Q.1) Use the polar integral to evaluate 2 dydr 71+ Vr2 + y?

Q: Evaluate L₂Lova (4-3²) dydx -√4-x² by using polar coordinates.

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Q: 5. Evaluate: tan-(2 – 3j). Express in polar form

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Q: -Usc polar coordinate to evaluate a2-x2 dxdy a2-x2 axdy

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Q: Find the product Z₁Z2 and the quotient Z₁ = 10(cos(110°) + i sin(110°)), Z1Z2 = Z1 Z2 Z1 Express…

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Q: 3 Evaluate the integral cos(x² + y²)dydx by converting to polar coordinates 0 0

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Q: Convert the conic r = 1 5- 5 sin 0 to rectangular form. Hint: r=√√x² + y² and y=r sin

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Q: 7. Use polar coordinates to evaluate: fe(x²-y²) dydx

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Q: Expressw= (-1-√2i) in polar form.

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Q: Q1) Evaluate the integral dy dx using polar coordinate

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Q: 7. Evaluate JJ S² S² √x² + y²dydx + by converting to polar coordinates. 2√2 1/2v² √²² √2³² + 1²³dyde

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Q: 1/2 VI (Iy xy <p p xp

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Q: • Evaluate the following integrals: Convert this Cartesian equation (x² + y²)²_9(x² - y²) = 0 to…

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Q: Q2: Sketch the polar function r 3 6 cos 30 ,-n<0 < m

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Q: 4. Evaluate: sin (1+ 2j). Express in polar form

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Q: cos (0.48-j0.38) express in polar form

A: we have to express cos 0.48-j0.38 in polar form: we know that cosx-jy=cosxcoshy+jsinxsinhy Now, here…

Q: 3) Use polar coordinate to evaluate S'S_√x² + y² dxdy.

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Q: 9. Use the Residues Theorem to calculate 1+ sin² ª -de. Sketch the contour you used.

A: We have to find integral using Residue Theorem.

Q: 5. Evaluate: tanh-(1-2j). Express in polar form

A: We have to evaluate given expression in polar form

Q: Evaluate the integral | 3 19-x? cos(x² + y´)dydx by converting to polar coordinates

A: We have to solve the given question.

Q: 1. Find the values of x and y: a.) (1 + j2)* = 5+ j10 b.) (3 – j5)(6 + j4) = (x + jy) 2

A: Solve the following Find the values of x and y: a) 1+j2X =5+j10 b) (3-j5)(6+j4)=(x+jy)2