Calculate a Damped Sinusoid
The equation of a damped sinusoid can be written as
y = A.ⅇ^(-λt)*cos(2πft)
where A, λ, and f are scalars and t is a vector.
...
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Find the Oldest Person in a Room
Given two input vectors:
* |name| - user last names
* |age| - corresponding age of the person
Return the name of the ol...
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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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Fibonacci sequence
Calculate the nth Fibonacci number.
Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...
Examples:
Input...
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The Birthday Phenomenon
First off, leap years are not being considered for this. In fact the year that people are born shouldn't be taken into considera...
Numerical Integration
Input
* |x0|, a real number greater than 0
Output
* |I|, a numerical estimate of the integral
x0
/
I...
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Differential equations I
Given a function handle |f| an initial condition |y0| and a final time |tf|, solve numerically the differential equation
dy...
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There are 10 types of people in the world
Those who know binary, and those who don't.
The number 2015 is a palindrome in binary (11111011111 to be exact) Given a year...
Chess probability
The difference in the ratings between two players serves as a predictor of the outcome of a match (the <http://en.wikipedia.org/...
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Roll the Dice!
Description
Return two random integers between 1 and 6, inclusive, to simulate rolling 2 dice.
Example
[x1,x2] = rollDice(...
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Solve a System of Linear Equations
Example:
If a system of linear equations in x₁ and x₂ is:
2x₁ + x₂ = 2
x₁ - 4 x₂ = 3
Then the coefficient matrix (A) is:
2 ...
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Magic is simple (for beginners)
Determine for a magic square of order n, the magic sum m. For example m=15 for a magic square of order 3.
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Reverse the vector
Reverse the vector elements.
Example:
Input x = [1,2,3,4,5,6,7,8,9]
Output y = [9,8,7,6,5,4,3,2,1]
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Sum all integers from 1 to 2^n
Given the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.
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Calculate Amount of Cake Frosting
Given two input variables r and h, which stand for the radius and height of a cake, calculate the surface area of the cake you n...
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Make the vector [1 2 3 4 5 6 7 8 9 10]
In MATLAB, you create a vector by enclosing the elements in square brackets like so:
x = [1 2 3 4]
Commas are optional, s...