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Area Between Curves
Input one or two functions, visualize the bounded region dynamically, and generate step-by-step integral area expressions automatically.
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Central Limit Theorem Visualizer
Interactive visualization demonstrating how sample means tend toward a Normal distribution as sample size grows.
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Combined Mean & Variance
Rearrange the mean and variance definitions to recover totals, then calculate the combined mean, variance and standard deviation of two data sets.
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Equation Intersections Explorer
Move terms across an equation and watch the two curves change while their intersection x-coordinates stay fixed.
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Graph Transformations Explorer
See how a single translation or stretch moves every point on y = f(x), including exam-style curves with no given formula.
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Grouped Data Median Interpolation
Estimate the median of grouped data by building a cumulative-frequency proportion table and applying linear interpolation.
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Hypothesis Testing Practice & Simulator
Learn the definitions of null and alternative hypotheses, simulate hypothesis tests using Binomial and Poisson distributions, and test your understanding with concept quizzes.
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Inequalities & Regions Explorer
Build intuition for regions defined by linear and curved inequalities, practise shading the correct region, and write inequalities from a graph.
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Moments & Equilibrium Lab
Move loads along a beam, choose where to take moments, and practise finding reactions and unknown loads.
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Motion Components Lab
Launch a projectile at a movable target and explore how horizontal and vertical velocities combine.
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Permutations vs. Combinations Quiz
Practice distinguishing between ordered and unordered selections with 50 real-world scenarios.
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Point-Slope Form Visualizer
Develop an intuitive understanding of the point-slope form. Drag the point on the coordinate plane, slide the gradient, and practice writing line equations directly.
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Projectile Motion Explorer
Explore a projectile's trajectory, velocity components and key results as its launch conditions change.
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Pythagorean Identities Practice
Master the Pythagorean trigonometric identities and their algebraic variations with interactive study cards and a fill-in-the-blank quiz challenge.
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Regression Line Explorer
Drag data points and watch the regression line, equation, and correlation coefficient update instantly. Explore strength, direction, residuals, and the effect of outliers.
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Sampling Distribution of Sample Mean
Visualize how X̄ distributes across repeated samples from Uniform, Binomial, and Poisson populations. Discover E(X̄)=μ and Var(X̄)=σ²/n through live animation and simulation.
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Secant to Tangent Explorer
Move a second point towards a fixed point on y = x² and watch the secant gradient approach the tangent gradient from either side.
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T-Distribution Visualizer
Visualize Student's t-distribution curves for different degrees of freedom (df = 3, 5, 10, 15, 20, 30) and observe how they converge to the standard normal distribution.
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Trig Derivatives Practice
Memorize the derivatives of basic trigonometric functions with standard formulas, interactive flip cards, and multiple-choice quizzes.
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Trig Special Angles Practice
Visualize trigonometric ratios on an interactive unit circle and test your knowledge of special angles (sin, cos, tan) with a 10-question quiz.
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Trigonometric Graph Explorer
Visualize how sin, cos, and tan functions are drawn in real-time with animated playback.
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Trigonometric Signs Quiz
Master the signs (+ or -) of Sin, Cos, and Tan across all four quadrants with 80 practice questions.
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u-Substitution Practice
Master integration by substitution with highlighted components and instant feedback.
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Volume of Solid of Revolution
Input boundary curves and an interval to visualize the 3D solid rotated about the x-axis. Intuitively master disk and washer integration methods.
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More tools in development...