Showing 4 results
Slope Field Explorer
Generate slope fields for any first-order ODE and trace solution curves through arbitrary initial conditions. Visualize how solutions behave near equilibria, and develop intuition for qualitative analysis.
Taylor & Maclaurin Series
Watch Taylor polynomial approximations converge to sin(x), cos(x), eˣ, ln(1+x), and 1/(1-x). Adjust the number of terms (1-12) and center point a. Individual terms shown as dashed colored lines; sum shown in purple. Max error and radius of convergence displayed live.
Hypothesis Testing
Visualize three test types: z-test for proportions, t-test for means, and χ²-test. Adjust the test statistic parameters, choose α (0.01/0.05/0.10), and select one- or two-tailed Hₐ. The rejection region (red), p-value shading, and critical values update live. Decision badge shows REJECT H₀ or FAIL TO REJECT.
Enzyme Kinetics
Visualize Michaelis-Menten kinetics with an animated enzyme-substrate particle scene, a live V vs [S] curve, and a Lineweaver-Burk double-reciprocal plot. Adjust Vmax, Km, and highlighted [S]. Switch between no inhibitor, competitive (↑Km, Vmax same), and noncompetitive (↓Vmax, Km same) to see how each changes both graphs in real time.