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the average value of the elements
Calculate the average value of the elements in the array
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Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?
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Sum of series VII
What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?
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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. The elements of p should ...
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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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Calculate supply voltage and total current
Three resistors are connected in series and each has a resistance in ohms. Resistor R2 has a voltage drop of ΔV2volts Find the ...
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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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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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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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Linear Motion 2
During testing in the desert, a remotely operated vehicle travels D kilometers over rough terrain. The testing takes place over...
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Basic Mathematics 7
Three generous robotics team mentors would jointly like to donate $N toward extra supplies. The second mentor is donating twice ...
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Basic Mathematics 6
A High School is trying to build their robot to be able to reach the hanging object which is H inches from the ground. Their ro...
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Basic Mathematics 5
The total area of all four equal sections of the game field is N ft². Each section has a rectangle of dimensions X ft x Y ft re...
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Basic Mathematics 4
Team #1 is in first place but only one point higher than Team #2. The sum of their two scores is N. What are each team’s scores...
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Basic Mathematics 2
If a 4’ x 8’ sheet of ½” plywood weighs W lbs and you cut an L” x L” robot base from this material, approximately how much weigh...
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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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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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Coefficient of Sliding Friction
A weight of W1 N rests on a horizontal plane. The plane is gradually inclined until at an angle θ = Ao with the horizontal, the ...
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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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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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Mechanical Advantage of a Gear Train
Calculate the mechanical advantage of a gear train. The mechanical advantage of a gear couple is given by MA = T_o/T_i where ...
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How long do each of the stages of the rocket take to burn?
A space rocket has 3 stages: - stage 1, s1; - stage 2, s2; - stage 3, s3. If s1 burns 3 x as long as s2 which burns ...
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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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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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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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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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