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Q: 2) If (1+x) is an idempotent in Zn; Show that (n-x) is an idempotent

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Q: (d) 2910 Subspace of R², or explain why it is not a subspace of R2. For each of the following…

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Q: Gas is $5 a The vehicle gets gallon.

A: Given as, Gas costs $5/gal  Mileage = 15 miles/gal

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

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

Q: let V = M 2x2 (IR) M = { A€ V A = A²} *} N = {A = V A = -A²} Subset of the vector space V The answer…

A: Direct sum : If V1 and V2 are two subspaces of a vector space V, which can be expressed as V=V1+V2…

Q: 7. For the following function : 4 o<t<i ..f. (.t.)..= -{" [² 1<t <2 a. Find the complex Fourier…

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Q: 8 8 α Ω Un R Ω

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Q: 7. Find the derivative of the function Id² at the point a ER from first principles. What Id()-Id()?…

A: This is a problem with the application of derivatives.

Q: 2 / y xx lnx xy + y = In

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Q: Let R be the region bounded by y = 4x + 2, y = 4x + 5, y = 3 - 2x and y = 1-2x. Which one of the…

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Q: Solve the LP problem using Simplex Method Maximize = 2x₁ - x2 + 2x3 subject to: 2x1 + x2 < 10 x1 +…

A: First we will convert the problem into canonical form by adding slack variables s1 , s2 , s3 . Then…

Q: Let A be a subset of a space X and let x ∈ X. Then x ∈ A iff there exists a net in A (that is a net…

A: Given: Let us consider the given, A be a subset of a space X and take x ∈ X.

Q: 8 ) ) Let A=[0 ;], B=[; %], C-[; !] C=[o a) A &B& C are nilpotent in M₂(R) b) A &B are nilpotent in…

A: Nilpotent element: An element x of a ring R is called a nilpotent element if there exists smallest…

Q: Use Gauss Seidel method to solve the linear erforming 2 iterations

A: Given, the linear system                   -x1+3x2+x3=-42x1+2x2+5x3=1     4x1+x2-x3=5 and…

Q: Find the general solution of the differential equation: logS=x+y

A: We have given a differential equation ,  logS = x + y We know that , elog(a) = a . So , elog(S) = ex…

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 8 +…

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Q: Given that R is the area bounded by the curve y = 9 – x^2 and y = 5. Calculate the volume of the…

A: Given that R is the area bounded by the curve y=9−x2 and y=5. We have to calculate the volume of the…

Q: Q2) Let(M₂ (R), +..) be a ring. Prove H = {(b) la, b, c € R}is a subring of (M₂ (R), +..).

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Q: Question 8. The three given equations describe three different lines. Make a sketch and find the…

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Q: Using the power series method about x = 0, the recurrence relation of the differential equation: -…

A: Given differential equation is x2+1y''−4xy+6y=0.......1. We have to find the recurrence relation of…

Q: [C 1. : Two vectors, F1 = 50 N and F2 = 60 N, have directions as shown in the figure below.…

A: Solution

Q: Example 8.5 Assume that X(t) is a random process defined as follows: X(t) = A cos(2π + $) where A is…

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Q: The diagonal of a certain rectangle is twice its length minus 2₁ while its width is twice its length…

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Q: Solve for the determinants using a combination of row operations and cofactor method.

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Q: [26_-]-[28][- {] 9-

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Q: 5) Let D= {0, 1, x1, x2, ...x10} be a finite Integral domain with x; xj. Show that D is a Field.

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Q: Each piece of the board has been set up at the midpoint of the respective cell and consider that the…

A: Given a 8×8 chessboard whose sides of each cell have length β. The chess pieces are placed in the…

Q: 1. Evaluate the given integral Q. Q - If yza² dy dz dr 0 0 0

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Heating a large building requires 50 000 gallons of oil in 2013. As the building is extended, two…

A: Let a be the first term of the arithmetic sequence and d be the common difference. The n-th term of…

Q: P/ by method of variation of Parameters -X Find Y-Y = e sine دیگا

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Q: 0.01t An investment accumulates at a force of interest St 3+0.01t² Find the present value at time t…

A: Solution: Given that δt=0.01t3+0.01t2 and given $3900 due at the end of 7.5 at time t=0, now,…

Q: E= F= 2 131 10 11 02 210 0 1 2 3 1 -2 200 0 31 5 3 -7 0 4 2 01 10 1 021 1 0011 {0

A: Let A be a square matrix.  If A≠0, then the matrix A is non-singular. The inverse of the matrix A is…

Q: (Cholesky factorization) Let A be a real symmetric positive de RRT Gunth

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Q: s²+1 ((s+3)² Find L¹ In Lym transformation. by using the properties of inverse Laplace

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Q: 5x₁2x₂ + 3x = -1 -3x₁ + 9x₂ + x₂ = 2 2x₁-x₂7x₁ = 3 a) Apply the Jacobi method to solve the above…

A: Note : As per our policy, we are allowed to answer only first two part of question kindly post…

Q: ๆ 0 1 3 -2 3 - - - - - B 3 m C ܩ ܘ ܩ O - - - T 5 D =

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Q: Find all the first and second order derivatives of the function f(x, y) = x³ ln(y) + xy + x³y² + 4x…

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Q: hello, could you resubmit the picture please? it has blurry parts thankyou

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Q: Find the first three terms of geometric Progression whose Let the first three terms of geometric sum…

A: Given that the sum of the first three terms of a geometric progression is 342 and the product is…

Q: Q/Particular Solutions -D- operator method (D²-D² )y=2e*

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Q: Part 1 - Descriptive Statistics In this part of the project you are asked to compute various…

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Q: у ху = X Sin X =

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Q: A- Find the integrating factor of the following D.E (2 cos y + 4x²)dx (x sin y) dy 1. Add file B-…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 12. Determine the minimum of f(x)= (10x³ + 3x² + x + 5)² starting at x=3 and using a step size…

A: The function given is as follows: fx=10x3+3x2+x+52 The initial approximation given is x=3 and the…

Q: Examine the co convergence of the sequence on ² Sinan 2h Whose general term is (an) Find the limit…

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Q: 6. Consider the function f(x)= log₂ (x−1)+1 . Find f¯¹.

A: Given  f(x)=log2(x-1)+1  We have to find f-1

Q: Find the Laplace transform of the following: 4. h(t) = ) = { + ² + 3t = 4, 0≤t<2 t≥2

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Q: 8. If 90°sin y II. COS X >cos y III. tan x<tan y

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Q: = —— = + f²f L L a... f(t).dt.. an = tf f.lt.). cas. ntt dit. -L bn = + f f(t) sin n I t dat -L 1.…

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