real numbers, Mathematics

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how to present root numbers on a number line

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Show that af+bd+ce=ae+bf+cd= 1/2 , In figure, the incircle of triangle ABC...

In figure, the incircle of triangle ABC touches the sides BC, CA, and AB at D, E, and F respectively. Show that AF+BD+CE=AE+BF+CD= 1/2   (perimeter of triangle ABC), Ans:

Error analysis: describle and correct the error in plotting, to plot (5,-4)...

to plot (5,-4), start at (0,0) and move 5 units left and 4 units down

The shape of a graph, The Shape of a Graph, Part II : In previous we saw h...

The Shape of a Graph, Part II : In previous we saw how we could use the first derivative of a function to obtain some information regarding the graph of a function.  In this secti

prove area of rhombus on hypotenuse right-angled triangle, Prove that the ...

Prove that the area of a rhombus on the hypotenuse of a right-angled triangle, with one of the angles as 60o, is equal to the sum of the areas of rhombuses with one of their angles

Differential equation and laplace transform, 1. Solve the given differentia...

1. Solve the given differential equation, subject to the initial conditions: . x2y''-3xy'+4y = 0 . y(1) = 5, y'(1) = 3 2. Find two linearly independent power series soluti

Classify quadrilaterals, which quadrilaterals have only 1 pair of parallel ...

which quadrilaterals have only 1 pair of parallel sides

Find out the slope of equations, Example:  find out the slope of equations ...

Example:  find out the slope of equations and sketch the graph of the line.                         2 y - 6x = -2 Solution To get the slope we'll first put this in slope

ALGEBRA, FIND PRODUCT (-41)*(102)

FIND PRODUCT (-41)*(102)

Linear equations, A police academy is training 14 new recruits. Some are wo...

A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruits are there?

Find prime implicants, Let E = xy + y't + x'yz' + xy'zt', find (a)   Pri...

Let E = xy + y't + x'yz' + xy'zt', find (a)   Prime implicants of E,  (b)  Minimal sum for E.  Ans:  K -map for following boolean expression is given as: Prime implic

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