3. Find the following: (a) the elements of <3 > in (Z12, +); (b) the elements...
QUESTION 3 To show that f(x) is O(g(x) using the definition of big o, we find Cand k such that f(x) < Cg(x) for all x > k. QUESTION 4 Finding the smallest number in a list of n elements would use an OU) algorithm.
5. Suppose H and K are subgroups of G and H 10, and |K-21. Prove that 6. Consider the subgroup <3 > of Z12. Find all the cosets of < 3>. How many distinct cosets are there?
(3) Prove that the symmetric group Sn is nonabelian for all n > 3.
Please help me solve this differential Equation
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Find a continuous solution satisfying +y-f(x), where f() Ji 10 { 0<r<1 > 1 and y(0) -0.
Problem 3.a. (4 pt) Find the Laplace transform of f(t) = | 1, for 0 <t<1 5, for 1 <t< 2 le-t for t > 2
In the circuit shown in Figure 20.13, find the parameter Z12. * < ku Figure 20.13 O a. 212 = Rs/(s+ RIL) O b. 212 = SL C. Z12 = R + SL O d. 212 = R
Suppose that the cdf of random variable X is Skex-3, X <4 11, X >4 Find k. (2 Points) Find the expected value of X. (2 Points)
Find the Laplace transform of f(0) = 1, for 0 <t<1 5, for 1<t<2. e-l for t > 2
(*) Find the cigenvalues and eigenfunctions for the following problem: - = A, 0 < x <l, y(0) = 2y(1), y'(0) =y'l), where I > 0 is is a parameter.
1. Let a=(ay, ay) and b= (6,62) be vectors in Rº. a. Verify that <a, b >= 20,62 +5 a,b2 satisfies the inner product axioms. b. a=(-1,3), b= (2,5) Find da,b).