1. Show, by drawing, that the following graphs are planar: (11) the graph of the octahedron.

Q: Basis: Find a basis of the row space of the matrix EE A = 03 -1 -1 3 0 1 -5 1 4 1 0 1 -2 -1 -6 5 -2…

A: First reduce into echelon form then find basis of row space, as in next step.

Q: In a recent small survey of airline passengers, 27 said they had flown American in the last year, 23…

A: We will use  Addition theorem for  3 set

Q: problem: Using the Laplace transform, solve the following initial value y" + 4y + 3y = e, y(0) = 1,…

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Q: Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral…

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Q: Problem 10 (a) State the definition of the Laplace transform of a function f(t), t≥ 0. (b) Explain…

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Q: calculate the volume of G where G is bounded by 2= x² + y²₁ ²²+ y² = 4, 200 SS f d v

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Q: Use Laplace transform to solve the partial differential equation: 8² y dy = +xt where y(x,0) = 0,…

A: Solution

Q: Economics Consider the following in normal form: B S B 4,2 0,0 S 0,0 2,4 a. Is there a Nash…

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Q: 2. If f(x, y) = log (x² + y²), then ƒ + fyy is equal to 1 (a) x² + 2 (b) 0 + y 2 x² - y² y²-x² (c)…

A: We need to find the partial derivatives fxx , fyy  of the function f(x, y)=log(x2+y2) to find fxx +…

Q: /Solve the following Assignment problem using the Hungarian method.. 12 3 4 5 J1 83 7 6 2 J2 51 514…

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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: Volume of Solid Revolution(Circular Disk and Washer Method) Find the volume of the solid generated…

A: given curve x2+y2=4 find the volume of the solid generated by revolving the area bounded by the…

Q: Show that for any ly ≤ 1 and|x| < 1. 1- xy 1-2xy + x² = Σ Tn (y)x" n=0

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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: Consider the ordered bases B = ((5,-9), (-1,2)) and C = ((3, 1), (-4, 3)) for the vector space R².…

A: Note: According to our guidelines we can answer only first three subparts

Q: Calculate 2 -3] -1 2022

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Q: How many 7-letter words contain exactly 2 vowels? (For example, an 8-letter word with 5 vowels is…

A: To find the number of words contain exactly two vowels :-

Q: Given P(A^c-complement)=0.40, P(B) =0.40, P(AUB)=0.75, P(A)= 0.60, P(B^c)=0.75 Find P((AnB)^c)

A: Additional Law of Probability gives P( A ∪ B ) =P(A) + P(B) - P(A∩B)

Q: Q6: Let R=(Z,+, .). Find a) Characteristic of R b) Prime ideals of R c) Nilpotent elements of R

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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: Use the Crank-Nicolson method with h = 0.1 and k = 0.01 to approximate the solution to the problem…

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

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Q: If u = x² tan equal to (a) (c) x - y x + y - 2 x² + -1X 2² μ is - then 9 Әхду y -1 ½ - y² tan X (b)…

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Q: Use Newton's Method to make the second approximation x2 to the solution of 2e™ = ex. Take ₁ = 1.

A: To use Newton's method to make the second approximation to the solution of the below equation.…

Q: Q2: State and prove the first isomorphism theorem.

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Q: Find the Laplace transform of 1. f(t) = ½ [1 − u₂π(t)](2 sin t — sin 2t)

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Q: (32) Find the derivative: d dx (J cos(x) √1-t²dt

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Q: Problem 13 Compute the three following inverse Laplace transforms: 72 8s 12 L-1 (²-3), 2-1(8+6}, and…

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Q: Let X be a limit point compact metrizable space. (a) Show that there exists no continuous,…

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Q: 20) If y = a e/, then radius of curvature p = a sec² 0 cosec 0, if (a) 0 = tan-12 (b) 0 = tan ay -1…

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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: Find the mass of a plate bounded by arch of the curve y = sin x, and the x-axis, if the density…

A: Solution :-

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: Consider the differential equation: 1+ y² xy+y³+y dz This differential equation is not linear in y,…

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Q: Please explain Modular Exponentiation Find the modular of the following: 5^4358 mod 10

A: This is an easy question and is a consequence of the property of the number 5. The detailed solution…

Q: uppose you 17 one-dollar bills to give out as prizes to your top o discrete math students. How many…

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Q: value problem: power y' + 4xy - 4y = 0, 0 = 2 y(2)=2, y'(2) = 4. solution of the in

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Q: The knapsack problem (KP) can be solved with dynamic programming (DP) in O(nS), where n is the…

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Q: Q4: A- Find the flux of the field F = i+j+k √√x² + y² +2² bounded below by the plane z-0 and bounded…

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Q: -8y y² + 4xy − 2x² √ - dx

A: We can solve this using given information

Q: Find the least squares quadratic which best fits the curve Y= ex interval •< X<I ao+aix +azx over…

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Q: The matrix has eigenvalues -4, 1, and 3. Find its eigenvectors. The eigenvalue -4 has associated…

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Q: (32) Find the derivative: d dx *cos(x) √1 - t²dt

A: Solution:-

Q: (a) fo dx 4 2 √3x-x²

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Q: Exercise (1-3): By Charpit method solve the following PDE (3): p²-q²y = y²-x² (4): (y² +4)xpq −2=0

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Q: Consider the positively oriented surface S₂ defined by the vector function R(u, v) = (u sin v-3, u…

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Q: /Solve the following Assignment problem using the Hungarian method.. 12 3 4 5 J1 83 7 6 2 J2 51 514…

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Q: 是 Suppose the differential equation = 2x²-1 where y(0) = 0. dx 8) Create a slope field the…

A: To plot the slope field for the differential equation of the form y'(x)=f(x) recall the following…

Q: Let W be the set of all vectors of the form with r, s and treal. Find a matrix A such that W =…

A: Solution:-

Q: If A, B, C are sets, show that a) A x B= 0 ⇒ A=0 or B = 0. b) (AUB) x C = (AXC) U (BxX C). c) (An B)…

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