Evaluate (any way you want) the integral fF.dr, y² x=3 4 9 oriented counterclockwise, and F(x, y, z) = (xy, yz, xz). where C is the ellipse 2² + = 1,

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Q: Determine the x-and y-coordinates of the centroid of the shaded area. 9" 6" y 3" ブ →

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Q: Rewrite the following as a sum of trigonometric functions with no powers greater than 1. sin¹ (6x) =

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Q: Suppose a population of P(t) satisfies dp/dt = 0.4P -0.001P 2 P(0) = 50 A. What is the carrying…

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Q: Consider the following Extended Form Game: O True A' (9,5) O False A P2 P1 B' A' B (5,2) (8,5) A P2…

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Q: Q13. Suppose a connected graph, G, has 9 vertices. How many edges must there be in a spanning tree…

A: Sol:- No. of Vertices = 9

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Q: 5.Determine the generalized Greens function that is needed to solve d^2u/dx^2 + u = f(x) u(0)=a and…

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Q: John and Rosamond want to retire in 15 years and can save $150 every three months. They plan to…

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Q: Determine whether the following series converges absolutely, converges conditionally, or diverges.…

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Q: Q16. Consider the graph with the following vertices, edges, and weights (weights are stated as the…

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Q: Let be the transformation f : R → R given by f(x) = x^2 +1 Check if it has periodic points with…

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Q: ) Consider the matrix A = [a b] with a, b, c and d real-valued numbers. Under which condition(s) for…

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Q: Suppose set A={1,2,3,...,50} is divided into exactly two disjoint, nonempty sets. For example, one…

A: My approach is the I break into 2 disjoint part and take cardinality(number of element) of every…

Q: solve the following Differential equation y'(x²y3+xy )= 1

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Q: Let 3 be the surface with equation given by 4x² − 9y² = 9 (z² + 4). 1. Find an equation of the trace…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: In each of Problems 9 through 24, use the linearity of L-1, partial fraction expansions, and Table…

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Q: For the graph shown below, compute for the total weight of a Hamiltonian cycle using the Greedy…

A: Given graph  The total weight of the Hamiltonian Cycle using the Greedy Cycle is determined.

Q: Rewrite the following as a sum of trigonometric functions with no powers greater than 1. cos(u + v)…

A: In this problem you can use relation between sin^2(4x) and cos(8x) and use hint you will get answer.…

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Q: Solve the given differential equation by undetermined coefficients.

A: Given,              y''-2y'+2y=e2xcos(x)-4sin(x)

Q: Let p, q, u, and j be meaningful statements such that (p)^(p→q)^(q→¬u)^(¡V¬u) is true Determine the…

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Q: QUESTION 4 Using the definition of convolution find the convolution of the following functions (f*g)…

A: We use Convolution theorem.

Q: Ꮎ Use the information given about the angle 0, 0≤0 ≤ 2, to find the exact value sin 2. sin 0 = - √5…

A: Given That : sinθ=-55, 3π2<θ<2π To Find : Exact  value of sinθ2

Q: Let f(x) = ln x. By using the following formula for first derivative approximation: - - f'(x) ≈ f (x…

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Q: Let be the transformation f : R → R given by f(x) = 3x − 3x^2  Check if it has periodic points with…

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Q: [Linear Algebra] E5 Provide proof for: Let M be a n x n square matrix. Prove that the row vectors of…

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Q: Use cylindrical coordinates. JSS x² + y2 dv, where E is the region that lies inside the cylinder x²…

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Q: 4. Construct the truth tables for the following statements to determine whether each of the…

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Q: Let g(t) = e²tU(t-2) + Sin(3t) U(t-n) By using the definition of the Laplace transform we find that…

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Q: 15. What is the correct piecewise parametrization of a path C created by starting from C₁ of…

A: Introduction: The parametrization is a very significant part that is related to vector calculus.…

Q: nts in different ways.

A: We can select 6 different restaurant from 8 is =28 ways

Q: Find the value of a if the centroid of the region bounded by the parabola y² = 4px and the line = a…

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Q: Let be the transformation f : R → R given by f(x) = e^x  Check all your periodic points

A: A function f(x) is said to be a periodic function if f(x+T) = f(x)

Q: Use Polya's 4 steps problem solving strategies Yesterday, Allan got confused about which day of the…

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Q: If cot(z) = (in Quadrant 3), find 29 13 Give exact answers. sin T 2 tan === COS(-)- 2 (-) ||

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Q: Draw the directional field for the differential equation. y' = y2 − 1 What can you say…

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Q: Consider the vector space R4 under usual addition and scalar multiplication. a) Determine whether…

A: Given : (a) S ={ (2b-3c  ,b  , c ,   b-5c ) b ,c are real numbers  }                (b) S=1,2,3,0,…

Q: If cos(x) = Give exact answers. sin(2x) cos(2x) tan(2x) = 19 (in Quadrant 3), find

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Q: l-1 s + 1 ع أما (3 – s)2ی

A: L-1s+1s2(s-3)=?Lets use partial fraction decomposition Let  s+1s2(s-3)=As+Bs2+Cs-3

Q: = -log₂ (x+3) y=. Equation of Asymptote: Mapping Rule: 2 0

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Q: Use the determinant of the coefficient matrix to determine whether the system of linear equations…

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Q: F(s) = = 4 3s7(s²+3)

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Q: Why is this correct?  Is it because of the zero row when reducing to row reduced echelon form?…

A: In this question, the concept of the matrix is applied. Matrix A matrix is a rectangular array or…

Q: Find the inverse Fourier transform of the following: 2 sin 5w (1) /2πt.w

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Identify the following for the polynomial function: i) iv) g(x)=x (3x+4) (-2x+1)(x-5) the degree the…

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