Calculate the line integral f(-102 + 4z + 5) de + (-7z – Oy? – by – 4) dy, where Dis the annulus gven by the polar inequalities 4 Srs band 0sos 2r. You may assume the inner hole of OD has a negative orientation and the outer boundary of OD has a positive orientation. Enter an exact answer. Provide your answer below:

Q: Q17:- In polar coordinates prove that** 第。

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Q: solve

A: please upvote

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Q: II. Given the polar curves 62 r = 1 + sin and : 63 r = 3 sin 0. 1. Determine the intersection points…

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A: Explained below...

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Q: Given the polar curves 62 r = 1 + sin and C3:r = 3 sin 0. 1. Determine the intersection points (in…

A: Given clear explanation

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Q: Let f ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)}  g=…

A: It is known that f-gx=f(x)-g(x) and f·gx=f(x)·g(x). The sets are provided as:…

Q: 1. Evaluate this integral using polar notation: -3 IS 16- -3 √16-x² ¹6* (x² + y²) dy dx + + S²₁0²7²…

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Q: ..D .20 Show that fe conversion to polar coordinates. dx = √n by considering e-(x²+y²) dxdy and a

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Q: 1. For z = 3 – j5 and z, = -2 + find the polar form of the following: d. Rel는 Rel를1 е.

A: Let's find.

Q: 2. Let r>o and Fo tina20 And use polar coordinates KZQ and use polar coordiinates (8,7) >(0,0)

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Q: Identify the surface асе

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Q: Convert the integral 6 LLdyde dy dx 0 -x to polar coordinates and evaluate it (use t for ): ☐, b =…

A: The objective of this question is to convert the given integral in Cartesian coordinates to polar…

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Q: in C6. Evoluate the Rxpiession, write your ans wer polar and rectangulor form

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A: We are given the quarter globe by K = x, y, z∈ℝ3 : x2+y2+z2≤169, x≤0, z≤0. Let x=r sin θ cos φ, y=r…

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Q: Z'+Z=2

A: I am providing the solution of (ii) only. The solution is as follows below:

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Q: Use polar coordinate to find S² So 1-(x-1)2 x+y x² + y² dydx

A: A double integral ∫02∫01-x-12x+yx2+y2dydx To Find: Use polar to find the above integral. "As per the…

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Q: EXAMPLE 3 Evaluate fE Vx + z'dv, where E is the region bounded by the paraboloid y = x + z and the…

A: To evaluate the below triple integral. ∫∫∫Ex2+z2dV Here E is the region bounded by the paraboloid…

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A: To convert the foolowing integral into polar coordinates and to evaluate it.

Q: (b). Compute: x = a* Given a = 3-7i, b = 8 + 3i y=a-b z = xy express z in the polar form..

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Q: дz ду Find at the point (1,2), if z= sin IX. y If z= cos y determine

A: Since, these all are different problems, so, I am solving the question 1 only.