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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}
In polynomials you have seen expressions of the form x 2 + 3x - 4. Also we know that when an expression is equated to zero or some other expression, we cal
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
A word on an alphabet is any arrangement of the letters in the alphabet. For example,ODD, DOD, DOO, DDD are three-letter words on the alphabet {D,O}. How many four-letter words are
What are the key features of Greek Mathematics? How does the emphasis on proof affect the development of Greek Mathematics?
Build a Fine Automaton which accept all words which have different first and last letters (that is if the word starts with an "a" to be accepted it should end with "b" and vice ver
sinX/cscX+secX/cosX=1
the variables x and y are thought to be related by a law of the form ay^2=(x+b)lnx Where a and b are unknown constants. Can a and b be found and how.
Reason for why limits not existing : In the previous section we saw two limits that did not. We saw that did not exist since the function did not settle down to a sing
Assumptions The figures known are assumed to be a normal series, that is a series without any violent, unexplained fluctuations in the values. The
If the radius of a sphere is doubled, the surface area is a. multiplied by 4. b. multiplied by 2. c. multiplied by 3. d. multiplied by 8. a. The formula for the surf
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