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Basic Algebra II
You have the equation X^2 = n you should find the value of X. GOOD LUCK!

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Basic Physics IV
Calculate the Work.

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Basic Physics VII
Calculate the speed.

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OR
If a greater than zero or c less than 10, b = true, else, b = false.

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Basic Physics III
Calculate the Potential Energy (PE).

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Find The Area Of Triangle Using Base & Height
You should find the area of the Triangle using base and height. Good Luck!

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Basic Physics I
Calculate the energy by the famous formula of Albert Einstein.

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Multiply the Diagonals of Two Vectors
Find the diagonals of vectors a and b and multiply them.

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Given the ratio of the two legs (longer / shorter), and the hypotenuse length, find the shorter leg.
Further to the problem 43236, find the length of shorter leg P.S No built-in functions allowed

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Engine torque and RPM
Torque and power are related through rotational speed. Knowing brake power and engine RPM, you can back-calculate the torque del...

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Volumetric efficiency
Volumetric efficiency measures how well an engine breathes. The ratio of the actual air mass drawn in per cycle to the theoreti...

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Specific Fuel Consumption
Brake-specific fuel consumption (BSFC) measures how efficiently an engine converts fuel mass into useful work. Lower is better...

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Engine Displacement
Engine displacement is the total swept volume of all cylinders. It is determined by bore (cylinder diameter), stroke (piston tra...

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Piston Mean Speed
Mean piston speed is a critical mechanical stress indicator — it sets limits on valve timing, bearing loads, and material fatigu...

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Engine Thermal Efficiency
The thermal efficiency of an ideal Otto cycle engine depends only on the compression ratio. A higher compression ratio yields gr...

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Fuel-Air Equivalence Ratio (Lambda)
Lambda (λ) is the ratio of actual air-fuel ratio to the stoichiometric air-fuel ratio. λ = 1 is perfect stoichiometry, λ < 1 is ...

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Brake Mean Effective Pressure (BMEP)
BMEP is a normalised measure of engine work output per cycle per unit displacement. It lets you compare engines of different siz...

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Swept Volume and Clearance Volume
The swept volume (V_s) is the volume displaced by the piston as it travels from BDC (Bottom Dead Centre) to TDC (Top Dead Centre...

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Geometric Compression Ratio
The geometric compression ratio CR is the ratio of the total cylinder volume at BDC to the clearance volume at TDC. It is one of...

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switch base, again
Before Dyuman Joshi kindly fixed it, the test suite for problem 60436 contained some syntax errors that made the problem unsolva...

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Convert Celsius temperature to Fahrenheit
Given a temperature in Celsius, return the equivalent in Fahrenheit. Formula: F = C * 9/5 + 32Example: cel2fahr(100) returns 212...

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Find the Longest Consecutive Increasing Path in a Matrix
Given a 2D matrix of integers, find the length of the longest path where each step moves to an adjacent cell (up, down, left, ri...

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Replace All Below-Average Elements in a Matrix with Zero
Given a 2D matrix of numbers, find the mean of all elements. Replace any element that is strictly below the mean with 0. Return ...

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Reverse the characters of a string
Given a string, return the string with characters in reverse order. Example: rev_string('hello') returns 'olleh'

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Count the vowels in a string
Given a string, return the number of vowels (a, e, i, o, u — case insensitive). Example: count_vowels('Hello World') returns 3

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Sum the main diagonal of a matrix
Given a square matrix, return the sum of its main diagonal elements. Example: diag_sum([1 2 3; 4 5 6; 7 8 9]) returns 15

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Count how many elements are above the mean
Given a vector, return the count of elements strictly greater than the mean of the vector. Example: above_mean_count([1 2 3 4 5]...

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Keep Only Even Numbers
Given a vector, return a new vector containing only the even numbers in their original order. Example: keep_evens([1 2 3 4 5 6])...

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Determine if a number is prime
Given a positive integer n, return 1 if it is prime, 0 otherwise. Example: is_prime(7) returns 1, is_prime(4) returns 0

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Triangle Area Using Heron's Formula
Given the three side lengths a, b, and c of a triangle, calculate its area using Heron's formula and round to 4 decimal places. ...

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