Interactive vector decomposition: adjust magnitude and angle to see Vx = |V|cos θ and Vy = |V|sin θ components on a grid with right-angle marker.
Visualize how the degree and leading coefficient of a polynomial determine its end behavior. Adjust coefficients interactively and observe limit notation for x→±∞ in real time.
Explore vertical, horizontal, and slant asymptotes of rational functions. Switch between preset functions or enter custom numerator/denominator coefficients to see asymptote detection in real time.
Navigate the unit circle interactively. Drag or select angles to see exact sine, cosine, and tangent values. Visualize reference angles, quadrant signs, and the right triangle projection.
Compare exponential growth and decay side by side. Adjust the initial value and base to see how doubling time, half-life, and growth rate change. Includes real-world presets like compound interest and radioactive decay.