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Coefficient of Kinetic friction
A robot exerts a F1 lb. force horizontally on a W lb. crate across a concrete floor at a constant speed. What is the coefficien...

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Resistance of a robot
What is the resistance of an industrial robot that draws P watts of power when connected to a power supply delivering V volts? R...

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Basic Mathematics 8
A robot is extending its arm and attempting to reach a game piece that is X” away and Yg ” off the ground. The base of the arm i...

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Estimating Euler's (Oi-ler-z) Number
Euler's number is an irrational constant given by Starting with x=0, count the number of times you can add a uniformly distrib...

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Next Tribonacci Number
The "Tribonacci" sequence is an extension of the idea of the Fibonacci sequence: That is, each new term is the sum of the thr...

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Generate Tribonacci Sequence
The "Tribonacci" sequence is an extension of the idea of the Fibonacci sequence: That is, each new term is the sum of the thr...

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Generate Pascal's Triangle Matrix
Pascal's triangle is an arrangement of numbers where each value is the sum of the values adjacent to it in the previous row: ...

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Interpolated Value Between Two Points
Given two points, and , a new location x, and a method "linear" or "cubic", return the value of a linear or cubic interpolant t...

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A Binary Search
One way to locate a target value in a sorted array, is to use a binary search algorithm. Here, you test if the midpoint in the a...

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Where the Four Corners Am I? (Vectorized)
NOTE: this problem is intended to build on problem #55960 ("Where the Four Corners Am I?"). You may wish to solve that problem f...

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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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Taylor Series
You can use a Taylor series to approximate common functions. The Taylor series for sin(x) is Using only the first several te...

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Frobenius Norm
Write your own version of Frobenius Norm without using the 'norm' function.

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Return the middle element of an NxN square matrix where N is odd
Let's say you are given an NxN square matrix where N is always going to be an odd number: x = [ 1 2 3 4 5 6 7 8 ...

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Calculating Student Grades
The matrix grades contains raw grades for 7 students who took your course. Each row represents a different student. The first 7 ...

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Determine if x is a combination of m and n
Given positive integers x, m, and n, determine if x can be written as x = am + bn for any (non-negative) integers a and b. Your ...

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Dog Statistics
The vectors ht and wt contains the heights and weights of 20 golden retrievers. In some cases, it was not possible to make both ...

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Simpson's Paradox - Calculate correlation coefficients for groups of data
Simpson's Paradox is a statistical phenomenon where groups of data can have a characteristic while the whole data set together h...

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Calculate the mean of each half of a matrix
Given a matrix with an even number of columns, n, return a 1-by-2 row vector where the first element is the mean of all the elem...

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Find Closest Constant
Given a number x, return the value that is closest to x from this list of constants: 0, 1, , e, , (also known as ). For exampl...

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Zero or hero
A number will be given as an input. You can be hero if it's not zero. (Just for fun)

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Identifying teenager
Suppose the age of a person is given. If he/she is a teenage, answer is 'yes'. Otherwise, the answer is 'no'.

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Calculate the Distance to Source of Lightning
Lightning discharge heats air rapidly with lightning channels reaching temperatures of up to 50,000 degrees Fahrenheit (which is...

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Convert Volume Mixing Ratio to Density
The partial pressure of a constituent gas species of the atmosphere can be expressed in parts per million by volume. For exampl...

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Snow Accumulation and Structural Risks To Residential Properties
The density of snow depends on the amount of liquid water it contains: Dry Snow is about 50 kg/m^3 Wet Snow is about 200 kg/m^...

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Calculate Wind Chill Factor
The NWS Wind Chill Temperature (WCT) index formula for calculating the dangers from winter winds and freezing temperatures: Cal...

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Partial Pressure of Water Vapor from Relative Humidity
Buck (1996, 1981) published the following constants for the saturation pressure of water*: 6.1121 (mb) The saturation pressur...

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Pressure for a given Above Sea Level Altitude
For altitudes up to the stratosphere (around 11 km above mean sea level), the air pressure can be estimated from: with where...

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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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