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: 21) Find the area of a triangle fosmed from the twovectors a = L'+2j-k-.

A: Given, a ⇀=i+2j-kb⇀ =2i-j+4k

Q: V18-x2-y Convert (x² + y + z?)dzdxdy into spherical coordinates. 2n/3 3V2 4 p* cos pdpdpdO /2 -n/2

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Q: V32 z y Convert I| T_ (2² + y? + z*)dzdrdy into spherical coordinates. */4 */2 4/2 Cos */2 J0 /3 /2…

A: Triple integral is used to integrate function of three variable over the three dimensional region.…

Q: Cannot solve

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

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

A: The given rectangular coordinate point 5, -53, 103. We have to convert this point into spherical…

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: For spherical polar coordinate system 1 Z -Zr Zr 3/2 4/2 a exp(-()sin OCoso 2a px a V WmdV = 8 = ?…

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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: Find the edlution of the following equstions: (osx<r) a) cosx- casx =0 . b) tan2x = 3 tan X Sin8X .…

A: We have to solve the following equations.

Q: Use spherical coordinates to evaluate 1-²1-x²-x² 2-y2 (x² + y² + z²)² dz dy dx

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Q: Find the polar equation for the Cartesian curve x² = Or= Or T = Or= Ora 1 Or= -tan 0 2 1 2 1 sin 0…

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Q: b) A particle moves in simple harmonic motion according to the equation, s = 0 x Acos(wt)+ 0 ×…

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Q: he polar equation for circle x^2+(y- 3)^2 =9

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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: 13, mz1=(x² +7) and mz2 (2x² + 19)".

A: we have to find the angle between the floor and the light beam.m∠1=12x2+7°m∠2=2x2+19°sincem∠1=m∠3now…

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

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Q: Q1// Converting r= 12 cos 0 r = 12 cos 0 from polar to the equation of a circle?

A: Given problem:- Converting r = 12cos(θ) from polar to the equation of a circle?

Q: convert spherical point to cylindrical (6, pi, pi/3)

A: To find- Convert Spherical point to Cylindrical. 6, π, π3

Q: in the rang xis by 360

A: