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custom windows cursor set - IQnection

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Multiply both sides by \(x^2 + y^2 + z^2\):

📌 9c^2(x^2 + y^2 + z^2) - 9c^2 z^2 = (x^2 + y^2 + z^2)^2.

📌 9c^2(x^2 + y^2) = (x^2 + y^2 + z^2)^2.

📌 This is the equation of a **torus** centered along the \(z\)-axis with major radius \(3c\) and minor radius \(3c\), but more precisely, from the original form \(

📌 ho = 3c \sin(\phi)\), this describes a **sphere** of radius \(rac{3c}{2}\) centered at \((0, 0, rac{3c}{2})\) in Cartesian coordinates. To verify, note that:

📌 ho = 2a \sin\phi \Rightarrow ext{sphere of radius } a ext{ centered at } (0,0,a).

📌 Here, \(2a = 3c \Rightarrow a = rac{3c}{2}\), so the shape is a sphere of radius \(rac{3c}{2}\) centered at \((0, 0, rac{3c}{2})\).

📌 Thus, the equation describes a sphere of radius \(rac{3c}{2}\) centered at \((0, 0, rac{3c}{2})\).

🔥 Popular Posts

Subtract 15 from both sides:
= 9k
k = \frac{33}{9} = \frac{11}{3}
Thus, the value of $ k $ is $ \boxed{\frac{11}{3}} $.
Question: An ornithologist tracks a bird’s migration pattern using GPS...
Solution: The altitude is modeled by the quadratic function $ y = 3x^2...
x = \frac{-(-12)}{2(3)} = \frac{12}{6} = 2
Substitute $ x = 2 $ into the equation to find the minimum altitude:
y = 3(2)^2 - 12(2) + 15 = 12 - 24 + 15 = 3
Thus, the minimum altitude the bird reaches is $ \boxed{3} $.

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