Use Green's Theorem to find the work done by F(x,y)=x(3x+y)i+xy^2j in moving a particle from the origin along the x-axis to (2,0), then along the line segment to (0,2), and then back to the origin along the y-axis.

Q: 6. 2. 3.

A: Follow the steps below.

Q: that A → B F (Vx)A → (Vy)B, if y is not free in B.

A: Solution

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Q: 23-8K

A:

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A: To find the integral.

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A:

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A:

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A:

Q: Example 1: Graph f(x) = x', and determine the domain and range of f. Solution: f(x) -3 -2 -1 3…

A:

Q: 3 Show that the series E: is convergent and find its sum. (n+3)(n+4) n-1

A: Simplify the general term of the given series.…

Q: Suppose f is Reimann integrable on [a,b]. If f (x)< 0 for all x E [a, b], then S f(x)dx

A:

Q: In a certain school, the probabilities of the number of students who are reported tardy are shown in…

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Q: 92 (a) Determine the roots of fix) -13-20x+ 19 -3x graphically. In addition. determine the first…

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Q: Find the series solution of y"+ (1+x2)y=0 using the power series method.

A: Consider y=∑n=0∞anxn be the solution. Differentiate the expression of y to obtain the expressions of…

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Q: Prove that if H has index 2 in G, then H is normal in G.

A:

Q: 3. a). Let X be normal with mean 50 and variance 9. Determine c such that P (X c) =1 %, P (50 – c…

A:

Q: 3. Show that 1 > 0. 4. Show that if a > b and c < 0, then ac < bc.

A:

Q: Given the data 2 5 6 f(x) 4 5.25 19.75 36 a) Calculate f (4) using Newton's interpolating…

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Q: DIRECTIONS: If U = {a, b, c, d, e, f, g, h, i, j, k}; A = {a, b, c, e, f,}; B = {b, c, d, e}; C =…

A:

Q: %3D 7. Evaluate the following integrals using the multiple rule of integration take (Ax = Ay = 1):…

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Q: 2. Compute for a real root of 2 cos x- sin Vx 1. 4. accurate to 4 significant figures using…

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Q: Describe the graph of the equation: r = 4ti – 8j + (1 + 2t)k. [Choose the correct answer.] The…

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Q: fos 4 csc" xdx

A: If y=f(x), then the variable x is called the input of the function, and the variable y is called the…

Q: 15–20 Identify the surface whose equation is given. 15. z = 4 – r² 16. p sin ø = 2 17. r = 2 cos 0…

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Q: d2y/ dx2 + y = xsinx and show that the solution is  y=c1sinx +c2cos x - x2cos x/4+xsinx/4

A:

Q: For each graph, identify the domain and range of the relation. Also, determine whether the graphed…

A: (a)     Domain : { -2, -1, 0, 1, 3 }          Range : { -1, 3, 5 , 3, 3 }          Function : Yes…

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A: Use the following definitions, to obtain the solution. The cumulative distribution function of a…

Q: 3. Suppose F z = 4 – a? – y? above the r- y plane, oriented upward. Calculate fe F dĩ in two ways:…

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Q: Given the following: g(x) = 2 + x - x², [a,b] = [0,3], p = 1 a. Verify that the two conditions of…

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Q: Let a b A = d e h i and -2a -2b -2c B =| -2g -2h -2i -2d -2e -2f Given that det(A") = 1, what is…

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Q: 3(x2 – x1) – 2.x1 = -80 3(x3 – x2) – 3(x2 – x1) = 0 - 3(x4 – x3) – 3(x3 – x2) = 0 3(x5 – X4) – 3(x4…

A: Given the system of equations.…

Q: Question 1 Use Laplace Transform technique to solve the initial value problem y' + 2y = 26 sin 3t ,…

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Q: . For n, m 20 and n # m, show S' T.(z)Tm(7). VI- -dr 0 This is called the orthogonality relation for…

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Q: ow that (a bn > In (1+ ) (1 + ±) P2 c) Show that: limn->00 (1+ (1+±)· (1 + ) P2

A:

Q: Evaluate the triple integral. 10x dV, where E is bounded by the paraboloid x = 5y? + 5z2 and the…

A:

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Q: 1-Determine if W is a subspace of Mnn CEMnn, W = {AEMnn : CA'C²= A} %3D

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