video1.0<iframe src="https://www.loom.com/embed/41587e8a66044aaf8acec87542d1a552" frameborder="0" width="1840" height="1380" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>13801840Loomhttps://www.loom.com13801840https://cdn.loom.com/sessions/thumbnails/41587e8a66044aaf8acec87542d1a552-0febe63008a22b0e.gif7929.147In this video, I walk through solving a complex equation, demonstrating that f(x) = 0 has a root between 3.5 and 4 by evaluating f(3.5) and f(4) and observing a change in sign. I apply the Newton-Raphson method using f(4) and its derivative to find a second approximation, which results in 3.81. I also explain why the Newton-Raphson method cannot be used at x1 = 0 due to a stationary point. Additionally, I analyze a curve defined by f(x) = 8sin(0.5x) - 3x + 9 to find the x-coordinate of a local maximum and confirm the existence of a root between specific intervals based on sign changes. Please pay close attention to the calculations and reasoning presented, as they are crucial for understanding the concepts discussed.