With ϕ ≈ 1.61803 the golden ratio, we have 1/ϕ = ϕ - 1, so that
Replace :
Split the integral at x = 1. For the integral over [1, ∞), substitute :
The integrals involving tan⁻¹ disappear, and we're left with
Combine like terms to solve the equation
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The answer is 68cm^2. Hope this helps!
Answer:
15
Step-by-step explanation:
adding 15 black beads gives you 16 black beads and 4 white beads
16/4 =4/1 or 4:1