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In figure, XP and XQ are tangents from X to the circle with centre O. R is a point on the circle. Prove that XA+AR=XB+BR Ans: Since the length of tangents from externa
Volumes for Solid of Revolution Before deriving the formula for it we must probably first describe just what a solid of revolution is. To find a solid of revolution we start o
State the following statement as a disjunction (in DNF) as well using quantifiers: There does not exit a woman who has taken a flight on each airline in the world.
Given f ( x ) = 3x - 2 determine f -1 ( x ) . Solution Now, already we know what the inverse to this function is as already we've done some work with it. Though, it
Differentiate y = x x Solution : We've illustrated two functions similar to this at this point. d ( x n ) /dx = nx n -1 d (a x ) /dx= a
Assume E is the event that a randomly generated bit string of length 4 starts with a 1 and F is the event that this bit string consists of an even number of 1's. Are E and F indepe
if 500kg of food lasts 40 days for 30 men.how many men will consume 675kg of food in 45 days.
4.2^2x+1 - 9.2^x + 1=0
A sphere and a cube have equal surface areas. Show that the ratio of the volume of the sphere to that of the cube is √6 : √π. Ans: S.A. of sphere = S.A of cube 4π r 2
A fox and an eagle lived at the top of a cliff of height 6m, whose base was at a distance of 10m from a point A on the ground. The fox descends the cliff and went straight to the p
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