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Sum of series VII

What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?

2 years ago

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Sum of series VI

What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?

2 years ago

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Sum of series V

What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?

2 years ago

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Sum of series IV

What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?

2 years ago

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Sum of series III

What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?

2 years ago

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Sum of series II

What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?

2 years ago

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Sum of series I

What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?

2 years ago

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Rescale Scores

Each column (except last) of matrix |X| contains students' scores in a course assignment or a test. The last column has a weight...

2 years ago

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Longest run of consecutive numbers

Given a vector a, find the number(s) that is/are repeated consecutively most often. For example, if you have a = [1 2 2 2 1 ...

2 years ago

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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| ...

2 years ago

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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 ...

2 years ago

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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...

2 years ago

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Swap the input arguments

Write a two-input, two-output function that swaps its two input arguments. For example: [q,r] = swap(5,10) returns q = ...

2 years ago

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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]

2 years ago

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Return the first and last characters of a character array

Return the first and last character of a string, concatenated together. If there is only one character in the string, the functi...

2 years ago

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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.

2 years ago

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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.

2 years ago

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Is this triangle right-angled?

Given three positive numbers a, b, c, where c is the largest number, return *true* if the triangle with sides a, b and c is righ...

2 years ago

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Is this triangle right-angled?

Given any three positive numbers a, b, c, return true if the triangle with sides a, b and c is right-angled. Otherwise, return f...

2 years ago

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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 s...

2 years ago

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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...

2 years ago

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Area of an Isoceles Triangle

An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle. <<https://imgur...

2 years ago

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Area of an equilateral triangle

Calculate the area of an equilateral triangle of side x. <<https://i.imgur.com/jlZDHhq.png>> Image courtesy of <http://up...

2 years ago

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Side of an equilateral triangle

If an equilateral triangle has area A, then what is the length of each of its sides, x? <<https://i.imgur.com/jlZDHhq.png>> ...

2 years ago

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Side of a rhombus

If a rhombus has diagonals of length x and x+1, then what is the length of its side, y? <<https://imgur.com/x6hT6mm.png>> ...

2 years ago

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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...

2 years ago

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Calculate BMI

Given a matrix |hw| (height and weight) with two columns, calculate BMI using these formulas: * 1 kilogram = 2.2 pounds * 1 ...

2 years ago

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Number of 1s in a binary string

Find the number of 1s in the given binary string. Example. If the input string is '1100101', the output is 4. If the input stri...

2 years ago

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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] =...

2 years ago

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Make a random, non-repeating vector.

This is a basic MATLAB operation. It is for instructional purposes. --- If you want to get a random permutation of integer...

2 years ago