(Do solution short form)Prove that the only idempotent elements in an integral domain R with unity are 0 and 1.

Q: 3. General solution of (ylny - e-xy)dx + ( + xlny) dy = = 0

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Q: (iii) (1) Find the x-intercepts of the parabola. Give your answers in decimal form, correct to two…

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Q: 6. Let A, B, C be (3 × 3) matrices, such that det (A) = 2, det (B) = π, What is the value of det…

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Q: Learning Task 3: Read each item carefully. St.ow all secessary Jutions in soly. ing 1. Find the…

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Q: Find the optimal solution of the following (T.P) by using Least-Cost method. 6 40 50 70 90 90 100…

A: Given,   W1 W2 W3 W4 W5 supply F1 (4) (1) (2) (6) (9) 100 F2 (6) (4) (3) (5) (7) 120 F3 (5)…

Q: Summary of what is Mathematics in modern world about

A: Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all…

Q: 47) The perimeter of a rectangular garden is 38.4 meters, and its length is twice its width. What is…

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Q: in a graph What is a k-coloring ? And give examples

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Q: Q2. Consider the coupled first-order nonlinear differential equation du dt dv = t³(u + v) dt Where…

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Q: 48) Mark, a part-time service crew at a restaurant, earned P2,375.75 in working for 53.75 hours in…

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Q: Evaluate the following: (Note: Final answer should be expressed as a decimal, not in terms of gamma…

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Q: 7. (2²²) ⁰+ (2º). (2²)⁰= 2 True false 8. sin ²e + cos²e = (1)". if n>1 wwwwwww True false

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Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 11. D A B C B A D E F с F E

A: The given problem is related with graph theory. Given two graphs. We have to determine whether the…

Q: 10. Prove that T/2 75/2. sin e cos (cos a cosec 0) de 10 T 2 (1-cos a).

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Q: Let I (a, b) be a bounded open interval and f: 1 2 be a monotone increasing function on I. (i) If f…

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Q: 2. Consider the vector-valued function R(t) = { Show that is continuous at t = 1. (el-¹, 1-², In (2-…

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Q: Show that the following equation is exact and solve it: (2y sin x cos x - y + 2y² exy²) dx - (x -…

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Q: d²y dx² 0m (+) dx² −y=0, Ⓒadw stanierabot a doufw-mont x==1/2 and show that it has no integrals that…

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Q: Let , ² be the complex cube roots of unity. Let z₁, z₂, z, be complex numbers such that Z₁ + Z₂ + Z₂…

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Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

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Q: If Sue eats 1/8 of a large cake, and Bill eats 2/4 of a small cake, who eats more cake?

A: Let large cake = 1 pound       Small cake = 1/2 pound Sue eats 1/8 of large cake. Bill eats 2/4 of a…

Q: (a) 1; 4; 9; 16;......; Rule: Missing numbers: (b) 2; 13; 26; 41........ Rule:__ Missing numbers:…

A: Solution :- (A) The given series is 1,4,9,16,? Step by step solution of the sequence isSeries are…

Q: Let U be a universal set, and suppose A and B are subsets of U. (a) How are (x ∈A →x ∈B) and (x…

A: let U be a universal set and suppose A and B are subsets of U. (a) x∈A→x∈B and x∈Bc→x∈Ac are they…

Q: solve: 3 (b) uloy) = ity ² "x = 0 w(x, 3x) = sin x = 0 Wyy u(x,0) = sin x wy (x,01 = cox { (c) in R²…

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Q: (ylny-exy)dx + ( + xlny) dy = 0

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Q: 3y-2 ▪ Find equation of plane which is contains line L: *-- -3 = -1 and parallel to intersection…

A: Introduction: A aircraft is a flat, two-dimensional floor that extends indefinitely in mathematics.…

Q: 2. What is the slope of the line tangent to the curve 8x³ - y² = 4 at the point (1,-2)? 3. What is…

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Q: a(bx+j)(cx+k)(dx+m)² (ex+n)(gx-p)(hx+q)' with the following conditions a,b,c,d,e,g h.j,k,m,n,p.q are…

A: Given type of function is fx =abx+jcx+kdx+m2ex+ngx-phx+q

Q: A + ՏԵ + - 2 1}}=?

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Q: A matrix M is said to be orthogonal if MMT=MTM=1. Let S be a skew-symmetric matrix and I the…

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Q: • Find equation of plane which is contains line L:= 3x-²=2=7 x-5 -2 -1 and parallel to intersection…

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Q: Homework: a. Use the Gauss-Seidel method to obtain the solution of the system until the percent…

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Q: (iv) Write down the gradient of the straight line represented by the equation y = -0.05t +47. What…

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Q: Integrate Xy ed २ over the triangular region with vertices: (0,0), ), (0,8) (0,16)

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Q: (b) for 3-3.x 10 dx

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Q: f(x) = 3.1.³ et 1. Using the laws of Calculus, provide the expression for f'(x)- which will be our…

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Q: Solve using Jacobi’s Iterative Method

A: Given system is 56-3-2952-7-3412-1-743 x1x2x3x4 = -109-28

Q: II. Use Theorem 6.1.1 or Theorem 6.1.2 to solve the following problem: What are the equations of…

A: From the given data, Assuming the illustration in a 2D space. Let P=α,β Then, O be the origin.

Q: Let A be an n x n matrix. Let n- c(z) := det(zIn − A) = 2" - Σckzk k=0 be the characteristic…

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Q: Drag the points to sketch the graph of the given function. Determine whether f is continuous,…

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Q: 50) Gregory can solve a simple equation for an average time of 1.35 minutes and a hard equation for…

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Q: Consider a triangle ABC, on each of whose sides equilateral triangles are dra

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Q: Find symmetric and parametric equations of the line through the two points (−3, 5, 2) and (1, −3,…

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Q: Find all possible values of a e and Iz+2a-(a + 1)i> 3 simult

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Q: 4 to onabans ! (0)0 4. Prove that

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Q: Find the basic solution for the following (T.M) by using (least cost method), then find the optimal…

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

Q: 7. Given f(x) = 6x²+2x-5 and g(x) = 6x²+3x+1. Evaluate (f-g) x.

A: Here given that                           f(x)=6x2+2x-5                 and   g(x)=6x2+3x+1 We have…

Q: 1 If A 1 2 32 O True false is a matrix then A¹ = [13].

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