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Zi Hung


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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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Linear Motion 1
An object travels N feet in the first second of travel, N feet again during the second second of travel and N feet again during ...

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Mass Conversion 1

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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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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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Potential energy calculation

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Velocity Conversion
Given a velocity in mph, convert it to km/h. Round the answer to the fourth decimal place.

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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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Laws of motion 6

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Laws of motion 3

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The MATLAB Treasure Hunt – Unlock the Final Chamber by Solving the Ancient Numeric Cipher
You’ve reached the Final Chamber, where a glowing pedestal displays a sequence of numbers. The inscription reads: “Only the su...

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The MATLAB Treasure Hunt – Escape the Labyrinth of Logic by Unlocking the Correct Door Sequence
You enter the Labyrinth of Logic, where each door opens only if a secret rule is met. A vector of integers represents door code...

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The MATLAB Treasure Hunt – Locate the Hidden Treasure in the Chamber of Coordinates
Inside the Chamber of Coordinates, glowing runes show several coordinate points on a 2D grid. The treasure lies closest to the ...

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The MATLAB Treasure Hunt – Cross the River of Ratios by Finding Successive Proportions in the Data Stream
Following the glowing script, you arrive at the River of Ratios — a flowing stream of numbers. A carved message on the rocks re...

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The MATLAB Treasure Hunt – Decode the Ancient Script by Removing Strange Symbols from the Message
Emerging from the Maze of Numbers, you find a tablet etched with symbols and letters — an Ancient Script! The message is hidden...

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The MATLAB Treasure Hunt – Identify the Hidden Pattern Within the Maze of Numbers
The compass leads you to an underground chamber covered in numbers carved into the walls — a maze of digits that glows in myster...

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The MATLAB Treasure Hunt – Fix the Broken Compass by Normalizing Its Angle Readings
Your compass, recovered from the Hidden Cave, spins wildly! The ancient device shows angles that exceed 360° or drop below 0°. T...

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The MATLAB Treasure Hunt – Count Matching Symbols on the Ancient Scroll to Unlock the Next Clue
Inside the Hidden Cave, you discover an ancient scroll filled with strange symbols and markings. A note beside it says: “Count ...

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The MATLAB Treasure Hunt – Extract the Hidden Cave’s Coordinates from a Long List of Numbers
After decoding the first clue, you uncover another piece of parchment — a long list of numbers. At first glance, it looks random...

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The MATLAB Treasure Hunt – Decode the First Clue Hidden in a Jumbled Sequence of Numbers
You discover an ancient parchment inside the college archives. It contains a jumbled sequence of numbers that seems meaningless ...

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Rescale Scores
Each column (except last) of matrix X contains students' scores in a course assignment or a test. The last column has a weighted...

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Calculate Inner Product
Given two input matrices, x and y, check if their inner dimensions match. If they match, create an output variable z which cont...

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Find MPG of Lightest Cars
The file cars.mat contains a table named cars with variables Model, MPG, Horsepower, Weight, and Acceleration for several classi...

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Find the Best Hotels
Given three input variables: hotels - a list of hotel names ratings - their ratings in a city cutoff - the rating at which yo...

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Crop an Image
A grayscale image is represented as a matrix in MATLAB. Each matrix element represents a pixel in the image. An element value re...

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Calculate BMI
Given a matrix hw (height and weight) with two columns, calculate BMI using these formulas: 1 kilogram = 2.2 pounds 1 inch = 2...

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