Answer true or false. Using a graphing utility it can be shown that f(x) = x⁴ sin 5x has a relative maximum on 0

Question

Answer true or false. Using a graphing utility it can be shown that f(x) = x⁴ sin 5x has a relative maximum on 0 < x < 2 $\pi$.

Quizplus · Accepted Answer

Since the function is periodic with period 2π/5, we only need to focus on the interval 0 < x < 2π/5. Using a graphing utility, it can be shown that there is a relative maximum at x ≈ 1.2566, which is within the interval 0 < x < 2π/5. Therefore, the statement is true.

Answer True or False π\piπ

Answer True or False $\pi$