uppose that you arrive at a service center having two counte usy at the moment but there is no one else waiting in line. Y ervice as soon as either counter becomes free. If the service ounters is exponential with rates 0.05 and 0.08 per minute,

Q: :Q2 Find F(t) for the differential equation below x²y' + 2xy – 2y = 0

A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

Q: Jydy b.

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Q: 1. Parameterize the following surfaces: (a) The part of the parabolic cylinder z = 1 - x? bounded by…

A: (a) Here given the part of the parabolic cylinder  z=1-x2 bounded by the planes z=0, y=0 and y+z=2.

Q: Determine whether the series con verges or diverges.State which test Convergence / divergence you…

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Q: The logistic function ranges from 0 to 1 and has an 'S' like shape to it. O True O False

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Q: Ive. 9*1 =275x-1

A: If bases are equal then automatically powers must be equal in order to satisfy an equation

Q: s (x) In (1t x2) 74.8

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Q: find the total dominating set for: Kmin

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Q: Let r(t) = (sin(2t), sin(t)) for 0<t<T. Find the area bounded by this curve, rounded off to two…

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Q: 3. Find the general solution of the system: dx = x + y dt dy -2x – y dt

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Q: R.2. Can you give an example of a function g:N→N such that g maps N onto N but g is not one-to-one?…

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Q: 14 he following as aisebvaic expvessions write Pasitve. in X (no trigonome ). Assume x is sin [are…

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Q: Show that the following method is convergent, and determine it's global order of accuracy. 1 At (Yn…

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Q: x" – 6y' – 7x = 0 y" + x = 3 x(0) = x'(0) = y(0) = y'(0) = 0. %3D %3D

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Q: and P is the vector space of polynomials of degree <2. If p is the vector space of polynomials of…

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Q: Question 4 Find the degree of the polynomial p(x, y) = (x + xy)2(1+y°) – x²y° and input your answer…

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Q: Set up and simplify (but do not evaluate)/ F. dr, where F(x,y) (x2, xy), andC is the arc of the…

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Q: Q1: Al Rabie Housewares Company produces goods A, B and C and the profit of Each of the mentioned…

A: The following steps are used to find the solution of the linear programming problem by the simplex…

Q: 1) Coirect Proo8) Fove that the produck of two whsecutive integers ís divisible by 2. 2. (indirect…

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Q: Two-point Gauss-Legendre formula S (2x + ) dx

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Q: 2. Find the value of the Euler phi-function at each of these integers- e) 10! b) 256 d) 2.3-5-7-11-…

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Q: Q3/ solve Partial Differential Equation a2u 1- дхду ey cos x

A: To solve the given partial differential equation

Q: State the order of the given ordinary differential equation. (1 - x)y" - 9xy' + 5y = cos x Determine…

A: The given ordinary differential equation is…

Q: Set up and simplify (but do not evaluate) : 3x ds, where C is the arc of the circle r2 + y² = 4 from…

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Q: x' – y = 0 у — 2 — у %3D 0 2(0) %3 2, у(0) %3 1.

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Q: 2. Use zero- through third-order Taylor series expansions to predict f (3) for f (x) = 25 x3 - 6x2 +…

A: We have f(x) = 25x3-6x2+7x-88 f'(x) = 75x2-12x+7 f''(x) = 150x-12 f'''(x) = 150

Q: QUESTION 5 If x and y are two incongruent primtive roots of a prime p. is x+y a primitive root of p?…

A: In this problem we shall use the definition of primitive roots to show if the number given in the…

Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D. F =…

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Q: 43. 4+16+18+. . +n (nt3) [n (n +)(n+5)3 • Cuse mathematiral Inducrion) ... for n € 2 t

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Q: Question 5. By choosing a specific "A(x)" over the natural numbers show that the claim in quotes…

A: Given,We have to choose a specific A(x) over the natural numbers. To prove that the theorem…

Q: V15 Integrate G(x,y,z) = z over the parabolic cylinder y =z“, 0sxs3, 0 sZS Write the integral…

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Q: Use the order reduction method to solve the following initial value

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: Zak C U6 Graphing Name 3) sle)- 2 4) ste) =- -3 Period: Graph function. State the (CA) center of…

A: The graph of a function f(x) is the ordered collection of points (x,y) in the cartesian coordinate…

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. /36-22 xy dy dx dz =

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Q: Both sets below are bases for P,: P = {pj• P2. P3} = {1+r?, 1+2r, t + 2r²} Q = {q,• 92» 93} = {1+3t…

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Q: Investor Matt has $830,000 to invest in a CD and a mutual fund.  The CD yields 3.3% and the mutual…

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Q: 1. Find the general solution of the system: -6 2 X = -3

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Q: Problem 9. ) Construct a linear fractional transformation that maps –1, i, 0 to o, 0, -i,…

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Q: [16]A solid cone has a height of 8 cm. It has a volume 4 times the smaller cone that could be cut…

A: Here is the three solutions of the given questions.

Q: Question 11 Nancy read one third of a book, then she read one fourth of the remainder. If there are…

A: Let number of pages of the book be n.  Then first Nancy read one-third of the book, i.e, n/3 pages.…

Q: Question 4 Solve the initial value problem: y' = - 0.03y+ 6 y(0) = 50 %3D y(t) = %3D Question 5 3t…

A: Question 4.

Q: 17. Use the Divergence Theorem to find the outward flux across the boundary of the region D where F…

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Q: Answer  1)  4-1 2) 2 Intersection 4  3) (2 U 3) - 1

A: The following graphs are determined as shown below.

Q: what is the maximum size of independent set ? And give examples

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Q: Solve the system Y1 = 26y1 + 13yY2 + 13y3 Y2 = 13y1 + 26Y2 + 13y3 %3D Y3 = 13y1 + 13y2 + 26y3 NOTE:…

A: Given system of differential equation is y1'=26y1+13y2+13y3y2'=13y1+26y2+13y3y3'=13y1+13y2+26y3…

Q: 4. "p ^9 5. р ^~ 9

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Q: Recall that Hamilton circuits that differ only in their starting points or sense considered the same…

A: Sol

Q: Show that f(2) = (2-1) cos) singue has an essential z + 2 at 2=-2

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Q: Sally has a sum of $20000 that she invests at 11% compounded monthly. What equal monthly payments…

A: Solution

Q: Use the given transformation to evaluate the integral. u = y - x, v = y + x; V-x V +x R where R is…

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