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Solved
Rotating the plane region bounded by two polynomials
Let p and q be n-degree and m-degree polynomials with n >= m >= 1. Consider clockwise rotate the plane region bounded by these t...
4 hours ago
Solved
Rotating 2d curve around a vertical axis
Let p be an even-degree polynomial such that has a unique vertex (single global extremum). Consider the counterclockwise rotatio...
1 day ago
Solved
Breaking straight lines
Let P be a point in Oxy plane and let p be a 1×2 array representing an one-degree or zero-degree polynomials, if its first entry...
2 days ago
Solved
Comparing to scale all terms versus one term of even-degree polynomial by the same scale factor
Let p be an even-degree polynomial with positive leading coefficient. Consider the scale factor, k, that vertically transforms ...
3 days ago
Solved
Scaling vertically parabola by evaluating its area over an interval
Let p be a quadratic polynomial, with its axis of symmetry being the y-axis. Considering the vertical shift of its vertex to the...
4 days ago
Solved
Scaling vertically functions
Given a real function by the 1×n array, x, of inputs and the 1×n array, y, of outputs, consider shifting vertically its graph by...
5 days ago
Solved
Covering rectangle area of a four-pointed star polygon
Given the four-pointed star polygon formed by the rectangle, with dimensions l1xl2, and four triangles, with height, h, from the...
6 days ago
Solved
Translating even-degree polynomial by its vertex to the origin
Let p be an even-degree polynomial such that has a unique vertex (single global extremum). Consider its translation by shifting ...
7 days ago
Solved
Shifting vertically even-degree polynomial's graph by its mean over an interval
Let p be an even-degree polynomial with positive leading coefficient. Consider its vertical translation by shifting its graph by...
8 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 ...
9 days ago
Solved
Covering a 4-pointed star polygon by a circle sector
Given the area, A, of a 4-pointed star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h ...
10 days ago
Solved
Covering a four-pointed star polygon by circles
Given the area, A, of a star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h from their...
11 days ago
Solved
Covering a four-pointed star polygon by rectangles
Given the area, A, of a star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h from their...
12 days ago
Solved
Slicing the area of a regular polygon
Given the area, A, of a regular polygon with n sides, each of length s, consider its decomposition in congruent isosceles triang...
13 days ago
Solved
Total Area Covered by Overlapping Polygons
Given a variable length set of polygon vertex coordinates, compute the total area covered. For example, take two polygons with t...
14 days ago
Problem
Rotating 2d curve around a vertical axis
Let p be an even-degree polynomial such that has a unique vertex (single global extremum). Consider the counterclockwise rotatio...
2 months ago | 0 | 5 solvers
Problem
Rotating the plane region bounded by two polynomials
Let p and q be n-degree and m-degree polynomials with n >= m >= 1. Consider clockwise rotate the plane region bounded by these t...
2 months ago | 1 | 5 solvers
Problem
Breaking straight lines
Let P be a point in Oxy plane and let p be a 1×2 array representing an one-degree or zero-degree polynomials, if its first entry...
2 months ago | 0 | 9 solvers
Problem
Comparing to scale all terms versus one term of even-degree polynomial by the same scale factor
Let p be an even-degree polynomial with positive leading coefficient. Consider the scale factor, k, that vertically transforms ...
2 months ago | 0 | 5 solvers
Problem
Scaling vertically parabola by evaluating its area over an interval
Let p be a quadratic polynomial, with its axis of symmetry being the y-axis. Considering the vertical shift of its vertex to the...
3 months ago | 0 | 12 solvers
Problem
Scaling vertically functions
Given a real function by the 1×n array, x, of inputs and the 1×n array, y, of outputs, consider shifting vertically its graph by...
3 months ago | 0 | 14 solvers
Problem
Shifting vertically even-degree polynomial's graph by its mean over an interval
Let p be an even-degree polynomial with positive leading coefficient. Consider its vertical translation by shifting its graph by...
3 months ago | 0 | 5 solvers
Problem
Translating even-degree polynomial by its vertex to the origin
Let p be an even-degree polynomial such that has a unique vertex (single global extremum). Consider its translation by shifting ...
3 months ago | 2 | 8 solvers
Discussion
Alerting new comments in 'My Groups' page
In the sequence of previous suggestion in Meta Cody comment for the 'My Problems' page, I also suggest to add a red alert for ne...
3 months ago | 0
Solved
Translating parabola by its vertex to the origin
Given a quadratic polynomial, p(x) = ax^2 + bx + c (a ~= 0), represented by the vector [a b c], consider the translation of the ...
3 months ago
Problem
Translating parabola by its vertex to the origin
Given a quadratic polynomial, p(x) = ax^2 + bx + c (a ~= 0), represented by the vector [a b c], consider the translation of the ...
3 months ago | 0 | 10 solvers
Problem
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 ...
3 months ago | 1 | 10 solvers
Solved
Radioactive Decay Chain
A radioactive decay chain consists of a series of nuclides, each decaying into the next. Suppose we have a chain of N isotopes:...
3 months ago
Solved
Word Counting and Indexing
You are given a list of strings, each being a list of words divided by spaces. Break the strings into words, then return a maste...
4 months ago
