x^2 + y^2 = 45. Convert the equation to a) cylindrical coordinates and b) spherical coordinates.
Added by Amber S.
Step 1
To convert from rectangular to cylindrical coordinates, we use the following equations: x = ρ cos(θ) y = ρ sin(θ) z = z Substituting these equations into x^2 + y^2 = 45, we get: ρ^2 cos^2(θ) + ρ^2 sin^2(θ) = 45 ρ^2 = 45 ρ = sqrt(45) Show more…
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