Question 12 Is W2 = {(:¿) E M2×2 : 1= 0} a subspace of M2x2? са

Q: 3. If p + q = 6 & pq = 3, where p > q- a. Find the value of (p – q) b. Find the value of p³ – q³ – 5…

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Q: True or False: Any ring must be commutative with identity.

A: Any ring with identity need not be commutative. We take a ring which is division ring it has…

Q: lim, xcsC X XCSC X *x0

A: Solution

Q: Evaluate the integral x³ – 2x² – 4 dx x – 2x?

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Q: Consider the differential equation ry(3) – 6ry' + 12y = 0. Find distinct values of r, say r1, r2,…

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Q: Q14: Define subring. Is the set S = {(" is a subring of the ring M %3D of all 2 x 2 matrices?

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Q: The bearings from a point P of two landmarks X and Y are 35° and 125° and their distances from P are…

A: The diagram for this questionwould look like the one on theright.

Q: 13 : If f(t) is a periodic function with period T>0 i.e. f(u+T)= f(u), f(u+27)= f(u), ete. 1 then…

A: The solution is given as

Q: 7. Evaluate y" + y' = t; y(0) = 1 , y'(0) = -2

A: Here we can use method of undetermined coefficients to find the particular integral. For a…

Q: Give a reflection about the movie entitled "The Adventures of a Mathematician."

A: Among the many individuals taking part in the Project, there was even the Jewish mathematician of…

Q: Find the moment of inertia of the area bounded by the given curves with respect to the specified…

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Q: Use the Table of Laplace Transform to find the Laplace Transform of the given function. d. sin3t…

A: Solution

Q: Selve du 4824 8.

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Q: Quetion 11/15 ميز هذا السؤال A travelling salesman makes a sale on 35% of his calls on regular…

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Q: (B) Explain the relationship between each of th a) Field and integral domain. b)

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Q: Find the general solution of the following differential equation: P + P2 tan t = p4sec t dt

A: Introduction: A differential equation is a mathematical equation that carries one or greater…

Q: 9. z4 – 3iz? – 2 = 0

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: Find the volume of the solid generated by revolving about the y- axis the region bounded by the…

A: We will find region bounded and then rotate it about y axis to create solid of revolution , To find…

Q: b. True or False: The set of even integers is a commutative ring, Q17: a. Let R be a ring and I,, 1,…

A: a).No, the union of two ideals I1 U I2 is not an ideal of R .

Q: 011: Explain the relationship between ideal and subring.

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Q: Solve for the value of x given that s // t 1 2 4 17 mZ1 = x-15 m8=75° 3.

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Q: Find the shortest path between vertices a to z in the weighted graph. b. Find the length of a…

A: Here we use the Dijkstra's algorithm to find the minimum spanning tree for the graph From minimum…

Q: 4. Given the FOl owing conditions, give an example and explain your an swer. 8 a. Cn is convergent…

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Q: 2x1- 3x2+ 2x3= 9 3x1- 2x2+ X3 = 4 X1 - 4x2+ 2x3 = 6

A: Given system of linear equations is ,                        2x1-3x2+2x3= 9…

Q: a one to one function fr om X into Y and {A

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Q: by a nilpotent element of a ring R? Find all nilpotent Q24: What's mean elements of Z6:

A: We know that a ring R has two binary operations namely, addition and multiplication. A ring is an…

Q: Solve the following multiple-choice question: 1) A slope of a line could not be: A) a constant B)…

A: The equation of a line is defined using the linear equation: y=mx+b, where m is the slope and b is…

Q: A function g(z) is strictly increasing if g'(z) > 0 on its domain. Assume the supply and demand…

A: The supply function is specified in the problem Qs=SP,T Price (P) and tax (T) on the other hand are…

Q: coshu p pcosh p Find L where 0<u<1

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Q: is there a trail that is not a walk?

A: Every trail is a walk but every walk is not a trail as in a walk edges may repeated but in a trail…

Q: The figure shows the boundary temperatures (in degrees Celsius) of an insulated thin metal plate.…

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Q: Question 8 Given AABC shown in the graph beloW, if it is the case that: AXYZ=T{3,1}\Rx - axis…

A: From the triangle ABC The vertices of triangle ABC is A (-1,-1) B(1,2) C(-2,4)

Q: Consider the function g defined by 1 g(x, y) = cos (Ta V) + log3 (r – y Do as indicated. 1.…

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Q: 2tan x- x lim, -1 2х -sin " x,

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Q: Problem Solving (Bracketing Method): Solve the following problem using Bisection Method and False…

A: please comment if you need any clarification. If you find my answer useful please put thumbs…

Q: Q21. Give an example for a not commutative ring with identity. Q. 22 True/ false 2 and 3 have…

A: 21. Let the ring As the set of all 2 × 2 real matrices forms a ring under the usual matrix addition…

Q: (c) Solve (a) by applying Gauss-Jordan elimination method. (d) Using the result obtained in (c),…

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Q: 1) Find Yc, Yp, the general solution, and the definite solution given dy a) + 4y = 12; y(0) = 2 dt…

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Q: Hiwe- slove finite diffrence method // ~つ y = h=l ,[o,4] y(o) = 1-25 %3D y (4) =0,95

A: Using centre difference formula for furst and second order differential

Q: Oac-b)= C-ajb= - Cab) (i) C-a) (-b) = ab %3D

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Q: Theorem 13: If f(t) has a continuous derivative and is of exponential order y for large positive…

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Q: Find the centroid of the solid generated by revolving about the indicated axis the area bounded by…

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Q: A ship on a certain day is at point A (20°N, 140°E).After sailing for 150 hours at a uniform speed…

A: Initially, ship is at point A (20°N,140°E) after 150 hours , ship is at point B (10°S, 170°E) We can…

Q: X = Q2: Solve the following linear differential equation:

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Q: (a)Use the shooting method to solve: d'y dy = e*; y(0) =1; y(1) =-1. dx dx? Use h=0.1

A: Given, d2ydx2-ydydx=ex; y(0)=1, y(1)=-1h=0.1 Now writing,…

Q: a. Give an example for a commutative ring without identity. b. True or False: Every ring is a group.

A: To find the given questions :-

Q: 2. Detemine if the following integral converges or diverges. If the integral converges, find its…

A: We have given a integral ,  ∫04 xx2 - 9dx First we will find undefined singularity , Here , x2 - 9 =…

Q: 1 5.) s³ +5s_

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