a Consider M₂ (R): = {[% | a, b, c, d = R}, a ring under matrix addition and matrix mutiplication. d (a) Show that I = {[],yR} is a subring of M₂(R). (b) Is J = { [ ²² ] | 2 € R} a an ideal of I? Justify your ans answer.

Q: 5/65 Determine the x- and y-coordinates of the centroid of the shaded area. Ans. X = 133.5 mm, Y =…

A: Solution :-

Q: -W cos+ s sin s²+w² S³ (s²_2s+2)(s²+2s+2)] S-3 (2-2) -s²-6s d. L-1 e. L-1 f. L-¹

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

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Q: 8) Find the Laurent series of f(z) = a) + T **** d) NOTA m + + + if 1 < |z| <2 (2-1)(z-2) +3+372…

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Q: 1: (A) Write True (T) in front of the true statement and false (F) in front the false atement: 1.…

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Q: Example 8.22. Apply Euler-Maclaurin formula to evaluate 1 1 1 + + 51² 53² 552 99²:

A: Problem is solves using concept of Euler-Maclaurin Formula.

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A: Given that X is an inner product space with an inner product ·,· defined on it. We know that a map…

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A: We have to find the nilpotent and idempotentent element of R.

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Q: Let M be a subset of a Hilbert space H, and let u, we H. Suppose that (v, x)=(w, x) for all x € M…

A: Solution:Given that Let M be a subset of Hilbert space H and let ν, w∈HTo show that M is total in…

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Q: 1. Write the equation of the line containing the points (-3, 4) and (2,5) in the form Ax+By = C. 2.…

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Q: 2) Find where tan'z = Logit is analytic a) C\{Re(z)=0, Im(z) (-0,1]} b) C\{Re(z)=0, Im(z) (-00,1] U…

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Q: a X Q3. Find the edge cover and vertex cover in the graph above G.

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Q: Consider the given differential equation: + = cos x - sinx, y(0) = 1, h = 0.25, at what value of x…

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Q: Find the Inverse Laplace Transform of the following: 8 F(s) F(s) = 53(s²-5-2) = s(s²+4) F(s) =…

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Q: Let X and Y be topological spaces and let f : X → Y be a function. Prove that the following…

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Q: Find the unit vector in the direction of v. v = -6.7i + 3.7j

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Q: Baker's Plaza has two ovens. Oven 1 can produce 3,000 asado pandesal, 2,000 chocolate rolls, and 300…

A: Note: We are entitled to solve the question only by one method. So we are solving the question by…

Q: Define g(-5) in a way that extends g(x)= 9(-5) = x² - 25 x + 8x + 15 to be continuous at x = -5.

A: We have to define g(-5) such that g(x) is continuous at x = -5.

Q: What if the jelly bean machine gives 9 jelly beans to the first customer who put in a coin, 13 to…

A: If the initial term of an arithmetic progression is {\displaystyle a_{1}} and the common difference…

Q: Just wondering where you got the 4! from in the first line of the total number of ways: i.e. 7! / 3!…

A: The 4! in the first line is obtained as shown below.

Q: find the residue at each pole of the function 1 f(z) = (2² - 2x + 2)² 2z

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Q: 4. Read this problem carefully. Row reduce the matrix to reduced echelon form. Circle the pivot…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: 2n Using the expansion of (1 + x)² and given that 2nC₁ + 2(²nC₂) + 3(2n C3) + ... + 2n(2nC₂n) +…

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Q: 5. If f(x)=3*-9 and g(x)= tanx, then what is the domain of (g+f)(x) on the interval [0,2m]?

A: For the given question, we can write the function (f÷g)(x) as:f(x)g(x)=tanx3x-32Hence, the domain of…

Q: ar gaph? and what the chroma

A: To find which one are planar graph from the given graph as,

Q: Determine ¹ 4s²-5s +6 (s+1)(s² + 4)

A: To find the inverse Laplace transform of the below function. L−14s2−5s+6s+1s2+4

Q: 4. A security camera is to be mounted on the wall of the downtown Bank of America so as to have a…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Evaluate Sc (5x+2√y) ds ds where C is given in the accompanying figure. CH (1,1) 1- Z y=x y=x² X…

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Q: 3. Find the maximum and minimum values of z-a 1-āz on 21 (where a with a < 1 is fixed)

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Q: 2. x=9-y², y-axis; about x = 9

A: Given that region is bounded byx=9-y2⇒x =(3-y)(3+y) and y-axis ; revolving about x =9

Q: Evaluate the following integral: JIS [xlnytan z dV if S = {(x, y, z) € R³ : − 1 ≤ x ≤ 0, e ≤ y ≤ 2e,…

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Q: 1 8) Find the Laurent series of f(z) = (2-1)(z-2) if 1 < |z| <2

A: Here we have to find laurent series of f(z) in given interval

Q: (B) Find the zero-divisors of Z6.

A: Here we have to find zero divisors of Z6 .

Q: Find general solutions for the given differential equations 6. (x+22³)dx + (y-2y2)dy = 0. 7. y' -…

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Q: Find the following. u = v =   a) || u || b) || v || c) || u+v || d) || u/ ||u|| || e) || v /…

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Q: dx 1 + x method. Hence find the value of log 2. Example 8.18. Evaluate f . correct to three decimal…

A: Problem can be solved using Romberg's Method.

Q: II. Solve the initial value problem. 1 y= dr x+1 *(x + 1)¹3(e) = 1 (b) / + y tan r= cos² r, y(0) =…

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Q: At the fast food restaurant, an order of fries costs $0.92 and a drink costs $0.96. How much would…

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Q: What is the slope-intercept equation for the linear function represented by the table? X 03 6 9 12 y…

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Q: Two payments of $17,000 and $5,400 are due in 1 year and 2 years, respectively. Calculate the two…

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Q: Example of a function that is dot convergent but not uniformly convergent

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Q: If S and T are normal linear operators satisfying ST* = T* S and TS* = S*T, show that their sum S+T…

A: I have used just definition of normal operator

Q: Find the Laurent series of f(z) = (2-1)(z-2) if 1</z] <2

A: Here we have to find laurent series of f(z) in given interval