Approaching negative infinity: The graph falls indefinitely as x approaches positive or negative infinity. Approaching a horizontal asymptote: The graph approaches a horizontal line as x approaches ...

Look for Key Features: Identify critical points and characteristics such as intercepts, vertices, asymptotes, and symmetry. Test Points: Choose a few points on the graph and plug their coordinates ...

Make sure your angles are in units of radians (not degrees), where 2π radians = 360 degrees. But after that you will get the ...

Abstract: We study the stability of an equilibrium of arbitrarily switched, autonomous, continuous-time systems through the computation of a common Lyapunov function (CLF). The switching occurs ...

Explorers in southern Spain have linked two deep caves into one “supercave system” about 16.4 miles long. The connection sits inside Sierra de las Nieves near Málaga and pulls together years of ...

Abstract: This study presents the design of feedback controllers for generalized cost functions to deal with stochastic optimal control problems. Target linear systems contain time-invariant ...