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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 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 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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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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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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Force and Motion 2
Two robots are pulling on an object in opposite directions. One robot pulls with a force of F1 Newtons and the other with a forc...

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Tribonacci Sequence
Generate the tribonacci sequence upto n

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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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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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Matrix Quadrants
Write a function that takes N as the input, and outputs a matrix whose upper-left (NxN) quadrant contains all ones, the lower-ri...

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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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non-repitition of numbers in a vector

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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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Cricket - Is It LBW?
LBW has an unfair reputation as complicated. But if you've watched a third umpire referral, you'll know that it's just a logical...

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Cricket - Report the Result (Part II: Test Matches)
Given two scalar strings representing the scores for a test match, return a string reporting the result in the appropriate form:...

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Cricket - You Miss, I Hit (Rank Bowlers by Proportion of Bowled and LBW Wickets)
Which bowlers threaten your stumps the most? Given a table of all wickets taken during some particular set of matches and two th...

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Cricket - Most Frequent Bowler-Batter Wicket Combinations
Given a table representing all wickets taken in a particular set of matches, return a table of the bowler-batter pairs that occu...

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Cricket - Report the Result (Part I: Limited Overs)
Given two scalar strings representing the scores for a limited-overs match, return a string reporting the result in the form "Te...

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Cricket - Peak Batting Average
Given a vector s of strings representing a batter's individual innings scores (in chronological order), return the highest batti...

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Cricket - Represent Average in "Dulkars" and "Ses"
Sachin Tendulkar's Test average was 53.78. So if Tendulkar = 53.78, one dulkar = 5.378. Similarly, Roger Twose's average was 25....

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Cricket - Career Bowling Statistics
Given a vector s of strings representing a bowler's individual innings records, return their career statistics as a 3-element (n...

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Cricket - Career Batting Statistics
Given a vector s of strings representing a batter's individual innings scores, return their career statistics as a 4-element (nu...

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Cricket - How Much More to Beat Bradman?
Sir Don Bradman famously needed only 4 runs in his final innings to retire with an average of 100. Out for a duck, he ended inst...

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Cricket - Average Partnership Contribution
The (infamous) Duckworth-Lewis method uses statistical models of how much each wicket partnership is worth to an innings (on ave...

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