Evaluate the line integral of f(x,y) along the curve C. f(x,y)=x +y, C. y= - 2x + 4, 0

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Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4- 3.…

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Q: Q3/Find the value of integral along the curve C joining the points (1, 1) and (2, 3) | (12z2 – 4iz)…

A: We have to find the value of integralalong the curve C joining thepoints (1, 1) and (2, 3).

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A: we have to find the following definite integral. For this we can use integration by parts

Q: 4. Evaluate the integral using Trapezoidal and Simpson's rule with h = 0.5, 0.25 and 0.125. = 1+ 2x3…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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A: greens theorem

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Q: Consider the curve segments: 1 S1: y = x from x =to x = 4 and %3D 2 1 S2: y = Vi from x = - to x =…

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Q: Verify Green's Theorem by evaluating both integrals aN dA |v² dx + - x² dy ax ду for the given path.…

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Q: 11 Evaluate the integral where Cis the boundary af the region that lies between x and the curues…

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Q: Assuming that f(x, y) is an integrable function, which of the two cross-sections would you choose to…

A: As per the question we are given a 2d region of integration defined as the area bounded by : y = ex…

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Q: Find the complete integral of 1 dz z dx 1 dz z dxz 1 dz =x1 X2 X3. Exe z

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Q: Evaluate the improper integral if it exists 1 dx: .1 2/2 .2 .3 The improper integral diverges .4 2.

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Q: 1) Express , 4xyz dV , where E = [0,1] x [0,2] x [0,3] by using different orders of integration.…

A: In the given question we have to find the integration ∫∫∫E4xyzdVwhere E=[0,1]×[0,2]×[0,3]  is the…

Q: 4. the value of the given integrals | z - i | = 2,(z € C) around the circle compute for positive…

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Q: Set up the integral used to find the length of the curve y = V1-25 on the interval -<zs Select the…

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Q: What are the limits of integration in the following definite integral? ∫05 5t2 dt  Select the…

A: To identigy the limits of integration in the given definite integral

Q: 3) . (3x2 — Зуz+ 2xz)dx + (3у? - 3xz + z?)dy + (372 — Зху + х? + 2yz)dz Calculate the curvilinear…

A: Let's find.

Q: Compute the line integral of f(x)=2x over the curve y=x^2 from (0,0) to (1,1)

A: Given query is to find the the line integral for the y = 2x over y = x2.

Q: By making an appropriate change of variables, evaluate the double integral -y², I = || ( + y)e* v°…

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Q: Find the complete integral of 1 dz 1 dz 1 dz z dxz Ixe z z dx2 = x1 X2 X3.

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Q: Evaluate the improper integral if it exists] .1 0 4. .2 0 1.30 The improper integral diverges.4 1/2

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Q: Compute the double integral , (62xy – x²) dA over the region bounded below by y = x', above by y =…

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Q: z csch V z´+1 dz Z CSC .2 Vz+1

A: Explanation of the answer is as follows

Q: compute the line integral of the function f(x,y,z) = x^2 +3y along the circle x^2 +y^2=4 from (0,0)…

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Q: Which of the following double integral allows to calculate the moment of inertia about the y-axis of…

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Q: Consider the curve segments: 1 S1: y = x from x =to x = 4 and 3 1 S2: y = Väfrom x =- to x = 16. Set…

A: We have to set up the integral that give the arc lengths of the curve segments. S1: y=x2 from x=13…

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Q: 1+1 dz is 1+ z6 By comparison test, the improper integral

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Q: Evaluate the integral fff, xyzdV,where: E = {(x, y, z)|–1 <x< 1,0< ys 2,1 szs 2}

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Q: 25. Describe the domain of integration of the following integral: LLE /5-x2=22 f(x, y, z) dy dx dz…

A: Domain can be discovered using the bounds of the integral. Domain is 1≤y≤5-x2-z2.

Q: 1 Oblicz d.x, Vax ах — х2 – x²

A: In this question, we have to evaluate the improper integral. Here we also use the property of Beta…

Q: You are rotating the region bounded by y 2 = x, y = 1, and x = 0 about the line x = 1. Set up the…

A: First, we sketch the region using a graphing calculator  y2=x , y=1 , x=0 The shaded region is…

Q: 5. (a) ( If ryz² + x²yz + ry²z = e*v², compute . (b) Let f(r,y) be some function. Set up the…

A: (a) The equation given in the question is: We need to evaluate  This represents the derivative of…

Q: 2. Use the Fundamental Theorem of Line Integrals to evaluate fe F.dR, where F(x, y) = (x²y? –…

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Q: Obtain the integrals of the functions f(x), entering your answers in the specified form, where c is…

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Q: In The value of the definite integral flm 12 √ex - 9 dx is in the form F(b) - F(a), where a JIn 9…

A: To evaluate: ∫ln⁡9ln⁡12 ex−9dx Let I =∫ln⁡9ln⁡12 ex−9dx Given: ∫ln⁡9ln⁡12 ex−9dx = c3-dπ Let ex−9=…

Q: Consider the curve segments: S1: y = r from x = to x = 4 and !! S2: y = Va from x=- to x = 16. Set…

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Q: 4. Find the total differential of z = In(x + y), x= w, y = w². By how much will z change if w…

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Q: integrals in the order dædzdy 11 x2 1 | s(e;y, z)dydzdr

A: Please refer to the image below

Q: Set up integral for the Velume aboud X- 3 X = * and Y=2

A: To set up the integral

Q: (ii) Calculate the iterated integral by first reversing the order of integration. S. St yer² 0 Vy x3…

A: Given double integration ∫01∫y1 y ex2x3  dx dy