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Prove that, the complement of each element in a Boolean algebra B is unique. Ans: Proof: Let I and 0 are the unit and zero elements of B correspondingly. Suppose b and c b
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
one half y minus 14
Area between Curves In this section we will be finding the area between two curves. There are in fact two cases that we are going to be looking at. In the first case we des
find the volume of a rectangular based right pyramid with its base 18 cm by 24 cm and the slanted edge 39 cm
Find the number of six-digit positive integers that can be formed using the digits 1,2, 3, 4, and 5 (every of which may be repeated) if the number must start with two even digits o
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=
In these problems we will begin with a substance which is dissolved in a liquid. Liquid will be entering as well as leaving a holding tank. The liquid entering the tank may or may
1. Write down the canonical equations of the line passing through the point A(2,3, 4) and being parallel to the vector q ={5,0,-1}.
Average cost function : Now let's turn our attention to the average cost function. If C ( x ) is the cost function for some of the item then the average cost function is,
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