# Tag: mathematics

## fruit2: Image-Based Systems of Linear Equations (Single-Choice)

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Exercise template for solving a system of three linear equations (single-choice) with a problem description based on shuffled images. Read More ›

## fruit: Image-Based Systems of Linear Equations (Numeric)

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Exercise template for solving a system of three linear equations (numeric answer) with a problem description based on shuffled images. Read More ›

## lagrange: Method of Lagrange Multipliers

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Exercise template for minimizing a linear objective function with two arguments subject to a Cobb-Douglas-type constraint. Both the parameters of the functions and the exact question (argument 1 vs. argument 2 vs. function value in optimum) are drawn randomly. Read More ›

## hessian: 2x2 Hessian Matrix (Single-Choice)

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Exercise template for computing the Hessian for a given function with randomly-drawn parameters. Read More ›

## fourfold2: Fourfold Table (Moodle Version)

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Exercise template for computing a fourfold table (as presented in Moodle) of joint and marginal probabilities based on three randomly-drawn conditional or marginal probabilities. Read More ›

## fourfold: Fourfold Table

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Exercise template for computing joint probabilities from a 2x2 table based on three randomly-drawn conditional or marginal probabilities. Read More ›

## dist3: Distances and the Pythagorean Theorem (Single-Choice)

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Exercise template for computing the distance (single-choice) between two randomly-drawn points in a Cartesian coordinate system. Read More ›

## dist2: Three Distances in a Cartesian Coordinate System

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Exercise template for computing the Manhattan, Euclidean, and maximum distance (cloze with three numeric answers) between two randomly-drawn points in a Cartesian coordinate system. Read More ›

## dist: Distances and the Pythagorean Theorem

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Exercise template for computing the distance (numeric answer) between two randomly-drawn points in a Cartesian coordinate system. Read More ›

## deriv2: Product Rule for Derivatives (Single-Choice)

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Exercise template for computing the derivative (single-choice) of a production function with factors of type xa and exp(b * x) at a given point c, with randomly-drawn a, b, and c. Read More ›