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Diagonal of a Golden Rectangle
A golden rectangle has sides in the ratio 1:φ (phi), where φ is the golden ratio (approximately 1.618). Given the length of the ...

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Problema

Compute the saturation concentration for dissolved oxygen in water
As organic matter from wastewater decomposes, it consumes oxygen, and an assessment of the effect of a wastewater discharge on t...

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Resuelto

Sum of Positive Elements in a Matrix
Given a matrix A, write a function that returns the sum of all positive elements in A. Input: A = [-3, 4, -1; 6, -2, 8] ...

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Resuelto

Sum of Even Numbers in a Vector
Write a function that takes a vector x as input and returns the sum of all even numbers in x. Input: x = [1, 2, 3, 4, 5, 6] ...

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Resuelto

Calculate the Number of Moles
The number of moles of a substance is calculated using the formula: Mass (g) = Moles / Molar Mass (g/mol) Write a function ca...

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Remove Duplicate Words from a Sentence
Given a sentence as a string, remove all duplicate words while keeping their first occurrence and maintaining the original word ...

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Resuelto

Remove Duplicate Words from a Sentence.
Given a sentence, remove any duplicate words, leaving only the first occurrence of each word. The output sentence should have wo...

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Basic Identity Function
Create a function that takes an input x and returns the same value as output.

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Resuelto

Add 2 to any number.
Add 2 to any number.

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Matrix Rotation by 90 Degrees
In this problem, you are tasked with rotating a given matrix by 90 degrees in a counter-clockwise direction. The input will be a...

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Resuelto

Estimating Monthly Electricity Cost for a Household Appliance
You recently bought an electric kettle for your kitchen, and you want to estimate how much it costs to run every month. The kett...

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Voltage Divider Calculation
A voltage divider is a simple circuit used to obtain a reduced voltage from a higher voltage source using two resistors in serie...

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Resuelto

LED Current Calculation
In an electrical circuit, the current (III) flowing through an LED is determined using Ohm’s Law: Where: I is the current ...

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Resuelto

Inductor Energy Storage Calculation
The energy (EEE) stored in an inductor is given by the formula: Where: E is the energy in joules (J) L is the inductance in...

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Resuelto

Estimating Battery Lifetime Based on Load Profile and Depth of Discharge (DoD)
In a Battery Management System (BMS), the lifetime of a battery depends on various factors, including the Depth of Discharge (Do...

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Estimating the Range of an Electric Vehicle (EV)
In Electric Vehicles (EVs), the driving range is the estimated distance a vehicle can travel on a fully charged battery. The ran...

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Estimating Battery Backup Time for an Inverter
In a Battery Management System (BMS), estimating the backup time of a battery-powered inverter helps determine how long it can s...

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Battery Charge Rate Calculation
In a Battery Management System (BMS), the charge rate () of a battery can be calculated using the formula: where: is th...

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Resuelto

Battery State of Health (SoH) Calculation
In a Battery Management System (BMS), the State of Health (SoH) of a battery is an indicator of its overall condition. It is cal...

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Battery Charge Efficiency Calculation
In a Battery Management System (BMS), the efficiency of battery charging can be estimated using the formula: where: is the...

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Battery Voltage Drop Estimation
In a Battery Management System (BMS), the voltage drop (V_drop) due to the load can be calculated using the formula:V_drop=I×R ...

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Battery Discharge Time Estimation
In a Battery Management System (BMS), the estimated discharge time (T) of a battery can be calculated as: where: is the ...

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State of Charge (SoC) Estimation for a Battery
The State of Charge (SoC) of a battery represents its remaining charge as a percentage. It can be calculated using the formula: ...

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Battery Life Estimation for a Device
A battery-powered device consumes a constant current while operating. The estimated battery life (T) can be calculated using the...

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Resuelto

Calculate Charge Using Capacitance and Voltage
The charge (Q) stored in a capacitor is given by the formula:Q=C×V where: C is the capacitance (in farads) V is the voltage (...

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Resuelto

Energy Stored in a Capacitor
The energy (E) stored in a capacitor is given by the formula: where: C is the capacitance (in farads) V is the voltage (in ...

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Ohm’s Law - Calculate Resistance
Ohm’s Law states that resistance R can be calculated as:R=VI where: V is the voltage (in volts) I is the current (in amperes...

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Resuelto

Simple Electrical Power Calculation
Calculate the electrical power using the formula: P=V×I where: V is the voltage (in volts) I is the current (in amperes)

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Calculate Current in a Series Circuit Using KVL
Kirchhoff's Voltage Law (KVL) states that the sum of voltages around a closed loop is zero. Given a voltage source (V) and three...

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Resuelto

Calculating the Total Resistance in a Series Circuit
Description: In a series circuit, the total resistance is the sum of the individual resistances. This problem asks you to write ...

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