Evaluate the double integral f(r, 0) dA. 2 sin(0) cos(0) dr de Sketch the region R. A/2 T/2 3h 2 1 -3 -2 -1 1 3 -1 3 -3

Q: Use Green's Theorem to evaluate the line integral. dx + (2 + x) dy -y2/2 - C: boundary of the region…

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Q: Each of the vector fields in exercises 95-98 is conservative. Evaluate each integral by first…

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Q: 9 vertices (0, 0), (,0) and (l, l). (a) Evaluate the integral 3. Let be Let C be the triangle with…

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Q: Help

A: To evaluate the line integral ∫C​(y−x+xy)ds where C is the line segment from (3, 4) to (2, 1)   The…

Q: 4: Use Green's Theorem to evaluate the following integral e dx + (5x+ 6) dy Where C is the triangle…

A: Using green theorem to evaluate the following integral.

Q: 1 Let D= {x.y)|0sxs2,xsys1. integral x'e"dA= The x2exYdA = // x² sin(y)dA where R = [-1, 1] × [-2,…

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Q: Determine which of the differentials (or both) is the total differential: a) 2[cos(2x+2y²) + x ] dx…

A: a) 2[cos(2x + 2y²)+x] dx - [4y sin(2x + 2y²) + 1] dy is not a total differential, because it is…

Q: 2. Convert the integral In(r² + y? + 1) dx dy into a polar integral and then evaluate it

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Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) ¶ 6x³y…

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Q: Evaluate the line integral F. dr where F = (3 sin x, 3 cos y, 10xz) and C is the path given by r(t)…

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Q: Use Green's Theorem to evaluate the line integral of F = (x², 6x) around the boundary of the…

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Q: Evaluate sin sin(x) dx + z cos(y) dy + sin(y) dz where C is the elipse 25x² + 16y2 = 49, oriented…

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