No chstgpt plz 5. a. Complete the definition: A topological space X is normal if...b. Suppose X is a T₁-space, and that for any pair of non-empty disjoint closed setsA, BC X, there exists a continuous function f : X → [0, 1] such that f(A) = {0} andf(B) = {1}. Prove that X is normal.

A. Definition:A topological space X is normal if for every pair of disjoint closed set A & B in…

Answered: 5. a. Complete the definition: A…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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1. Write, but do not solve, the equations of motion (in the s-domain) for the translational mechanical system shown in the figure below. K₁ = 5 N/m 0000 fv₁ =2 N-s/m- 0000 K₂ = 4 N/m X3(1) M3 = 5 kg: fv3 = 3 N-s/m M₁ = 4 kg 0000 M₂ = 5 kg -f(t) K3=4 N/m fv₂ = 2 N-s/m Frictionless' x₁(1) X2(1)
For the circuit shown in figure 1, assume that the switch was closed for a long time before t = 0. The switch changes its position at t = 0. Now, answer the following: P1. Determine the initial conditions for the capacitor and the inductor (That is the voltage of the capacitor and the current through the inductor before t = 0) [Hint: Mesh analysis might be helpful] P2. Convert the circuit in s-domain for t 20 P3. Then calculate the current through the capacitor i(s) P4. Take the partial fraction of i(s) [if necessary], and then take the inverse Laplace transform of i(s) to get the current i(t) 6Ω 6Ω 6Ω i(t) t = 0 2H :0.5F 12V 4V Figure 1: Circuit for question 2 +, ll
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5. Please sketch a root locus manually for the following system. R(s) + E(s) C(s) k(s + 1) s² + 2s +2 Each branch in your root locus must be labeled with an arrow. Please answer the following questions. a. Is the closed-loop system stable as k is varying from 0 to co? Please find an answer to this question via root locus. b. What are finite zeros and poles? Are there infinite zeros? If so, how many?
Please answer ASAP and I'll upvote, thank you. In the given circuit, switch S1 is in position A and switch S2 is open. Both switches are in these states for a very long time. At t=0, switch S1 moves from position A to B while switch S2remains open. 10ms after switch S1 moves to position B, switch S2 is closed and remains closed for 20ms only. Determine the expressions for the inductor current for 0≤t<10ms, 10ms≤t<30ms, 30ms≤t<∞, and determine the time (in ms) after switch S1 moves to position B is the current in the inductor equivalent to 30% of the initial value (at ?=0).
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For the following mechanical system, find the transfer function G(s) = X1(s)/F(s), without using newton law of motion and the below considerations to calculate the forces for particular masses FOR M1 :- Hold M2 still and move M1 to the right , Hold M1 still and move M2 to the right For M2 :- Hold M1 still and move M2 to the right, Hold M2 still and move M1 to the right
Please answer question 1 with details on how to do it. Make handwriting legible. Thank you.
Using Matlab Part 1: Circuit's damping coefficient and damping type 1a) For find the circuit's damping coefficient from the characteristic equation and assign to variable Ze1. 1b) What is the damping type? Define variable Damping1 and store the string "over", "under", or "critical" based on an if...elseif statement for the response type. All the response string characters should be lower case. Ex: if Ze1 < 1 Damping1 = "under" % Use elseif for the second condition and else for the last condition for the other two possible damping types. end
Simplify the following Boolean algebraic equations 9. If f(a, b, c) = a + b + c i. f(a, b, ab) f(a, b, a ii. . f[a, b, (ab)] b)

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5. a. Complete the definition: A topological space X is normal if... b. Suppose X is a T₁-space, and that for any pair of non-empty disjoint closed sets A, BC X, there exists a continuous function f : X → [0, 1] such that f(A) = {0} and f(B) = {1}. Prove that X is normal.