1. 3h+11
2. -2r
3. g-4
4. 5f+4
5. 15z
Answer:OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF
Step-by-step explanation:OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF
Answer:
Because it is a mixed fraction and it should be renamed in order to solve your problem, for the other one CAN NOT be converted into a mixed fraction.
Yes you do need to regroup it would be 4
Answer:
4096π / 5
Step-by-step explanation:
∫∫∫ (x² + y² + z²) dV
In spherical coordinates, x² + y² + z² = r², and dV = r² sin φ dr dθ dφ.
E is the range 0 ≤ r ≤ 4, 0 ≤ φ ≤ π, 0 ≤ θ ≤ 2π.
∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r²) (r² sin φ dr dθ dφ)
∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r⁴ sin φ) dr dθ dφ
Evaluate the first integral.
∫₀ᵖⁱ∫₀²ᵖⁱ (⅕ r⁵ sin φ)|₀⁴ dθ dφ
∫₀ᵖⁱ∫₀²ᵖⁱ (¹⁰²⁴/₅ sin φ) dθ dφ
¹⁰²⁴/₅ ∫₀ᵖⁱ∫₀²ᵖⁱ (sin φ) dθ dφ
Evaluate the second integral.
¹⁰²⁴/₅ ∫₀ᵖⁱ (θ sin φ)|₀²ᵖⁱ dφ
¹⁰²⁴/₅ ∫₀ᵖⁱ (2π sin φ) dφ
²⁰⁴⁸/₅ π ∫₀ᵖⁱ sin φ dφ
Evaluate the third integral.
²⁰⁴⁸/₅ π (-cos φ)|₀ᵖⁱ
²⁰⁴⁸/₅ π (-cos π + cos 0)
²⁰⁴⁸/₅ π (1 + 1)
⁴⁰⁹⁶/₅ π
