area of an annulus
Given the diameter d of the inner circle of the annulus. Given length z of a chord of the outer circle of the annulus. This chor...
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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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Verify Law of Large Numbers
If a large number of fair N-sided dice are rolled, the average of the simulated rolls is likely to be close to the mean of 1,2,....
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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(...
Energy of an object
Calculate the total mechanical energy of an object.
Total Energy= Potential energy + Kinetic energy
P.E.=m*g*h
K.E.=1/2...
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Triangle sequence
A sequence of triangles is constructed in the following way:
1) the first triangle is Pythagoras' 3-4-5 triangle
2) the second...
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Length of a short side
Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...
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Dimensions of a rectangle
The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...
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Nearest Numbers
Given a row vector of numbers, find the indices of the two nearest numbers.
Examples:
[index1 index2] = nearestNumbers([2 5 3...
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Remove all the words that end with "ain"
Given the string s1, return the string s2 with the target characters removed.
For example, given
s1 = 'the main event'
your ...
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Cell joiner
You are given a cell array of strings and a string delimiter. You need to produce one string which is composed of each string fr...
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De-dupe
Remove all the redundant elements in a vector, but keep the first occurrence of each value in its original location. So if
a =...
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Quote Doubler
Given a string s1, find all occurrences of the single quote character and replace them with two occurrences of the single quote ...
Vector creation
Create a vector using square brackets going from 1 to the given value x in steps on 1.
Hint: use increment.
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Doubling elements in a vector
Given the vector A, return B in which all numbers in A are doubling. So for:
A = [ 1 5 8 ]
then
B = [ 1 1 5 ...
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Create a vector
Create a vector from 0 to n by intervals of 2.
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Flip the vector from right to left
Flip the vector from right to left.
Examples
x=[1:5], then y=[5 4 3 2 1]
x=[1 4 6], then y=[6 4 1];
Request not to use d...