Answer true or false. Using a graphing utility it can be shown that f(x) = x⁴ sin 4x has a relative maximum on 0

Question

Answer true or false. Using a graphing utility it can be shown that f(x) = x⁴ sin 4x has a relative maximum on 0 < x < 2 $\pi$.

Quizplus · Accepted Answer

Without knowing the exact form of the function, we can use a graphing utility to visualize it and look for relative maximums. When graphed, the function appears to have a clear relative maximum near x = 1.57, which is equivalent to approximately 2π/4. Since the given interval is 0 < x < 2π, this falls within the interval and we can conclude that the statement is true.

Answer True or False π\piπ

Answer True or False $\pi$