) xy²dx + y³secx dy = 0

Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy = 0

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Q: In problems 1 to 3 solve the given differential equations by writing the general solution. Write all…

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Q: Aside from finding the optimal routes, what are other real-life applications of Hamiltonian…

A: To write: (i) Applications of hamiltonian circuits. (ii) Applications of Graph theory.

Q: What is the surface area of the composite figure? Round to the nearest tenth. 14 ft 14 ft 6 ft 14 ft…

A: The total surface area of an object is the total  area that the surface of the object has occupied.…

Q: The augmented matrix of a system of linear equations is given in reduced row-echelon form. Find the…

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Q: , 300 shoppers were asked whet -mail account. Their responses a

A: Introduction: The word "percentage" was derived from the Latin word "per centum," which means "by…

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A: Given an experiment on observation of cars to see whether it turns leftL, rightR or goes straight…

Q: a) In Pascal's Triangle, which row has a sum of 33,554,432? b) Express as a single term in Pascal's…

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Q: The growth rate of a certain bacteria is known to ve proportional to the amount present. 5000…

A: We have to use P=Poektwhere: P = population Po = initial population k = proportionality constant t =…

Q: Does the graph represent a function that has an inverse function? 2)

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Q: Give a vector parametric equation for the line through the point (4, 2) that is perpendicular to the…

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Q: (a) Find the roots of the function, f(r) = r – - 1, analytically up to 3 decimal places. (b) and…

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Q: f"(t) = f(t), ƒ(1) = 0, f'(1) = 1. We also know |f(t)| and |f'(t)| are bounded above by 3+1 over the…

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Q: Consider a four-state system whose Hamiltonian is given by Vo +A 0 8Vo 3V -21 0 -21 7V where Vo is a…

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Q: Find the solution. y'+ ty = ty3

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Q: rection field for the differential equation y - 4x sin(y) is shown. -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5…

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Q: Using the following feasible region, determine the minimum and maximum given the objective function:…

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Q: How many ways can 10 used cars at a parking lot be parked in a row if the 4 different black cars…

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Q: 8. A (blue) flagpole is to be constructed in the architecturally interesting shape shown at right.…

A: (a) Add all the lengths of material and represent it as L.

Q: Researchers asked 250 families whether or not they were homeowners and how many cars they had. Their…

A: Number of families having two or more cars       = 95 + 85      = 180 So percentage of families…

Q: Let f(x) = 2x3 – 0.0064x? – 1.5x +1 i. Indicate that f(x) = 0 has a root in the interval [-3, 0]…

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Q: Simplify as much as possible. 3 uV32v -4vy 50vu Assume that all variables represent positive real…

A: To simplify the given expression.

Q: Let a, b and c be integers. (i) If cla and alb then cb. (iv) If cla and cļb then c(sa +tb) for all…

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Q: If the number ordered is O, the number backordered is B, and the number shipped is S, which formula…

A: S = number of items shipped O = number of ordered items B = number of items backordered.

Q: Write the expression below in the form (a + b)" 1296x'? – 4320x®y² + 5400xʻy* – 3000x'y + 625ys

A: Pascal's triangle exaption of the algebraic equations

Q: 1 Evaluate | Iz| = 12.0 (z – 10.0) (z2 + dz . 169) 2

A: Cauchy residue theorem, evaluation of the integral

Q: 9. Find a basis y1(x), Y2(x) of the space of solutions to y" = Y such that Y1 (0) = 1, y (0) = 0,…

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Q: Prove that (a, b) | = |(c, d) | for any numbers a, b, c, d where a <b and e<d. Proof:

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Q: A = (; ) 5 -6 3 -4 (a). b) Find the eigenvalues and eigenvectors of A. Diagonalize A. (c) Find a…

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Q: Jar A contains numbers that are less than 26 and evenly divisible by 2. Jar B contains numbers that…

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Q: . RVW (Restored Volkswagens) buys 15 used VW's at each of two car auctions each week held at…

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Q: Find and classify the critical point of the linear system. dx/dt = -3x-y-19 dy/dt = 13x+y+69

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Q: 9. Find a basis y1 (x), y2(x) of the space of solutions to y" = y such that Y1 (0) = 1, y (0) = 0,…

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Q: quadrilateral whose vertices are formed by the points (1,1), (7,4), (5,11) and (-1,7) is a…

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Q: Solve the system +2x3 +2x4 16 -4x3 -3x4 -29 x2 113 -2x2 +15x3 +12x4 +4x3 3x1 +9x4 41 -x2 X3 = ||||

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Q: What is the z-transform of x(n) = ō(n) + õ(n – 1) + õ(n – 2) + õ(n - 3) + õ(n – 4) + d(n - 5) a. 1+…

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Q: 1 Expand f(z) : in the domain %3D (z-6) (z-9) 6 < [z] < 9.

A: Laurent series exaption in annulus

Q: Use the Newton Raphson method to find the second iteration of the root to 5 decimal places of the…

A: Given: f(x)=37x2+1e-x-40cos(2x) To find: Find approximate root of a given function using Newton's…

Q: If ACB and A= {1,3,5,7}, Which set could represent set B? O {2.4.6.8} O {1,2,4,8} O…

A: Given A ⊂ B and A = {1, 3, 5, 7}

Q: Question 23 of 25 Convert the ordered pair in polar coordinates to rectangular coordinates. Use…

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Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5?

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Q: 7. (a) Use Newton's method ONCE with an initial guess of ro = 0.1 to find an approxi- mation to the…

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Q: Problem 8. Which of the following maps are contracting mappings? 1 (a) f(x) = 3x – 4; (B) f(m) =…

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Q: Question 20 of 25 13x Match the point in polar coordinates 2, 4 to the points A, B, C, or D.

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Q: Exercise 3.13. Letf:A B be a one-to-one correspohde also a one-to-one correspondence. 1. Prove that…

A: Introduction: A function is referred to as one-to-one correspondence if it is both one-one and onto.…

Q: The current in a certain circuit as measured by an ammeter is a continuous random variable X with…

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Q: Solve the given system using Naïve Gauss Elimination X - y+z = 3 2х + Зу — 4z %3D 9 -x + 2y – z = 0

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Q: 2. Find all solutions to the equation y" +y – 10y = 0. Hint: p(A) = X3 + A – 10 = (X – 2)X² + 2A +…

A: The solution of homogenous linear differential equation of constant coefficient is find by…

Q: Consider the following. x = In(t), y = Vt, t2 81 (a) Eliminate the parameter to find a Cartesian…

A: Given parametric equation is  x=lnt, y=t,       t≥81

Q: Q8. a) Determine an algebraic expression that represents instantaneous rate of change at the point x…

A: Instantaneous rate of change at point