Find the closure of the following set {r ∈ Q : r2 < 2}.
Consider the set A = {(x,0) ER|XE R} in R2 with the vertical line topology. Find the limit points of A. Consider the set A = {(x,0) ERP |x E R} in R2 with the vertical line topology. Find the boundary of A. Consider the set A = {(x,0) ERP|X E R} in R2 with the standard topology. Find the boundary of A.
Q. 4 Find <r> and <r2> for an electron in the first excited state of hydrogen atom.
7. Two resistances R 10.0 Q and R2=20.0 2 are connected in a series with a source of e.m.f. E-12.0 V and negligible internal resistance (r 0). (11+1 +2-5) (a) Draw a circuit diagram and label. (b) Find the equivalent resistance of the combination. What is the current flowing in the circuit?
-Find the voltage and current equations of the following circuit:
R1 R-2 Ohm R2 R-4 Ohm . R3 R-10 Ohnm
̑
δ(p,c)+ ̑δ(q,b)+ ̑δ(r,c) where
̑δ=delta-head
Perform e-closure on expression and show steps
2 97
Problem 6 Find the optimum values ofr, r2,r and ra that minimize the weight of the the following gear-train system: oueo,--4 and L-24 inches r3 2 Problem 7. Find the optimum values of ri, r2. r r and rs that minimize the weight of the the following gear-train system: (os/o 6 and L-18 inches) r4 5
Problem 6 Find the optimum values ofr, r2,r and ra that minimize the weight of the the following gear-train system: oueo,--4 and L-24 inches...
Find the interior, closure, and boundary of:
aQCR b)R CRP c) A = {(2,y) y >0} CR?
This question is about "Real Analysis".
Start with a set S c R and successively take its closure, the complement of its closure, the closure of that, and so on: S, cl(S), (cl(S))c,.... Do the same to Se. In total, how many distinct subsets of R can be produced this way? In particular decide whether each chain S, cl(S), consists of only finitely many sets. For example, if S = Q then we get Q, R, , , R, R,...
2. Įpp. 492, Marsden & Hoffman Let y : [a,b] → R and ψ : R → R be continuous. Show that A = {(x,o(x)) : x [a,아 C R2 has volume zero in R2 and the set B-{(x, ψ (x)) : x E R} C R2 has measure zero in IK.
2. Įpp. 492, Marsden & Hoffman Let y : [a,b] → R and ψ : R → R be continuous. Show that A = {(x,o(x)) : x [a,아...
10. Represent the following relation R on the set (. t,s t) as a digraph and as a acro-ooe ati eachi b) Circle the properties of R antisymmetric itive 2 peins) reflexive symmetric 떼 1 find the symmetric and transitive closures ofS (4 pirtepi 1 c)If Ms-10 Transitive Closure Symmetric Closure_-