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Pi Estimate 1
Estimate Pi as described in the following link: <http://www.people.virginia.edu/~teh1m/cody/Pi_estimation1.pdf>

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Determine whether a vector is monotonically increasing
Return true if the elements of the input vector increase monotonically (i.e. each element is larger than the previous). Return f...

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Check if number exists in vector
Return 1 if number a exists in vector b otherwise return 0. a = 3; b = [1,2,4]; Returns 0. a = 3; b = [1,2,3]; Returns 1.

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Magic is simple (for beginners)
Determine for a magic square of order n, the magic sum m. For example m=15 for a magic square of order 3.

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Swap the first and last columns
Flip the outermost columns of matrix A, so that the first column becomes the last and the last column becomes the first. All oth...

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Energy Conversion 2

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Coefficient of Static friction
The coefficient of static friction between two surfaces is u. What force must be used to move a W lb. crate on a horizontal sur...

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Calculate the acceleration of a crate
What is the acceleration of a crate if two robots apply F1 N and F2 N of force respectively and a frictional force of FR N acts ...

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Resistance in a circuit
Two resistors with values of 6.0 ohms and 12 ohms are connected in parallel. This combination is connected in series with a 4 o...

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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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Column Removal
Remove the nth column from input matrix A and return the resulting matrix in output B. So if A = [1 2 3; 4 5 6]; ...

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Check that number is whole number
Check that number is whole number Say x=15, then answer is 1. x=15.2 , then answer is 0. http://en.wikipedia.org/wiki/Whole_numb...

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Swap the input arguments
Write a two-input, two-output function that swaps its two input arguments. For example: [q,r] = swap(5,10) returns q = ...

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Rule of mixtures (composites) - lower bound
The <http://en.wikipedia.org/wiki/Rule_of_mixtures rule of mixtures> is used in the mechanical design of composite structures to...

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Create a Multiplication table matrix...
Create a product table in this format: P = [ 1 2 3 4 5; 2 4 6 8 10; 3 6 9 12 15; 4 8 12 1...

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sum of non-primes
The sum of the non-primes no larger than 10 is 1+4+6+8+9+10=38 Find the sum of all the positive non-prime integers that do no...

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Given a number N, find the smallest prime P>N
Given a number N, find the smallest prime P greater than N. For example: If N=10 then P=11. If N=13 then P=17.

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Spherical Volume
Calculate the volume of a sphere.

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Area of a Square
Given the length x of the side of a regular square, find the area of the square, A.

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Finding Perfect Squares
Given a vector of numbers, return true if one of the numbers is a square of one of the numbers. Otherwise return false. Example...

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Reverse the vector
Reverse the vector elements. Example: Input x = [1,2,3,4,5,6,7,8,9] Output y = [9,8,7,6,5,4,3,2,1]

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Select every other element of a vector
Write a function which returns every other element of the vector passed in. That is, it returns the all odd-numbered elements, s...

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Convert from Fahrenheit to Celsius
Given an input vector F containing temperature values in Fahrenheit, return an output vector C that contains the values in Celsi...

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Calculate Amount of Cake Frosting
Given two input variables r and h, which stand for the radius and height of a cake, calculate the surface area of the cake you n...

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Calculate Parallel Resistance
Three resistors connected in parallel have resistances R1, R 2, and R 3, respectively. Return the total resistance R total of ...

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Resistance of a light bulb
The current through two identical light bulbs connected in series is C Amperes. The total voltage across both bulbs is V Volts....

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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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Laws of motion 6

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Electrical Diode Current Calculation
In engineering, there is not always a single equation that describes a phenomenon accurately enough to be applied in all instanc...

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An Ohm's Law Calculator
*BACKGROUND / MOTIVATION:* Many important observations in math and science can be described by short, but powerful, equations...

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