A résolu


Angle between Two Vectors
The dot product relationship, a dot b = | a | | b | cos(theta), can be used to determine the acute angle between vector a and ve...

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A résolu


Characterize fluid flow in a pipe as to laminar or turbulent
In fluid mechanics, characterizing the flow in a pipe is essential to predicting its behavior. The flow pattern can either be la...

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A résolu


Find a Pythagorean triple
Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...

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A résolu


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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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>> ...

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A résolu


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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A résolu


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...

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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>> ...

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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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Find max
Find the maximum value of a given vector or matrix.

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Create a vector
Create a vector from 0 to n by intervals of 2.

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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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A résolu


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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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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Pizza!
Given a circular pizza with radius _z_ and thickness _a_, return the pizza's volume. [ _z_ is first input argument.] Non-scor...

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

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

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

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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 ...

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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...

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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 vert...

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Getting the indices from a vector
This is a basic MATLAB operation. It is for instructional purposes. --- You may already know how to <http://www.mathworks....

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Project Euler: Problem 1, Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23...

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Project Euler: Problem 6, Natural numbers, squares and sums.
The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ...

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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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Calculate the height of an object dropped from the sky
Assume that an object is dropped from 1000 meters above the surface of the earth at time t=0. The object is dropped such that t...

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Kepler's Equation
Solve <http://en.wikipedia.org/wiki/Kepler's_equation Kepler's Equation>. Note that the solution is rounded down to 5 decima...

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Inner product of two vectors
Find the inner product of two vectors.

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radius of a spherical planet
You just measured its surface area, that is the input.

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Triangle Numbers
Triangle numbers are the sums of successive integers. So 6 is a triangle number because 6 = 1 + 2 + 3 which can be displa...

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