pls explain to me step by
step. pls write clearly and dont skip any steps. i will rate ur
answer immediately. thanks.
Any query in any step then comment below.. I will explain you..
Now in part b...
y' = f(t,y) ...and we already prove that f(t,y) is Lipschitz function....
So by existence and uniqueness theorem., If function is lipzhitz global on R then solution of initial value problem is unique ... This means that this problem has unique solution...
Pls explain to me step by step. pls write clearly and dont skip any steps. i will rate ur answer ...
3. Suppose that (M, ρ) is a compact metric space and f : (M, p)-+ (M,p) is a function such that (Vz, y E M) ρ (z, y) ρ (f (x), f (y)). a. Let x E (M, ρ) and consider the sequence of points {f(n) (X)}n 1 . (Remember: fn) denotes the composition of f with itself, n times, so for each n, f+() rn, k E N) such that ρ (f(m) (x) ,f(n +k) (r)) < ε ....
Have to get an idea of how i am doing on this problem. Whould be
nice to get a good explaination for each part of the problem. d1
and d2 is the two different metrics, p ,Y.
Problem 2. Consider first the following definition: Definition. Let X be a set and let pand be two metrics on X. We say that p and are equivalent if the open balls in (X, p) and (x,y) are "nested". More precisely, p and...
Hi there, I literally got stuck on this question, it would be
great if someone can give me help, many thanks in advance!
A polynomial on R is a function p : R -R of the form p(x) - aj' where each ai E R and at most finitely many ai are nonzero. Let P denote the set of all polynomials on R (a) What is the dimension of P, regarded as a vector space over R? You do not...
I am new to this topic. pls help with steps and explain.
(9) Combinational Logic Design 7 marks Consider the seven-segment display for hexadecimal computation as shown in Fig. P-9A. The hexadecimal number wxyz is used to represent 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. a f g b с I (294567 BERBEDEF Fig. P-9A (9a) 3 marks Fill in the truth table for the strokes a, b, c, d,...
please help with discrete math HW. please write clearly and dont
make up an answer.............i will rate for the best answer thank
you. will appreciate if you can answer all 5 parts.
(L,) complete lattice and f L >L an order-preserving function (i) Let a, bE L with a b. Define a, b]= {z € L | a b} Show that (a, b], 3) is a complete lattice (ii) Consider X = {x € L \ f(x) = x}. The...
in this problem I have a problem understanding the
exact steps, can they be solved and simplified in a clearer and
smoother wayTo understand it .
Q/ How can I prove (in detailes) that the following examples match their definitions mentioned with each of them? 1. Definition 1.4[42]: (G-algebra) Let X be a nonempty set. Then, a family A of subsets of X is called a o-algebra if (1) XE 4. (2) if A € A, then A = X...
1. Are £i and C2 skew lines? Explain your answer and find the distance between them if they are skew lines. 3 marks 2. Let S be the region given by S-((z, y) E R: z2 + y2 4,z? + y2-4y2 0,#2 0, y 20} 1 mark (a) Sketch the region S; (b) Consider the change of variables given by u2 , a2 +y-4y. Describe the region S as set in terms of the variables u and v. Call this...
New problems for 2020 1. A topological space is called a T3.space if it is a T, space and for every pair («,F), where € X and F(carefull), there is a continuous function 9 :X (0,1 such that f(x) 0 and f =1 on F. Prove that such a space has the Hausdorff Separation Property. (Hint: One point subsets are closed.] 2. Let X be topological space, and assume that both V and W are subbases for the topology. Show...
what is the answer for number
4
1. Let r(t) = -i-e2t j + (t? + 2t)k be the position of a particle moving in space. a. Find the particle's velocity, speed and direction at t = 0. Write the velocity as a product of speed and direction at this time. b. Find the parametric equation of the line tangent to the path of the particle at t = 0. 2. Find the integrals: a. S (tezi - 3sin(2t)j +...