Solved

Generalizing square area to triangle area
Cody Problem 61070 asked for the height, h, of a right triangle that had the same area, A, of a square with side length, c, and ...

4 days ago

Solved

Shifting vertically a function's graph
Given a real function, f, by n input-output pairs, consider a translation in the up-down direction given by an amount k. For a ...

4 days ago

Solved

Square area to triangle area
Given the area, A, of a square with side length, c, if a right angle triangle has the same area A and the hypothenuse length 2c ...

4 days ago

Solved

Neural Nets: Activation functions
Return values of selected Activation function type for value,vector, and matrices. y=Activation(x,id); where id is 1:4 for ReLU...

4 days ago

Solved

Calculate integrals using numerical methods 3.
Now let's compare the 2 previous rules. Using the "Simpson 1/3" rule and the trapezoidal rule, NOT THE SIMPLE ONES, calculate th...

4 days ago

Solved

Calculate integrals using numerical methods 2.
Calculate the following integral(I) using the SIMPLE(thus n =1) trapezoidal rule: The llimits(a,b) of the integral will be gi...

4 days ago

Solved

Calculate integrals using numerical methods 1.
Calculate the following intergral using the SIMPLE "Simpson 1/3" rule: Further explanation: a is the upper limit of the inte...

4 days ago

Solved

Geometry time 6!(Extremely hard)
We have two circles. One small(C1) that is inside a bigger one (C2). C1 has a radius R1 and C2 has a radius R2. C1 is internally...

4 days ago

Solved

Geometry time 5! (Hard)
In the following shape you are requested to find the radius of the circle(r): Further explanation: 1) ABCD and pink shape are...

4 days ago

Solved

Swap the column given with another one!
We have a random sized matrix A. You have to change the nth column with the kth column. The result must be a matrix B. For exam...

4 days ago

Solved

Test your geometry knowledge!(simple)
We have the following shape and you need to: 1) Find the area of the triangle ABE(A_tr). (Suppose that the angle E is 90 degree...

4 days ago

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Geometry time 4!(Medium to hard)
Given the rectangle below you are requested to calculate its area(A) while the length of AE, BE and CE is given. Further explan...

4 days ago

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Not yet geometry(square, rectangle and trapezium)
Type the formula of the area of a square(Asq) of side(a), a rectangle(Arec) of length(l) and width(w) and of a trapezium(Atr) of...

4 days ago

Solved

Gometry time2!(easy to medium)
Given the same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the...

4 days ago

Solved

Gear ratio of a gear pair
Let's assume that we have a pair of two gears(pinion-bigger gear). The goal is to calculate the gear ratio(i) given the number (...

4 days ago

Solved

Geometry time!(easy)
Suppose that we have a square and its Area is given. Then we have the following circle (with center O) which has the same radius...

4 days ago

Solved

Not yet geometry(equilateral triangle)
Type the formula of the area(A) of an equilateral triangle with a side of a. Tip: As a string.

4 days ago

Solved

Not yet geometry(triangles)
Write the formula of the area of a triangle(A) that has a height of h and a base of b. Tip: Write the formula as a string.

4 days ago

Solved

Almost done with the "tutorial"(Perimeter of a circle)
Find the perimeter of a circle(P) if radius r is given.

4 days ago

Solved

Not yet geometry(Circles)
Type the formula of the area(Ac) of a circle with radius r and a sector of a circle(As) with radius r and angle theta in rads. ...

4 days ago

Solved

Geometry time3!(Medium)
This time we have two circles! The shape is given below: You are requested to calculate the area of the two circles(A1 ,A2) g...

4 days ago

Solved

Breaking up a chocolate bar
You've got a chocolate bar of size , and you want to break it up into bite-sized () pieces. How many steps are required to do th...

17 days ago

Solved

Geometric Compression Ratio
The geometric compression ratio CR is the ratio of the total cylinder volume at BDC to the clearance volume at TDC. It is one ...

17 days ago

Solved

The MATLAB Treasure Hunt – Decode the First Clue Hidden in a Jumbled Sequence of Numbers
You discover an ancient parchment inside the college archives. It contains a jumbled sequence of numbers that seems meaningless ...

17 days ago

Solved

Specific Fuel Consumption
Brake-specific fuel consumption (BSFC) measures how efficiently an engine converts fuel mass into useful work. Modern petrol e...

17 days ago

Solved

Yaw rate of the vehicle
Yaw rate defines how quickly a vehicle rotates about its vertical axis during motion. Given Vehicle speed v and Turning radius ...

17 days ago

Solved

Neural Net Image Convolution: Return only Valid portion of conv2
This challenge is to return only the Valid portion of a 2-D convolution. Valid is deemed to be where all elements of the kernel ...

17 days ago

Solved

Create the flag of Ramumbia
The little known nation of Ramumbia has a very simple flag. It is made up of vertical stripes, Red, Green, Blue, that are equall...

17 days ago

Solved

Independent direction vectors of a plane
Given the equation of a plan of the form ax+by+cz=d, return 2 independent direction vectors which could e.g. be used to determin...

17 days ago

Solved

Sequencing Odd Even numbers
Given an input value n, create a vector which contains all odd numbers & even numbers centered around mean of vector. If the me...

17 days ago