Convert the polar equation to a rectangular equation. r= 6 cos e + 5 sin 0 О х2 - у2 - 6х + 5y O x² + y2 = 5x + 6y 6х + 5y - 0 O x2 + y2 = 6x + 5y

Q: Evaluate e-y dy da by converting to polar coordinates.

A: Given: ∫-22∫04-x2e-x2-y2dydx We want to evaluate above integral by using polar coordinates

Q: Convert the equation rsin 0 = ln r + ln cos 0 from polar to cartesian.

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Q: Solve the equation z* = -2 – 2/3i where z E C. (a) Write your answers in polar form. (b) Write your…

A: Note: Polar form of complex number  z=r(cosϑ+isinϑ) , where theta is the argument and r is the…

Q: Write polar form of z= – 2-i 5(cos2.68 – i sin2.68) 5 (cos2.68 – i sin2.68) 3 V5 (cos2.68 – i…

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Q: Transform the polar equation T into rectangular coordinates 5 3 sin 0-4 cos

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Q: 45. The rectangular equation x² + y² - 2x=0 written in polar form is r = 2 cos.

A: The rectangular equation is x2+y2-2x=0

Q: The polar equation 9 cos 0 +2 sin0 = in Cartesian form is defined by I Y A. C. 9x +2y=1 +/-/22 - 1 9…

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Q: Replace the polar equation with an equivalent Cartesian equation. r² = 44r cos 0 (x-22)² + y²-0…

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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: r² = 16sin² (20)

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Q: Convert the equation x' + y' =4y-3x to polar coordinates. Isolate r in your final answer.

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Q: Write polar form of z=-2-i V5 (cos2.68 + i sin2.68) 5(cos2.68 – i sin2.68) V5(cos2.68 – i sin2.68) 5…

A: We are given the complex number : z=-2-i=x+iy⇒r=-22+(-1)2=5tan θ=-1-2=12Now, x=r cos θ<0and y=r…

Q: (b) Given the equation z₁ = 1 + √3i, z₂ = −2 −2i. (i) Convert z, and z₂ into polar form. (ii) Hence…

A: Given the equation z1=1+3i, z2=-2-2i (i) To convert z1 and z2 into polar form. (ii) Hence, by using…

Q: 79.45 m B. 110 m Simplify (3+5)(-2+17) and convert it into polar form. 13.04(cos4.64+sin4.64i)…

A: Given query is to simplify and convert in to polar form.

Q: Replace the polar equation 1 1 r = 1– sin 0 1+ sin 0 with an equivalent Cartesian equation. Choose…

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Q: 1. Express 2/3 + 2i in polar form.

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Q: (a) Solve the equation 2x² + 3x + 4 = 0, giving the roots in the rectangular and polar forms (b)…

A: See the attachment

Q: Convert to polar coordinates with r >= 0 and 0° <=u <= 2pi   (2,0)

A: We have the given rectangular co-ordinates as x,y=2,0 We can calculate the Cartesian coordinates x,y…

Q: Replace the polar equation with an equivalent Cartesian equation. r= 40 sin 0

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