Matrix of r, Let R be the relation on S = {1, 2, 3, 4, 5} defined by R =...

Let R be the relation on S = {1, 2, 3, 4, 5} defined by R = {(1,3); (1, 1); (3, 1); (1, 2); (3, 3); (4, 4)}. (b) Write down the matrix of R. (c) Draw the digraph of R.

How many cubic centimetres of cork dust will be required?, A cylindrical ve...

A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar vessel of diameter 16 cm and height 42 cm. The total space between two vessels is fi

Show that aq= 1/2 perimeter of triangle abc, A circle touches the side BC o...

A circle touches the side BC of a triangle ABC at P and touches AB and AC when produced at Q and R. Show that AQ= 1/2 (perimeter of triangle ABC) Ans:    Since the length o

System of linear equations, create a system of linear equations that has (2...

create a system of linear equations that has (2,3)as a solution.

Algorithm for division helping a child grasp, E1) Why don't you think of so...

E1) Why don't you think of some activities for the same purpose now? E2) Suggest, in detail, another activity for helping a child grasp the algorithm for division. We come to

Explanation of rational expression,

What is the square root of 36, What is the square root of 36? To search...

What is the square root of 36? To search the square root (√) you ask yourself, "What number multiplied through itself gives me 36?" 6 .6 = 36; thus, 6 is the square root of 36.

Examples on log rules, Examples on Log rules: Example:      Calculate...

Examples on Log rules: Example:      Calculate (1/3)log 10   2. Solution: log b n√A = log b A 1/n = (1/n)log b A (1/3)log 10 2 = log 10 3 √2 = log 10 1.

Linear Equations, y= -3x tell if it is linear or not. our teacher wants it ...

y= -3x tell if it is linear or not. our teacher wants it graphed or something.

Graph f(x) = ex and g(x) = e- x - common graph, Graph f ( x ) = e x and g ...

Graph f ( x ) = e x and g ( x ) = e - x . Solution There actually isn't a lot to this problem other than ensuring that both of these exponentials are graphed somewhere.