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Basic Mathematics 1

If a robot is traveling on a north heading at v1 inches per second and has the ability to only make N degree changes in directio...

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Find the mass of a rod

Determine the mass (in grams) of a rod of length L cm if it is in equilibrium per the diagram. In the diagram L1, L2, L3 are di...

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Current through resistor

Three resistors (R2, R3, R4) are connected in parallel as shown in the figure. If this combination is connected in series with ...

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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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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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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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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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Voltage in a lamp

A lamp is measured to have a resistance of R ohms when it operates at a power of P Watts. What is the voltage (in volts) being a...

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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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Remove Duplicates

Remove duplicates from the vector of integers and display in sorted order

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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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Calculate Angle From Axis

Given coordinates x and y, an axis ("X" or "Y"), and a direction ("cw" or "ccw", meaning clockwise and counterclockwise, respect...

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Triangle Coordinates

Given a natural number n, return two -element vectors, x and y, containing the coordinates of a triangular arrangement of points...

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Boustrophedon

Given a vector v and a positive integer n, return an m-by-n matrix containing the elements of v row-wise, alternating left-to-ri...

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Extract the Acrostic Message

An acrostic cipher is a way of embedding one message within another by taking the first (or last) word of each line. Given a str...

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Number of digits in an integer

Specifies how many digits in a given integer. Example: in=100 ==> out=3

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SatCom #6: Inclination of a Sun-Synchronous Orbit

Satellite and Space Engineering - Problem #5 This is part of a series of problems looking at topics in satellite and space comm...

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Create block matrix of integers (j+k-1) - Part II

Given m, n, p, and q, create an m-by-n matrix made up of submatrices, each sized p-by-q (if possible - the last row and column o...

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Create block matrix of integers (j+k-1) - Part I

Given m, n, p, and q, create a matrix of m-by-n blocks (submatrices), each sized p-by-q. The elements of the (j,k)th block all h...

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Determine if Input is Oddish or Evenish (Odd/Even Sum of Digits)

Given a positive integer n, determine whether n is "oddish" or "evenish" - that is, whether the sum of the digits of n is odd or...

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Split Even Number Into Two Primes

Given an even whole number n (> 2), return a 2-element vector of primes, p, such that p(1) + p(2) = n. Fun note: technically it...

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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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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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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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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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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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