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Home » Calculate \( A \approx 153.86 \). - Dachbleche24

Calculate \( A \approx 153.86 \). - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 x^2\left( \frac{1}{100} - \frac{1}{64} \right) = 0 \Rightarrow x^2 = 0

📌 Only solution is \( x = 0 \), \( y = \pm8 \).

📌 But geometrically: ellipse \( \frac{x^2}{100} + \frac{y^2}{64} = 1 \) has semi-major axis 10 (x), semi-minor 8 (y).

📌 Circle radius 8 — so it touches the ellipse only at \( (0, \pm8) \).

📌 But does it intersect elsewhere? Try \( y=0 \): ellipse \( x = \pm10 \), circle \( x = \pm8 \) — no intersection.

📌 At \( y=0 \), circle has \( x = \pm8 \), ellipse: \( x^2 = 100 \Rightarrow x = \pm10 \), so \( x=8 < 10 \), within ellipse.

📌 So the circle lies inside the ellipse and touches at \( (0,\pm8) \) — only two intersection points.

📌 But the question asks for how many points from the orbit are **reached** — meaning intersection points.

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rac{r^5 - 1}{r - 1} > 100
We test integer values of $ r > 1 $ (since $ r = 1 $ gives $ S_5 = 15...
For $ r = 2 $:
rac{32 - 1}{2 - 1} = 31 \quad \Rightarrow \quad 3 \cdot 31 = 93 < 300
For $ r = 3 $:
rac{243 - 1}{3 - 1} = rac{242}{2} = 121 \quad \Rightarrow \quad 3 \cd...
Thus, $ r = 3 $ satisfies the condition, and since $ r = 2 $ does not,...
Question: A primatologist observes that the number of vocalizations a...
We compute the terms step-by-step using the recurrence $ v_n = 2v_{n-1...
$ v_2 = 2(10) - 7 = 20 - 7 = 13 $

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