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The sum of the diameters of two circles is 2.8 m and their difference of circumferences is 0.88m. Find the radii of the two circles (Ans: 77, 63) Ans: d 1 + d 2 = 2.8 m=
Determine the tangent line to f ( x ) = 15 - 2x 2 at x = 1. Solution : We know from algebra that to determine the equation of a line we require either two points onto the li
It is the last case that we need to take a look at. Throughout this section we will look at solutions to the system, x?' = A x? Here the eigenvalues of the matrix A are compl
In this case, the first point we have to remember is that we do not get a single value when we add two or more terms which are unlike in nature. This certainly ob
Example Sketch the graph of following f( x ) = 2x and g( x ) = ( 1 /2) x Solution Let's firstly make a table of values for these two functions. Following is
for what k, q.p. kx2-8x+k can be factored into real linear factors. kx2-8x+k
6 male students and 3 female students sit around a round table. The probability that no 2 female students sit beside each other can be expressed as a/b, where a and b are coprime p
From an aero plane vertically above a straight horizontal road, the angles of depression of two consecutive milestones on opposite sides of the aero plane are observed
Sketch the graph of the below function. f ( x ) = - x 5 + (5/2 )x 4 + (40/3) x 3 + 5 Solution : Whenever we sketch a graph it's good to have a few points on the graph to
Estimate the Slope of a Line? The slope of a line is a measure of how steep it is. It is defined as y 2 - y 1 /x 2 -x 1 Where (x 1 , y 1 ) and (x 2 , y 2 ) are any two p
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