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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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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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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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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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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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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...