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Sum of series VIII

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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?

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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?

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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?

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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?

1 year 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?

1 year 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?

1 year ago

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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?

1 year ago

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Create an index-powered vector
Given a input vector x, return y as index-powered vector as shown below. Example x = [2 3 6 9] then y should be [...

1 year ago

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Find last zero for each column
Given a numeric array of arbitrary size, return the row index of the last zero for each column. If a column contains all nonzero...

1 year ago

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Count consecutive 0's in between values of 1
So you have some vector that contains 1's and 0's, and the goal is to return a vector that gives the number of 0's between each ...

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Total energy

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Potential energy calculation

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Kinetic energy calculation

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Laws of motion 1

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Laws of motion 2

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Laws of motion 3

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Laws of motion 4
Given the initial velocity 'u', final velocity 'v' and acceleration 'a', find the distance travelled.

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Laws of motion 5
Calculate the force is u are given mass and acceleration.

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Laws of motion 6

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Calculate the Number of Sign Changes in a Row Vector (No Element Is Zero)
For a row vector: V=[7 1 2 -3] there is one sign change (from 2 to -3). So, the function you write must return N=1. F...

1 year ago

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Symmetry of vector
Determine whether the vector is symmetric or not (vector could be even or odd in length). For example: x = [1 2 3 3 2 1] is s...

1 year ago

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Height of a right-angled triangle
Given numbers a, b and c, find the height of the right angled triangle with sides a and b and hypotenuse c, for the base c. If a...

1 year ago

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Find the sides of an isosceles triangle when given its area and height from its base to apex
Find the sides of an isosceles triangle when given its area and the height from its base to apex. For example, with A=12 and h=...

1 year ago

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Can we make a triangle?
Given three positive number, check whether a triangle can be made with these sides length or not. remember that in a triangle su...

1 year ago

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Calculate the area of a triangle between three points
Calculate the area of a triangle between three points: P1(X1,Y1) P2(X2,Y2) P3(X3,Y3) these three points are the vertices of ...

1 year ago

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Find my daddy long leg (No 's')
Given the ratio of the two legs (longer / shorter), and the hypotenuse length, find the value of the bigger leg.

1 year ago

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

1 year ago

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Convert radians to degrees
Given input in radians, output to degrees

1 year ago

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Perimeter of a semicircle
Given the diameter d, find the perimeter of a semicircle

1 year ago