1-For spherical polar coordinate system Zr Zr (2² exp(- 2a 1 Z. -) sin OCosø 42 `a а Jy„V„dV = 8_ =? %3D px px

Q: The relationship between rectangular coordinates (x, y) and polar coordinates [r, 0] can be…

A: According to question,Given equations,x = r cos θ,y = r sin θ,r = x2 + y2tan θ = yx

Q: Q1/ / Find the area of the region that lies inside the circle r=1 and outside the cardioid r= 1-…

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Q: 3. a) Find polar coordinates (r, 0) of the point (1, -/3), where r> 0 and 0 <0 < 2 p2 = x² + y?, tan…

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Q: IQ5] Solve the following of A- Change from cartesian (i) (ii) (1,√3,-2√3) to Cylindrical and…

A: Cartesian coordinates (1,√3, -2√3)x= 1y= √3z=-2√3

Q: Change from rectangular to spherical coordinates. (Let p 2 0, 0sos 2n, and 0 sos n.) (a) (0, 7, -7)…

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Q: Bernoulli's equation: Q: dy don + m Sinzy = nicorty Herce, Plw) = e Noww by dividing both sides by…

A: The differential equation of the form, dydx+P(x)y=Q(x)yn is called as Bernoulli's differential…

Q: The asymptotes of the graph of the two given parametric equations are * 1 and y = %3D t + 1 O x=0 ,…

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Q: Cannot solve

A: To convert rectangular equation into polar equation put x = r cosθ and y = r sinθ then rearrange the…

Q: Convert S ² (3 cos 0 + 4r sin² 0) drde СТ [² S²³ (3x+4y2) dyda into polar coordinates 3r+4r sin 0…

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Q: Find the solution of polar coordinate f(z) = Z+ sine function by using Cauchy-Riemann method.

A: Cauchy Riemann method in polar form

Q: +4. In figuse LODOB =87 and LCOA= 82°. z7 L BOA- 35 then find LCOB and LCOD. D. 8. 87 35

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Q: The polar equation of the circle with Cartesian equation x² + y2 = 100 is:« A r= 100- В r= 10 sin 0…

A: To find  The polar equation of the circle with the given equation.

Q: polar equation of x^2 +y^2=4

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Q: Write the equation in spherical coordinates. (a) 5z2 = 8x2 + 8y2 (b) x2 + 3z2 = 7

A: Any point in the rectangular coordinate system is represented as x, y, z. Any point in the spherical…

Q: 2. \ Evaluate •V4-2² dydx + dydx 2x-r2 using polar coordinates.

A: We have to evaluate the integral using polar coordinates.

Q: AB is in the interior of LCAD, M2CAD = 62°, M2CAB = (2k -4)° and mLBAD = (5k - 4)°, find the value…

A: Answer

Q: Solve the BVP in spherical coordinates v²u = 0, 1< p< 2, 0 < ¢ < t. u%3D

A: Given ∇2u=0, 1&lt;ρ&lt;2, 0&lt;ϕ&lt;πu1,ϕ=3P2cosϕ, u2,ϕ=P3cosϕ

Q: (1) cylinderical polar co ordinate and (2) Spherical polar co ordinate

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Q: A point is given in rectangular coordinates. Convert the point to polar coordinates (r > 0, 0 <0 <…

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Q: S -1 sin y³ +1 2 dydx

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Q: 1 A particle with positions given by the equations, x = cos³ B and y sin³ B = traverses the circle…

A: x=cos3β and y=sin3β To Calculate:Velocity dydx and acceleration d2ydx2.   Note: Since we have posted…

Q: Please show all work and do all parts. Only do question 1.

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Q: If the relation between the spherical coordinates ' and the rectangular Cartesian coordinates x is…

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Q: in the rang xis by 360

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Q: Change from rectangular to spherical coordinates. (Let p 2 0,0 < 0 < 2n, and 0 < g < .) (a) (0, 7,…

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