This video is Open Access, which means anyone can view it!
Represent graphically the following function: y = |2*x+4| + |3*x- 3| + |2- x|
tags: algebra function graph problem unizor
Represent graphically the following functions: y = |x| and y = |x- 1| + |x+1|
How will the function graph transform if we add a constant to an argument or to a function? How will it transform if we multiply an argument or a function by a constant? Consider different values of constants.
tags: function graph problem unizor
Express a square root of a complex number i in a standard complex form a+b*i. In other words, find real numbers a and b such as a complex a+b*i, being squared, will result in complex i.
tags: algebra complex imaginary math numbers problem root square unizor
Given a set of N different elements. Let's say, elements of this set are numbers from 1 to N. How many subset does this set have?
tags: education exercise induction math problem sets unizor.com
Given two sets. Set A contains elements: book, pen, football, building, planet. Set B contains elements: football, golf ball, tennis ball. What set is a result of an operation of intersection between sets A and B?
Given a set: book, pen, football, building, planet. How many elements does this set have? What are they? What subsets, including trivial, does this set have? What elements belong to a subset of "man- made things"?
Prove using the method of mathematical induction that N straight lines on a plain cross in N*(N- 1)/2 points provided there are no parrallel lines among them and no points where more than 2 lines cross each other.
Prove using the method of mathematical induction that the sum of internal angles of convex polygon with N sides is equal to 180*(N- 2) degrees.
Prove using the method of mathematical induction that the sum of the first N odd numbers is N*N (i.e. N squared).
tags: induction math numbers odd problem sum unizor.com
Premium Member since 04/26/08
