Solve the following system of equations by Gauss-Jordan in terms of k, then find the values of k for which the system has no solution and find the solution if k=1. x + 5y-6z = 2 2x-y-z = -7 5x ky + 3z = 7 -

Q: ) Solve by using Laplace transform the partial differential equation 8²y dt² =9. 90²y y(0,t) = 0,…

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Q: ) Find the closures of the following sets:     Q, the set of rational numbers   2) Show that the…

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Q: Find a root greater than zero of f(x) = ex − 2x – 5 - using the Fixed-Point Iteration Method with an…

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Q: If y = a e/, then radius of curvature p = a sec² 0 cosec 0, if (a) 0 = tan-12 (b) 0 = tan¨! a (c) 0…

A: The given equation of curve is y=aex/a

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

A: (a) Consider the given graph, Eulerian Graph theorem: This theorem states that an Eulerian trail…

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

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Q: Establish the following set theoretic relations: a) AUB=BUA, ANB=BnA (Commutativity) b) AU (BUC) =…

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Q: Find limit et integration (i) f f f f(xy, z) dy dx dz G 12) SSS f(x4₁7) dx dy dz ст √x=1-7 1-√x 7 =…

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Q: 1. One algorithm for polynomial evaluation is the straight term-by-term evaluation which follows the…

A: Let's assume the polynomial to be of the form  P(x)=a1x5-a2x4+a3x3-a4x2+a5x-a6 If we take into…

Q: 4 Prove Borel Cantelli theorem (lecture notes p.16) i.e. Let (2, F, P) be a probability space and…

A: (a).Since         lim sup Ei C ∪k=m∞Ei⇒P lim sup Ei≤P∩(m≥1)∪(j≥m)Ej⇒limm→∞P∪(j≥m)EjUse…

Q: 9 Solve: Solve Sut subject to + bux = 0 u(x,0) = +x² зик + 2х их = 0 subject to ✓****/ Rx [0,00) ản…

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Q: Compute the following Laplace transforms: Problem 12 (a) L{3t4 + 4t² - 6t+8} (b) L{4e-3t-sin 5t)}…

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Q: For any positive integers m, n (

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Q: III. What is the image of the line with equation Y = 5X + 7 under op, where P = (-3,2).

A: Dear Student, Since you have asked multiple questions, we will solve the second question for you. If…

Q: For X and Y normed linear spaces, let {T} be a sequence in L(X, Y) such that Tn →T in L(X, Y) and…

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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 ƒ (0) = 1, ƒ (1) = 2, ƒ(2) = 33, f(3) = 244. Find a cubic spline approximation, assuming S" (0) =…

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Q: b if it Se was Where a + 2b = 3 find the Value (2x + 3) dx a, b E R

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Q: False Position Method and Secant Method ( f(x) = 3x² - 2x - 4

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Q: 1) Solve by using Laplace transform the partial differential equation 2² 8² dt2 =9. y(0,t) = 0,…

A: Solution

Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

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

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Q: Q1: Solve ýex+y 2 = cosh x + √√cosh² x − 1 + 7e*

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Q: PROBLEM Carry out the substitution in the improper integral 2 cos 0 = ei + e-i */2 *² log (2 cos 6)…

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

A: here we will use incomplete gama function and value of

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

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Q: Recall, you own 9 regular ties and 7 bow ties. You realize that it would be okay to wear more than…

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Q: Q2/ Find ow/or if w = (x+y+z)³, x=r-s, y = cos(rs), z = sin(r + s) at the point (r, s) = (0,1)

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Q: For a function f(x), it is known that ƒ(2) = −8. Selected values of the first derivative of f(x) are…

A: Euler's formula, f(x+h)=f(x)+hf'(x) given, f(2)=-8 Taking step h=-1      x       0      1…

Q: Give an example of a non-planar graph that is not homeomorphic to K5or K3,3.

A: We can solve this using definition of planar graph.

Q: Stickers. To celebrate the first day of spring, Lin is putting stickers on some of the 100 lockers…

A: Solution:-

Q: Graph the following Equations: x+3 5. y²: 2x²+3x+2 6. r = sin + 2cos²0 7. r² = sin 20-3cos

A: We can solve this using given information

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

A: Degree sequence for the first graph and second graph are respectively 2, 3, 2, 3 and 2, 3, 2, 3.…

Q: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

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Q: Minimize C=3L-4K subject to 120=3K⁰.7L0.3. Find L*, K*, A*, C*. Now, Use Bordered Hessian to verify.

A: z =xy subject to x + 2y = 2lagrange function:L =U(x,y) +λ (M-p1x-p2y)

Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 11. D B C B 10 с E F A D E F…

A: The given two graphs are equivalent.

Q: By using Laplace transform to solve y + y = sinht with y (0) = -1, what would the particular…

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Q: Find the basic solution for the following (T. d the optimal solution. 4 1 2 6 9 100 4 3 5 7 120 2 6…

A: Check if the problem is balanced by finding the sum of rows and columns 100+120+120=340…

Q: Can the graph G be orientable? G:

A: Yes the graph is orientable.

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: 6-

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Q: 4) Find the largest eigen value for the matrix 1 ^-['s 2] wi A= with x (0)=(7/17_1) 54

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Q: Use separation of variables method to solve the partial differential equation: du d²u du(x,0) = +u…

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Q: 7/ Find the optimal solution of the following (T.P) by using Least-Cost method. 6 40 50 70 90 90 100…

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Q: Can the graph G be orientable ? G:

A: We say that a connected graph is orientable if and only if every edge belongs to a cycle. We see…

Q: You are given and Find the value of S₁=1+q+q²+...+ 1+ ( 9 + ¹) + (ª +1 = "Y

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Q: A disk is shaped a flat circular plate it's radius is 4.25inches to the nearest hundredth what is…

A: Solution

Q: The Grinch sneaks into a room with 11 Christmas presents to 11 different people. He proceeds to…

A: consider the given question: Find the number of ways if no present is allowed to end up with its…

Q: Find the Laplace transform of t², -8 + 3t, 2. g(t) = - 6)² + 2 cos cos (1-2), 6 0 2

A: given g(t) is defined in (0,2)

Q: 4. Find f(5) using backward difference method of the function f(x)= 7x³-5x + 1 = 2x¹ + x² + 1 with a…

A: Solution: let-x1 = 2.5 and x2 = 7.5x = 5Step value h = 0.5 using Newton's Backward Difference…