K(-2, 4) is a point on the terminal side of 8 in standard form. Find the exact value of cose.

Q: Q₁. Find the vertex connectivity K(G), edge connectivity K'(G) and minimum degree 8(G) of the graph…

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Q: Find the general solution of the differential equation, (5e-3 sin (3x)) dx + (5xe-y + 2 cos(3x)) dy…

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Q: Minimize C=20x₁ + 2x2 subject to 4x1 + x₂ 221 3x₁ + x₂ 25 X₁, X₂ 20 a. Form the dual problem.…

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Q: Given dy_y-x, with y = 1 for x = 0; dx y + x VO GRA mately for x = 0.1 by Euler's method (Five…

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Q: Solve the following boundary value problem: 1 0 u Hu 1ди + ar2 r ar + r20Ф2 =0, 0<r < 3, -n < ф<n,…

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Q: 1 Separate variables to find a solution a. yy' +36x=0 b. y'=1+4y², y(1) = 0

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Q: Assume that money earns 4.75% p.a. simple interest and use today as the focal date. a. What was the…

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Q: 21. Find the area bounded by the curve r4cos20. A. 8 sq.unita c. 4 sq.unita B. 2 aq.units D. 6…

A: Given: The curve, r2=4cos2θ.   To find: The area bounded by the given curve.

Q: Specify singular Points (Singular type and its order if necessary) f(2) √2² +1 2 1+22

A: A complex number is represented as z=x+ιy and a complex function is a function of z. We can write a…

Q: Solve the problem. -18 H Let a₁ a₂ , and b 17 Determine whether b can be written as a linear…

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Q: State why the function 22²-37 +ě is analytic everywhere

A: The given function is         f(z) = 2z2 - 3z + e-z then, we have to state why the given function is…

Q: Please use the formula Speed = distance ÷ time as instructed

A: use the formula Speed = distance ÷ time as instructed .

Q: Find the inverse Laplace transforms of the following functions: c. F(s) = e-3s (8-5) (s + 1)(s+2) d.…

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Q: 1. Determine vector and parametric equations of the plane that contains the points A(1, 2, -1), B(2,…

A: Since you have posted multiple questions. we will solve first question only due to the bartleby…

Q: Let ß=4 [³][3] and and = are bases for R² -3 a. Find the change-of-coordinates matrix from top. 3 b.…

A: We can write the matrix form of the basis β as A=-34-10 and the matrix form of the basis ξ is…

Q: - Using Lagrange interpolation formula, find the value of sin points 6 X: 0 π/4 π/2 sinx: 0 0.707107…

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Q: Evaluate (+1)(-2) dz where c is iz-11=2

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Q: The augmented matrix is given for a system of equations. If the system is consistent, find the…

A: The given augmented matrix is                               14-2-310013-5-1-4-2-919

Q: Evaluat the following integral by reversing 4, 4

A: Introduction: Step for reversing the order of integration: Recognize that the iterated integral is…

Q: What value(s) of 6 are an appropriate choice when proving the following limit? 5 lim = -∞ x→-4…

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Q: (a) Given the vector field F = xy + 2yzý + 3zx 2, calculate the line integral around the closed path…

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Q: =. Find the smallest 3-regular graph G such that (G) 1.

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Q: The graph below is the function f(x) 3 02 -5 -4 -3 -2 -3- Determine which one of the following rules…

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Q: A forest contains 39 vertices and 36 edges. How many connected components does the graph have? 72

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Q: 8. Express the given function using unit step functions and compute its Laplace transform Attempt…

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Q: Solve the system of equations. X₁ - X₂ + X3 = 8 X₁ + X₂ + X3 = 6 X₁ + X2-X3 = -12 The product of the…

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Q: (1) jj ² */20 2 2y cos dydx

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Q: The green graph below shows the graph of the solution to 1 29 +by' + cy=0 y(0) = 0, y'(0) = 1 for…

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Q: (x2 + y²)dx + 2xydy = 0 ә2u ә2u ә2u = 0 + 0x2 дуг дz2 yy’’ = x = +

A: According to guidelines I solve first 3subparts so kindly request you to repost the reaming…

Q: Evaluate: √ye dx By using Gamma function. is

A: I have given the answer in the next step. Hope you understand that

Q: of [Adj A], if i -i

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Q: 8. Express the given function using unit step functions and compute its Laplace transform sin t ū ex…

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Q: 2. Use the graphical method to find ₁ and 2 so as to minimize z = f(x₁, x₂) = a₁ +422 subject to ₁…

A: We have to find the solutions x1 and x2 using the graphical method.

Q: Solve the equation. (x + 9xy4) dx + ex² ex²y³dy = 0 Begin by separating the variables. Choose the…

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Q: 4. If we do not discuss orthogonal diagonalization, you may omit this problem. Let A be any m x n…

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Q: 7. Find a power series solution for the following: y" + y = 0

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Q: Determine a closed form expression for Enxh n>0

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Q: given that u = Solve the heat conduction equation д2и ди = 2x2 Әt 0, when t → ∞o, x = 0, x = 1.

A: The given problem is to solve the given partial differential equation with given initial conditions…

Q: method and Gauss-Seidel method to sol Tol = 1 × 10-4. Show the detailed calcul 1 -X1 + 1/2 X 2 + —…

A: There are three iteration given. Gauss Seidel method can be used.

Q: Noel has deposited P 52,000 with an interest of 4.5% compounded semi-annually. What is the compound…

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Q: Find all the values of x such that the given series would converge. (-1)"6" xn (√n + 3) n=1 The…

A: Convergence of the series

Q: Determine whether the basic feasible solution corresponding to the given tableau is optimal. X1 X2…

A: The basic feasible solution corresponds to the linear programming problem. The optimal solution…

Q: Mrs Devi gave some money to her three children, Muthu, r Gul. Krishna's share was 3 of Muthu's…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: A vibrational system consisting of a mass m = 1/4 slug attached to the spring 2.5lb/ f t is modelled…

A: The given differential equation is d2ydt2+5dydt+6y=7 sin4t........(1) To find: the general solution…

Q: Exercise 6: Represent the function (=) = { -COST COS I in the form of Fourier series. -TMINO O<I≤T

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Q: Solve the problem. 0 E --6 0 1 The columns of 13 are e₁= e2= e3 0 Suppose that T is a linear…

A: We have to find a formula for the image of an arbitrary x=x1x2x3 in ℝ3

Q: Given the following non-homogeneous differential equation x³y +x²y"-2xy' +2y=x-². answer all of the…

A: We know that , non-homogenous differential equation is given by ,  andnydxn + an-1dn-1ydxn-1 +…

Q: ind the solution of y'+; =y given y(1) = 1.

A: We have to solve given problems:

Q: x yy' + 4x² + y² = 0 y(2)=-7, x > 0 This is homogeneous. Solve it using the method of homogeneous to…

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Q: The value of contour integral C where c: |Z| = 2. (z−1)²(z–3) dz

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