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Home » Revolutionize Your Yoga Routine with the Forgotten Discipline of Yoga Sanskrit! - Carbonext

Revolutionize Your Yoga Routine with the Forgotten Discipline of Yoga Sanskrit! - Carbonext

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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Solution:** Use identity:
\tan \theta = \frac{\sqrt{1 - \cos^2 \theta}}{\cos \theta}
Given $\cos \theta = \frac{1}{3}$, compute:
\tan \theta = \frac{\sqrt{1 - \left(\frac{1}{3}\right)^2}}{\frac{1}{3}...
$$Question: A venture capitalist invests in 5 startups, each with a 25...
Solution: We model this as a binomial probability problem. The probabi...
P(k; n, p) = \binom{n}{k} p^k (1-p)^{n-k}
Here, $ n = 5 $, $ k = 2 $, and $ p = 0.25 $. Then:
P(2; 5, 0.25) = \binom{5}{2} (0.25)^2 (0.75)^3
First, compute the binomial coefficient:

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Using the AM-GM inequality, \(\tan^2 \theta + \cot^2 \theta \geq 2\),...
+ \tan^2 \theta + \cot^2 \theta \geq 7 + 2 = 9
The minimum value is achieved when \(\tan^2 \theta = \cot^2 \theta = 1...
Question:** An entomologist specializing in insect ecology is studying...
The given equation represents a circle centered at \((3, 4)\) with rad...
To find integer solutions, consider \(x = 3 + a\) and \(y = 4 + b\), w...
a^2 + b^2 = 25
Possible values for \(a^2\) are \(0, 1, 4, 9, 16, 25\). We check each:
\(a^2 = 0\), \(b^2 = 25\) gives \((a, b) = (0, \pm 5)\)
\(a^2 = 1\), \(b^2 = 24\) is not possible

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