(a) The speed of a motor supplied with a voltage input of 30V, assuming the system is without damping, can be expressed as: 30-(002)쓰-(0.00w If the initial speed is zero and a step size of h = 0.4 s, determine the speed w at r= 0.8 s by: O using Euler's method, and (ii) using the Runge-Kutta 2nd order Heun's method. Given: Euler's method: W - w, + f(t, w, h Heun's method: W - w - where, k = f(t, w) and k = f(t + h. w; + k,h) (b) The exact solution of the ordinary differential equation is w(0.8) = 454.64 rad/s. Explain your result by comparing with the exact solution, and suggest how to reduce the error bethween your result and the evact solution

Q: )A graph of the sequences when the initial populations are Po = 710 and Po = 670, respectively, is…

A:

Q: a) Prove that, the characteristic of an integral domain R is either zero or a prime number. b) Let G…

A: this question related to ring theory and group theory.

Q: nsert 4 arithmetic means between 24 and 56. nsert 5 arithmetic means between 2 and 38.

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: If event X cannot occur unless event Y occurs first then: a) Y is necessary for X b) X is necessary…

A:

Q: timate the axerage amaunt Spant on entetinmest uante to Cnduct 1A markeking mseand piem wante to…

A: Given,Error margin, E=2000Standard deviation,σ=4000Confidence value =95 % To find: Minimum required…

Q: Solve the following DE: 1. (D² – 3D + 2 ) y = 4x?

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: 1.0 -7 for 0 <x < 4, f(2) = {6 Let for 4 < x < 6. Compute the Fourier sine coefficients for f(x).…

A:

Q: cos t- sint sint+ cost j, N= - cost- sint cos t- sint j, and K= 1 Find the binormal vector B and…

A: If N and T are unit normal and unit tangent vector respectively then binomial vector  B=T×N If s is…

Q: Find a particular solution of the linear system given. x'=3x-y y'=5x-3y where x(0) = 1, y(0) = -1

A: First we find the eigenvalues and eigenvectors of the coefficient matrix. And then we use the…

Q: a) n(A) =    b) n(A∩B) =  c) n( B' ∩ C' ) =

A:

Q: An integrating factor for the equation - y =e¯x/3 is dx 8. a. e-* d. 11/8 b. e e. There is no…

A:

Q: Write a second degree equation matrix and prove that it is in vector space?

A: To show: An example of a second-degree equation matrix which is in vector space.

Q: x+x+メナ] 3.

A:

Q: 9. Jesse was riding her bicycle and ran over a nail. At this point, a stopwatch starts timing. The…

A: If the height is denoted by a cosine function  h(t)= a cos( bt +c) +d  a is amplitude  2πb  is…

Q: Ql: what's the relation between prime and semiprime ideals.

A:

Q: a Define a relation R on N by (a,b) E R if and only if E N. Which of the following properties does R…

A: Solution

Q: 2h? The degree of precision of a quadrature formula whose error term is 2 This option This option 3…

A: Solution

Q: 1. Find all the roots in both polar and Cartesian form for each expression. (a) (-2+2i) (b) (-9i)?

A:

Q: 7. Determine which of the following functions are differentiable at all the z-plane or some region…

A:

Q: Qs: A. Define the symmetric group S3. Then find 1. Cent(S3) 2. All normal subgroups of S3 3. A3 4.…

A:

Q: 3 An elements a of a ring Ris Said to be nil potant IF d=o for squre ne z* prove that if R Satis Fy…

A: Given: Ring R is nilpotent if an=0 00 Centre is a ring within itself.

Q: Sum of Arithmetic Sequence Solve as indicated. 2. Find the sum of the first 8 terms of the series 2,…

A: Introduction: An patterned advance, also referred to as an arithmetic sequence, could be a set of…

Q: a Define a relation R on N by (a,b) e Rif and only if EN Which of the following properties does R…

A:

Q: Q3: (A) Prove that 1. There is no simple group of order 200. 2. Every group of index 2 is normal.

A: 1)  We need to prove that , there is no simple group of order 200. Let , G be group with order 200.…

Q: (B) Define the triangle group. Then 1. Find all subgroups of it. 2. Is it abelian? Why?

A:

Q: Ex: Use a double in tegral to Pind the volume of the tetrahedron" bonnded by the coordinate lanes…

A:

Q: (i) Let AT = (1/2, 1/2)". Find the eigenvalues of the 2 x 2 Problem matrix AAT and the 1 x 1 matrix…

A:

Q: True of False. 1. The order topology of a simply ordered set X is the standard topology defined…

A: As per guidelines first three questions are answered, for remaining answers kindly repost the…

Q: Romberg integration for approximating f(x)dx gives R21 = 5 and R22 = 3 then f(1) = 4.01 3.815 This…

A:

Q: The radius of convergence of about Xo=o (1-メ)

A:

Q: f(t) = [1– uzn(t)](2 sin t – sin 2t

A: Solution

Q: Hi, I have a question that I can't type out because of special characters. I uploaded it as an…

A:

Q: O we N. P.M. to estimate the root of -X for on initial guess of Xo

A:

Q: Prove logically that " C, + "C, + "C,+…+"C, = 2". %3D

A:

Q: 3 Let I be an ideal of the ring R and define the set ann (1)= {rER raso, VAEI} Prove that ann (I)…

A:

Q: Evaluate (cos15+isin15)^3

A: To Evaluate (cos15+isin15)^3

Q: There isn't anything there

A: Given function isfz=zzIt is proved that fz is conformal as shown below.

Q: Find the saddle point and solve the game Player B B, Ba B2 А, 15 3 Player A 6. A3 -7 4 7, 2. 5

A:

Q: Q14: Define subring. Is the set S = {(“ } is a subring of the ring M of all 2 x 2 matrices?

A:

Q: Vrite a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (– 2t + 3)i…

A: Introduction: The tangential component of acceleration is given by, aT=v.a||v|| The normal component…

Q: 5. Find the following limits. (a) lim,0 EE. 22-iz-1-i (b) limz→1+i z2–22+2 °

A: Apply the limits.

Q: Determine the maximum curvature for the graph of f(x) = 7 In (2x). The maximum curvature is at x=

A: We are given function f(x)=7ln(2x) of the graph Formula for curvature is κ(x)=|f′′(x)(1+(f′(x))2)32|…

Q: Find the order of G. Find the order of i and -1.

A:

Q: Q4: prove or disprove each of the following a) Every group has one generator. b) Every group of…

A:

Q: Prove: If F is a closed subset of a compact space X, then F is also compact.

A:

Q: Q26: Define the integral domain ring. Is every ring an integral domain?

A:

Q: Using truth tables, determine if the following statements are tautologies or con- tradictions. (a)…

A:

Q: pls solve this ques with both subparts needed urgently will give you many upvotes

A:

Q: Problem 3 a (b) Consider the quotient ring Q[x]/(x² - 3) (ii) Find (x + (x² - 3))-1 and justify your…

A: a) Show that x is not a unit in Fx, where F is a field. Suppose assume that x is a unit in Fx. Then,…

Q: Instructions: For every item given below, determine which kind of algebraic structure it is, and…

A: (6) F = Q , (a*b) = ([max(a, b)] /b)  - 9