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Home » Fennekin Shocked the Internet—Here’s the Viral Animal You Need to See Now! - High Altitude Science

Fennekin Shocked the Internet—Here’s the Viral Animal You Need to See Now! - High Altitude Science

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 f(2) = 2(2)^3 - 5(2)^2 + 3(2) - 1

📌 Calculate each term separately:

📌 2(2)^3 = 2 \times 8 = 16

📌 -5(2)^2 = -5 \times 4 = -20

📌 Combine these results with the constant term:

📌 f(2) = 16 - 20 + 6 - 1 = 1

📌 Thus, \(f(2) = \boxed{1}\).

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Question: A comet follows a hyperbolic trajectory described by $ 4x^2...
Solution: Rewrite the equation by completing the square. Group $ x $ a...
4(x^2 - 8x) - 9(y^2 - 6y) = -115.
Complete the square for $ x $: $ x^2 - 8x = (x - 4)^2 - 16 $.
For $ y $: $ y^2 - 6y = (y - 3)^2 - 9 $.
4[(x - 4)^2 - 16] - 9[(y - 3)^2 - 9] = -115 \implies 4(x - 4)^2 - 64 -...
4(x - 4)^2 - 9(y - 3)^2 + 17 = -115 \implies 4(x - 4)^2 - 9(y - 3)^2 =...
Divide by $ -132 $ to standardize:
\frac{(y - 3)^2}{\frac{132}{9}} - \frac{(x - 4)^2}{\frac{132}{4}} = 1.
The center is at $ (h, k) = (4, 3) $.

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