, given function is periodic function.

Period of sin x=

Then,

Period of cos x is

Hence, period of given function is

25.2

step-by-step explanation:

2+4x6-8/10= 25.2

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.