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Weighted average
Given two lists of numbers, determine the weighted average as follows Example [1 2 3] and [10 15 20] should result in 33.3...

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Linear Motion 6
An experimental vehicle traveling at v1 m/s is brought to a full stop in t seconds. How far does it travel before stopping? Roun...

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Force and Motion 3
Two robots push on a large object in the same direction. One robot pushes with a force of F1 Newtons and the other with a force...

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Find a Pythagorean triple
Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...

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Lennard-Jones simulation of particle interaction (2D and 3D)
Investigation of the interaction of particles at different temperatures, volumes, and/or gravitational accelerations. Possible t...

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Where the Four Corners Am I?
The "Four Corners" region of the US is where Colorado, Utah, Arizona, and New Mexico all meet - the only place where four states...

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Combined Ages 1 - Symmetric, n = 3
You have probably seen the common riddle wherein combined ages are provided and you must determine the individual ages. For exam...

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Solve the set of simultaneous linear equations
Given this pair of simultaneous linear equations: 2x + 3y = 23 3x + 4y = 32 Find the solution set (x,y)

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Linear system of equations
Solve the system of equations in three variables.

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System of equations
Find a solution to a system of equations represented by a |n| by |n+1| matrix. For instance, [ 2 0 4; => 2*x = 4 ...

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Column norms of a matrix
Given a matrix M, return a vector y such that for each k y(k)=norm(M(:,k)) (y(k) is the Euclidean norm of the k-th col...

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Air Density from Temperature and Pressure
The density of air can be estimated from the product of molar mass and molar density: Write a function that finds the densi...

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Molar Air Density from Temperature and Pressure
The molar density of air can be found from the Temperature and Pressure using the ideal gas law. where the Molar density STP ...

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Air Mass to Star for an Observer at Mean Sea Level
Air mass is a measure of how much atmosphere light from a source above the atmosphere (eg sun, planet, star) has to travel throu...

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Predict Cricket Stridulation Rate from Air Temperature
Stridulation is the process that creates a cricket's “chirp” by rubbing their wings or legs. According to the Old Farmer's Alma...

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Find Air Temperature from Cricket Stridulation Rate
Stridulation is the process that creates a cricket's “chirp” by rubbing their wings or legs. According to the Old Farmer's Alma...

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Convert a temperature reading from Celsius to an unknown scale
Two of the most famous temperature scales are the Celsius and the Fahrenheit scale. In reality, however, there are so many other...

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Matrix Pattern 1

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Power Outages Histogram
Create a function that takes power outage data as an input and creates a histogram of the number of outages as a function of Reg...

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Reproduce this plot!
Write a function that will take a dataset (x,y), a best fit model (model), and the upper and lower prediction bounds (lb,ub) for...

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Adding Inset Plots
You can use the axes function to define the position of an empty x/y axis. The position is measured relative the the bottom left...

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Plot Line Specifications
Create a line plot for function cos(x) where x is a vector of linearly spaced values going from 0 to input N with an increment o...

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Jack O'Lantern
If visualized correctly, the data contained in the matrix A will look like a jack-o'-lantern. Create a function that will visu...

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Find the Pattern 4

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Find the Pattern 3

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Find the Pattern 2

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TRON strategy toggle
Detect whether your lightcycle is on same side of existing walls as opponents lightcycle. This function is useful in toggling a...

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The Answer to Life, the Universe, and Everything
A variation of a previous Hitchhiker's Guide to the Galaxy problem. *Inputs:* Life, the Universe, and Everything *Output:*...

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Who has power to do everything in this world?
There is only one person who is older than this universe. He is Indian version of Chuck Norris.

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How many jokers?
* Given DNA codes of a group of suspects, * and a code for certain types of jokers, * Count how many jokers of that type. * ...

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