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Matlab Basics II - Free Fall
An object freely falling from rest under gravity covers a distance x given by: x = 1/2 gt^2 write a function that calculat...

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Circumscribed circles
Given the lengths of the 3 sides of a triangle, output the radius of the circumscribed circle. Example: [3 4 5] -> 2.5

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Compute a dot product of two vectors x and y
x and y are input vectors, d is a number and contains their dot product

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Unit Matrix
Given n, you should return an n-by-n unit matrix. Example: If input is n=2 then A = [ 1 0 0 1 ] If input ...

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Round to Nearest Multiple of 10^n

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Swap rows

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size

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area

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Row sum

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Diagonal Prod

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sign function

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The sum of the numbers in the vector
eg. [1,2,3]---->SUM=6

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Arrange vector in ascending order
Arrange a given vector in ascending order. input = [4 5 1 2 9]; output = [1 2 4 5 9];

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Create a square matrix of multiples
Given an input, N, output a matrix N x N with each row containing multiples of the first element of each row. This also applies...

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Golden ratio
Calculate the golden ratio. Hint: phi^2 = phi + 1.

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Area of a pentagon
Given the side of a regular pentagon and its apothem return the area of pentagon. Remember the area of pentagon is calculate ...

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Remove All elements less than 5
Given an input vector x, remove all elements of x less than 5 . Example: Input x = [ 1 2 5 7 3 ] Output y is [ 5 7 ...

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Initialize a Natural Number matrix.
Given length of matrix initialize a matrix consisting of natural numbers from 1 to n: n = 10; x = [ 1 2 3 4 5 6 7 8 9 10]; ...

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Rotate counterclockwise a matrix 90 deg with left-bottom element
Example: Input [ 1 2 3 4 5 6 ] Output [ 3 6 2 5 1 4 ]

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Draw a x-by-x matrix 'Denmark flag'(Euro(2020)
Draw a x-by-x matrix 'Denmark flag' using '4' and '1'.(x is odd and bigger than 4) Number 4: Caption S.Kjær and number 1: K.S...

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Area of square
Find the area of a square whose diagonal length is given as x.

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Draw matrix 'Swiss flag'( Euro 2020)
Draw a x-by-x matrix 'Swiss flag' using '0' and '1'.(x is odd and bigger than 4) Example x=5 ...

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Volume Pillar
Calculate the volume of a pillar with radius l and heigth ar.

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Given a square and a circle, please decide whether the square covers more area.
You know the side of a square and the diameter of a circle, please decide whether the square covers more area.

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Approximation of Pi
Pi (divided by 4) can be approximated by the following infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... For a given numbe...

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Pi Estimate 1
Estimate Pi as described in the following link: <http://www.people.virginia.edu/~teh1m/cody/Pi_estimation1.pdf>

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Calculate area of sector
A=function(r,seta) r is radius of sector, seta is angle of sector, and A is its area. Area of sector A is defined as 0.5*(r^2...

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Volume of a box
Given a box with a length a, width b, and height c. Solve the volume of the box.

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Where is she?
Given the numbers 12, 3, 6, 9 Tell where the girl is located. That is: Look to your 3 o'clock = look right Example ...

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Perimeters/Circumference
Given an array. Determine whether the perimeter is of a circle, triangle or square. Then calculate the perimeter.

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