1_2-Clickers-Sperical and Polar coordinates

# 1_2-Clickers-Sperical and Polar coordinates - Which of...

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1 Which of these integrals can be solved using “integration by parts”? i) ii) iii) A) none B) i & ii C) D) i & iii E) all of them dx ln x x 2 dx e x 2 dx x 2 e 2 x

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2 In cylindrical coordinates, what is the correct volume element, dV = ? A) dρ dΦ dz B) ρ dρ dΦ dz C) ρ2 dρ dΦ dz D) sinΦ dρ dΦ dz E) ρ sinΦ dρ dΦ dz x y z ρ φ z
3 In cylindrical coordinates, what is the correct volume element, dV = ? A) dρ dΦ dz B) ρ dρ dΦ dz C) ρ2 dρ dΦ dz D) sinΦ dρ dΦ dz E) ρ sinΦ dρ dΦ dz δρ δζ ρδφ x y z ρ φ

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In spherical coordinates, to integrate over a sphere (radius R, centered at origin) what are the correct limits of integration? (note the physics convention for θ and ϕ) A) r: 0 to R, θ: 0 to π, φ: 0 to 2π B) r: 0 to R, θ: 0 to 2π, φ: 0 to 2π C) r:-R to R, θ: 0 to 2π, φ: 0 to π D) r: -R to R, θ: 0 to 2π, φ: 0 to 2π E) None of these! x
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1_2-Clickers-Sperical and Polar coordinates - Which of...

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