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If X = {a, e, i, o, u} and Y = {a, b, c, d, e}, then what is Y - X ?
(a) Find an example of groups G, H, K with K H and H G but K G. (b) A subgroup H of G is characteristic if σ(H) ⊆ H for every group automorphism σ of G. Show that eve
sin2A+cos2A
(19 + 7 i)
A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put i
Magnitude - Vector The magnitude, or length, of the vector v → = (a1, a2, a3) is given by, ||v → || = √(a 1 2 + a 2 2 + a 2 3 ) Example of Magnitude Illus
Find the full fourier Series of e^x on (-l,l)in its real and complex forms. (hint:it is convenient to find the complex form first)
Differentiate the following functions. (a) f (t ) = 4 cos -1 (t ) -10 tan -1 (t ) (b) y = √z sin -1 ( z ) Solution (a) Not much to carry out with this one other
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
Find the sum of all natural no. between 101 & 304 which are divisible by 3 or 5. Find their sum. Ans: No let 101 and 304, which are divisible by 3. 102, 105..........
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