Find a natural cubic spline interpolating the data (-1, 13), (0,7), (1,9)

Q: ) Solve by using Laplace transform the partial differential equation 0² a² y dt² =9. ox² y(0,t) = 0,…

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

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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: p²/ f(x)= x²³_ +|x x +2. show that f(x) & between хбо a root has 1.4 and 1.5.

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Q: Solve the following system using the Newton-Raphson method for one iteration, given that…

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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: Consider functions f: {1, 2, 3, 4, 5, 6, 7} → {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. a. How many of…

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

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Q: Find the chromatic polynomial of G

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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: 3.17 Let f(t) be a T-periodic signal and let g(t) be the signal given by 1 rt g(t) = f(u) du. a Jt-a…

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Q: Design the network represents the following activities, then find the critical path. M) activity…

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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: 7. Evaluate the integral x4 6x5 1 dx

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Q: If the slope of the line connecting the origin and a point P is 3/4 and the ordinate of P is 6, what…

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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: /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: 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: Use Laplace transform to solve the partial differential equation: o'y dy = dx² dt -+xt where y(x,0)…

A: Consider the given partial differential equation, ∂2y∂x2=∂y∂x+xt where yx,0=0, y0,t=0 and t>0,…

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

A: Introduction: An Euler path is one that uses each graph edge exactly once. An Euler circuit is one…

Q: Q5) Using graphical method to solve the following matrix game B1 B2 B3 A1 1 3 12 A2 8 6 2

A: This method can only be used in games with no saddle point, and having a pay-off matrix of type n×2…

Q: Use Laplace transform to solve the partial differential equation: d²ud²u du(x,0) t> 0, 0<x<1, u(x,0)…

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Q: Find the general solutions to the following differen (3.1) Un+1=un +7 (3.2) un+1=u-8, u = 2 (3.3)…

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Q: Q3) A building was photographed using an aerial camera from a flying height of 1000 m. The photo…

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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: 2. g(t)= t², -8 + 3t, ((t-6)² + 2 cos (²-²). 0 2

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Q: 2. If the population is infinite or the population is finite in which sampling is with replacement,…

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Q: برهن على صحة التكاملات التالية : fx²J, (x) dx = x²3, (X) + x1(x)-[Jux) dx J, [x*J₁ (x) dx = x* J,…

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

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

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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: show that there exists a Mobiola transformation which makes the region given by, 17-1+2() < 255…

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

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Q: Find the image of |z + pi + 2p| = 4 under the mapping w = p√² (e¹²) z. about

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Q: SD a strongly connected graph? D: W

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Q: Q4:- if you know that data ( 12, 10,12,10, 10,6) find the :- Mode, median, mean, variance and…

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Q: Problem 9. Consider a triangle and its inscribed circle. Join each vertex with the point of tangency…

A: Given: AB=c, AC=b,BC=a

Q: Evaluate the integral of the equation using Romberg's Method h = 0.5. h/2=0.25 h/4 = 0.125 h/8 =…

A: We have to evaluate the integral of the equation using Romberg`s Method.   ∫12(3x+2x)2 h = 0.5

Q: (c) A third tower is located at Heights Barn Hill. Let DEF represent the points on the map for…

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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: 24. Travel The prices for traveling between five cities in Colorado by bus are given in the table…

A: Consider the following weighted graph

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

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Q: Solve by using Laplace transform the partial differential equation 0² = 9. y(0,t) = 0, y(2,t) = 0,…

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Q: given parameters a,b > o and the given sequence x₁= b X = n+1 4 (x₂ + 4a) n Xn a. Show that a b.…

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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: Use substitution to find the Taylor series at x = 0 of the function In 1 + 4x8 What is the general…

A: We have to find Taylor series for function in 1+4x8

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)