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Union and Intersection - Set theory
B ∩ C indicates the intersection of B and C. it is the set having all those elements that belong to both B and C
If B = {5, 8, 11, 20, 25} and
C = {1, 3, 5, 7, 9, 11, 13}
Then B ∩ C = {5, 11}
B U C = {1, 3, 5, 7, 8, 9, 11, 13, 20 25}
Problem 1. Find the maximum and the minimum distance from the origin to the ellipse x 2 + xy + y 2 = 3. Hints: (i) Use x 2 + y 2 as your objective function; (ii) You c
Two ships are sailing in the sea on either side of a lighthouse; the angles of depression of two ships as observed from the top of the lighthouse are 600 and 450 re
x=-3(y-2)^2+4
The perimeter of a rectangle is 21 inches. What is the measure of its width if its length is 3 inches greater than its width? Let x = the width of the rectangle. Let x + 3 = th
Now we need to move onto something called function notation. Function notation will be utilized heavily throughout most of remaining section and so it is important to understand i
46+4=
as part of the markwting mix
Example: Write down the equation of the line which passes through the two points (-2, 4) and (3, -5). Solution At first glance it might not appear which we'll be capable to
f(x)+f(x+1/2) =1 f(x)=1-f(x+1/2) 0∫2f(x)dx=0∫21-f(x+1/2)dx 0∫2f(x)dx=2-0∫2f(x+1/2)dx take (x+1/2)=v dx=dv 0∫2f(v)dv=2-0∫2f(v)dv 2(0∫2f(v)dv)=2 0∫2f(v)dv=1 0∫2f(x)dx=1
E1) Try and see the order in which different children fills numbers in the grid above. My claim is that all of them would fill in the ones, the fives and the tens first. Test my hy
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