(1) Determine what comes next in the given pattern and provide solution/explanation: -7, 2, 11, 20, ======

Q: 2. 2y (x²-y tx) dx-(x²-2y) dy = 0

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Q: The asymptotes of the curve r = are 2a (a) r sin, -0)= √3 √3 T 3 - 0) = 2a (5-0) - + √² (c) r sin 3…

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Q: 6. Let A, B, C be (3 × 3) matrices, such that det (A) = 2, det (B) = π, What is the value of det…

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Q: Use Laplace transform to solve the partial differential equation: o²y_by -+xt where y(x,0) = 0,…

A: Solution

Q: Let A be an n x n matrix. Let n-1 c(z) := det(zIn − A) = 2² - Σckzk - k=0 be the characteristic…

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Q: Minimize f = x²+x+60x, subject to the constraints 8₁x₁-8020 82x₁+x₂-120≥0 using Kuhn-Tucker…

A: Minimize :  f = x12 + x22 + 60x1subject to ,    g1 = x1-80≥0                        g2 =…

Q: B. Find the coefficients specified in each item. 2. a² in (6 - 1/2a)6 a4 4. k4 in (3k – 21)¹2

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Q: 5. y = tan-¹tan x] ab 6. f(x) = x² cos-¹¹-√x²-1 7. f(x) = tan ¹(sin² (2x)) 8. y = (cot ¹(sin¹(x))³

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Q: Use Laplace transform to solve the partial differential equation: ²ud²u du(x,0) t> 0, 0<x<1, u(x,0)…

A: Solution :-

Q: For each function below, determine whether it is Even, Odd, or Neither 4 1 f(x) = +4x Select an…

A: In this question, the concept of even and odd functions is applied. The function is said to be an…

Q: If you borrow $2,400 for 4 years at an annual interest rate of 6%, how much will you pay altogether?…

A: When the interest is simple, then the formula used is A=P(1+rt), where, A is the final amount, P is…

Q: 4. How to solve optimization problem and under what circumstances would the answer be…

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

A: Solution

Q: The Laplace transform of 1 a) √s (S-1) 1 √(√S-1) b) IC (VT) IS?

A: In this question, the concept of Laplace Transform is applied. Laplace Transform The Laplace…

Q: Calculate - 2x²y dx + 2xy² dy, where C is the circle of radius 3 centered on the origin. use this…

A: Given that, Pdx+Qdy=-2x2dx+2xy2dy, Therefore, P=-2x2y, and Q=2xy2, Thus, need to use Green's Theorem…

Q: (b) Use appropriate software to sketch the following polar curves i) r = cos(7.10) + cos² (0) ii) =…

A: A polar coordinate system contains a reference point and a reference direction. The reference point…

Q: 5. y=-tan- tan-¹tan x] ab

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

Q: Q3\Find trigonometric function =3/2

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Q: Remark. Every (finite Countable set is negligible or infinite)

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Q: Salve, U++54x+bИy то in ga (озоо) =0 Subject to; Ц(э, уоо) = x+4

A: ut + 5ux + 6uy = 0 in R2 [0,∞) Subject to ;                 u(x, y, 0) = x + y

Q: Exercises: A. Find for the following: dx 1. y = (5x+3)6 2. y = sec(2x) + tan(2x) 3. y = ln(x²-3x -…

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Q: Consider the function f(x) = 3x for 0 < x < 4 (a) Find the function g(x) for which fodd (2) is the…

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Q: 17-18. Find the constant of variation and the equation of variation given that y varies jointly as x…

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Q: (i) Let A be an n x n matrix over C and II be an m x m projection matrix. Let z E C. Calculate…

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Q: undirected graph Draw the graph corresponding to the adjacency matrix 0 1010 10011 (a) A = 00011 (b)…

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Q: 1. Find the adjacency matrix of each graph Matrix A= [?] 1/2 Matrix B= [? ] V/₂

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Q: @ F₁ { f ² (x)} = √ ² Pf60) - P² Fs {f(x)} Fs proof: How.

A: It is Fourier sine transformation

Q: A nature reserve has one bird of an uncommon species which frequents the large expanse of reed beds…

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Q: ؟ - ؟ - A = If A is orthogonal, what must x equal? Answer: √2 ال است - اة - أي اه اه الله √√x √3

A: We state the definition of an orthogonal matrix and then try to solve this problem.

Q: @) Fs / 1² f (x,y) / = P√= $(94) - P²Fs [P;y) dx² proof. (H-w-) арсх, у) · as x If f (x,y) → 2

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Q: f(x) = 3.1.³ et 1. Using the laws of Calculus, provide the expression for f'(x)- which will be our…

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Q: Solve the following complex numbers 1. sin[ln(8 + j5)] 2.   sinh[ln(8 + j0)] + cosh(8ej0.785)

A: We need to solve the following complex numbers. Note: We will be using the trigonometric and…

Q: dy +1=_Y --- dx with initial conditions y = 1 at x = 2.0, produce a numerical solution of the…

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Q: 1. Let I= {(x,y) | a, y € 2Z}. (a) Show that I is an ideal of Z × 2Z. (b) Use FIT for rings to show…

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Q: Let I (a, b) be a bounded open interval and f: 1 2 be a monotone increasing function on I. (i) If f…

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Q: Solve : subject to со и(x,y,о) = x+y Их + 5 их + вид

A: We are given the following differential equation with a boundary condition.     ut+5ux+6uy=0   in…

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

A: The given function is: fx, y=logx2+y2 Differentiate f partially with respect to x using chain rule…

Q: Q4\ find a polar equation for the circle x² + (y - 3)² = 9

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Q: semi-circular baggage compartment in an airplane is 38' long, 15' wide, and 7.5' high. How many…

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Q: THE REGION BOUNDED BY 2y = x AND (x-2)² = − 4y + 12 15 REVOLVED ABOUT THE LINE Y = 4. DETERMINE THE…

A: Introduction: The washer method refers to this application of the slicing method. Because the slice…

Q: IS a and*: is a binary operation on St

A: Given: Statement of the definition of the underlying set of systems. To find: The correct word to…

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

A: We will find out partial derivatives with respect to each variables x and y.

Q: Use Laplace transform to solve the partial differential equation: 8² y dy dx² at +xt where y(x,0) =…

A: Solution

Q: Player 2 Cooperate (1,000, 1,000) Player 1 Cooperate Cheat Cheat (400, 2,000) (500, 500) (2.000,…

A: Given, Payoff matrix for two players, each with two strategies are given below.     Player 2…

Q: Use (a modified) diagonalization to show that for cach sequence So, S1, S2, ... of subsets of N,…

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Q: (ylny − e¯xy)dx + ( + xlny) dy - = 0

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Q: Prove that the symmetric group (S₂, 0) is abelian.

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Q: y dy dx x+1=- x with initial conditions y = 1 at x = 2.0, produce a numerical solution of the…

A: For a differential equation of the form: y'+P(x)y=Q(x), the integrating factor is calculated using…

Q: Tensor Auv is type (2 0) and tensor Wv is type (0 1). prove that AuvWv is a tensor of type (1 0)…

A: It is given that, Auv be tensor of type 2,0. Wv be tensor of type 0,1. it is known to us that if A…

Q: Prove that the only idempotent elements in an integral domain R with unity are 0 and 1.

A: Idempotent element : An element a in a ring R is said to be an idempotent element if a.a = a .…