(a) Use a graphing utility to graph the functions f(x) = 3 cos(2x) + 4 sin(7x) and g(x) = 3 cos(2x) + 4 sin(4x). Use the graphs to find the period of each function. period of f(x)= period of g(x)= (b)...

(a)

Use a graphing utility to graph the functions

f(x) = 3 cos(2x) + 4 sin(7x)

and

g(x) = 3 cos(2x) + 4 sin(4x).

Use the graphs to find the period of each function.

period of

f(x)=

period of

g(x)=

(b)

Is the function

h(x) = A cos(?x) + B sin(?x),

where ? and ? are positive integers, periodic? Explain.

Yes,h(x) is periodic because each of its terms is periodic with the same period for all values of ? and ?.

Yes,h(x) is periodic because each of its terms is periodic and a common multiple of their periods can be found.

No,h(x) is not periodic unlessA =B.No,h(x) is not periodic unless ? = ?.

No,h(x) is not periodic unlessA andB are also positive integers.

Jun 05, 2022

Get Answer To This Question