Question * Three adults and five children are seated randomly in a row. In how many ways can this be done if the three adults are seated together? 6! x 3! O 2! x 6! 5! x 3! 51 x 21

Q: How many cycles of length 18 are there in the following graph?

A: Consider the given graph: We need to find the total number cycle of length 18. Consider the given…

Q: Enumerate and define the different curve fitting techniques. Cite your reference.

A: Two types of curve fitting are there• Least square regression and • Interpolation

Q: Ex. Locate the centroid X of the shaded area shown. 1 m y=x²

A: Consider the given figure. We have to locate the centroid x¯ of the shaded region. We know that,…

Q: Consider the experiment where two fair six-sided dice are rolled and their face values recorded. a)…

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Q: apply the method of order reduction to find a second solution of the given differential equation.…

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Q: 1) this case? Consider V = C as a R vector space. What is the complexification Vc in

A: Given that: V=C as a R vector space. The objective is to determine the complexification Vc. Now…

Q: Maximize Z-150x1+125x2+95x3 Subject to Assembly Inspection 1.5x1 +1x2 +0.5x3 =0 3 3.5x1 +2.75x2…

A: Given Data: Maximize z=150 x1+125x2+95x3  Assembly - 3.5x1+2.75x2+ 1.25x3<=x1150 Inspection -…

Q: 3. Consider the following graph: (a) Decompose the graph into no more than 4 edge-disjoint cycles…

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Q: Solve the given initial-value problem, y" +49y = 0, y(0) = 6, y(0) = -3 3 v(x) = 6 cos (71) - 2…

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Q: Let positive real numbers a not equal to 2 and b not equal to 12. Consider the function: f(x) = a²x4…

A: Given function is fx =a2 x4 -6ab x2-11 b2    and   a≠2,  b≠12.

Q: (1-x²)y" - 2xy' + (a(a + 1) + µ²/(1 − x²)) y = 0, y(0) = yo, y'(0) = y₁

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Q: Find a basis for the space of 2 × 2 diagonal matrices. 1881.88 Basis

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Q: Determine a root of the polynomial function given below using Muller's Method. Show the step by step…

A: Use the following formulae, to find the root of the function fx by the Muller method.…

Q: A population of 40 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary…

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Q: Find a) Find area Find (4) Find oren inside V=2 in host quarter. • grea insider=1+coso out side…

A: Since you have asked multiple question, we will solve the first question for you.  If you want any…

Q: 3) Using Z-transform properties, perform the z-transform of the following discrete-time signals a)…

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

Q: 2 Solve the following ODES by Inverse Operator method 1-2 ý -2y +y = e sinx ý tỵ X X Ans: y=c₁e +…

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Q: 4) Let : R³ → R[t]<2 be the linear map that sends 4(e₁)=t+t² 4(e₂) = 1-t 4(e3) = t Write the matrix…

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Q: The closed form of the recursively defined function T(n) = 2 T(n-1) +3^ T(0)=20 Can be written in…

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Q: 4. The table shows the number C of cars in an office parking lot over the course of a work day. The…

A: The data given is as follows: t 0 1 2 3 4 5 6 7 8 9 10 11 12 C 13 67 92 108 82 52 15 75 100 110…

Q: 2. Welfare effects of a tariff in a small country Suppose Venezuela is open to free trade in the…

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Q: 8. How many integer solutions are there to the inequality Y1 + y2 + Y3+ y4 0, 0 < y2 ≤ 10, 0≤ Y3 ≤…

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Q: 26) In the scenario below, how many different sums are possible? A. 13 Mario mast select one of the…

A: We have 8 cards numbered 0 to 7 and we have a dice. We need to pick one card and then roll the dice…

Q: 7. DETAILS Use a graphing utility to graph the curve represented by the parametric equations.…

A: 7. Given x= 5 sin(2θ),      y=2 cos(2θ)   To Graph: The curve represented by the parametric…

Q: 20x + 20y = 80X20-3 3. Rajah di sebelah menunjukkan susunan gambar di dalam sebuah bingkai gambar.…

A: The distance between the pictures is 2 cm and the distance between the picture and the edge of the…

Q: 2. a) Compute the integral fa f(x) dx using 5 point composite rectangle, trapezoid and Simpson rules…

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Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

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Q: 4. Determine whether the following statements are true and give an explanation or counterexample. -k…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: 16. By inspection, a simply-connected and continuous region R A. has no holes and is closed. B. has…

A: Introduction: The application of connected regions is very significant in different fields of…

Q: 1. Gaussian quadrature by hand ( Approximate the following integrals using Gaussian quadrature with…

A: Gauss quadrature 3-point formula ∫abf(x)dx ≈ b-a259f(x1)+89f(x2)+59f(x3) where…

Q: Solve the given third-order differential equation by variation of parameters. y"" + y' = cot(x) y(x)…

A: To find- Solve the given third-order differential equation by variation of parameters. y''' + y' =…

Q: Let V, W be finite dimensional vector spaces over F and let T: VW be a linear map. Recall the…

A: First we list all the maps we have with definitions. Here we have given that T:V→W we have map…

Q: apply the method of order reduction to find a second solution of the given differential equation.…

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Q: 5. (a) State the Fermat's theorem. (b) Use Fermat's theorem to find the remainder of 83 when it is…

A: 5. (a) To State: Fermat's Theorem   (b) To Use: Fermat's theorem to find the remainder of 8103 when…

Q: on (0, 2π). Show that the set of functions cos nx, n= 1, 2, 3, ..... is orthogonal

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Q: 1. Which of the following transformations are linear? a. T: M→M defined by T(A) = A + I where A € M…

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Q: Find w(r, t) in the form of Fourier sine series over 0 < I<: w(r, t) = [w.(t) sin(nz) 0<I<1

A: First, we have to solve part (a) in order to find out the solution for part (b). You can find the…

Q: 20. Let f(t) 1/t for t = 0. a. Find the average rate of change of f with respect to t over the…

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

Q: Prove that for any positive integers a₁, a2,..., an, there exists integers 1, 2,...,n, such that a₁₁…

A: To Prove: for any integers a1,a2,...,an there exists integers x1,x2,...,xn, such that…

Q: Use technology (Desmos or graphing calculator) to create a linear regression (line of best fit) to…

A: For the given the data, find the line of best fit to determine the length when amount of time is 115…

Q: 9. 2ss" + (s)² = 0 s = [C(x − ₂)]³

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3) Let T b d e d] = i) A basis for Ker(T) would be: ii) The Nullity of T is: la + 1b+(-1) c+0d + le+…

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Q: 8. How many integer solutions are there to the inequality Y1 + y2 + Y3+ y4 0, 0 < y2 ≤ 10, 0≤ Y3 ≤…

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Q: Find the solution of the given initial value problem. y (4) + 18y"" + 123y" + 378y' +442y = 0; y(0)…

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Q: Suppose a tank in Memphis leaks toxic chemicals. The area affected is a circle centered on the tank.…

A: Note: As a company policy, we solve only first three sub-parts. Please re-submit those remaining…

Q: 4. Highlight a Hamiltonian cycle, if possible, in each of the following graphs, or state that no…

A: To find- Highlight a Hamiltonian cycle, if possible, in each of the following graphs, or state that…

Q: 1.)Supposed that a mass weighing 10 lbs. stretches a spring 2 inches. If the mass is displaced…

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Q: Find the determinant by row reduction to echelon form. 1 -2 -2 0 -3 0 24 4 6 - 2 4 4 -4 6 1 9 24 8 0…

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Q: a) Suppose Jim consumes two products x and y. Jim’s budget constraint is given by the equation: $9x…

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