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Home » But \( C(t) = 2.5 \) at \( t = 2 \), not 2.5. - Blask

But \( C(t) = 2.5 \) at \( t = 2 \), not 2.5. - Blask

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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g'(s) = 2 - \frac{1}{s^2}
Set $ g'(s) = 0 \Rightarrow 2 = \frac{1}{s^2} \Rightarrow s^2 = \frac{...
So minimum occurs at endpoint $ s = \frac{1}{2} $:
g\left( \frac{1}{2} \right) = 1 + 2 \cdot \frac{1}{2} + \frac{1}{\frac...
Thus, the minimum value is $ \boxed{4} $.
Question: A philosopher of science considers three unit vectors $ \mat...
Solution: Since $ \mathbf{a}, \mathbf{b}, \mathbf{c} $ are unit vector...
\|\mathbf{a} + \mathbf{b} + \mathbf{c}\|^2 = \|\mathbf{a}\|^2 + \|\mat...
= 3 + 2(\mathbf{a} \cdot \mathbf{b} + \mathbf{b} \cdot \mathbf{c} + \m...
Each dot product $ \leq 1 $, and maximum occurs when $ \mathbf{a} = \m...

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What is the sum of all the even divisors of 60?
First, find the prime factorization of 60:
= 2^2 \times 3^1 \times 5^1
The divisors of 60 are of the form \( 2^a \cdot 3^b \cdot 5^c \) where...
To find the sum of even divisors, note that an even divisor must inclu...
\( a = 1 \) or \( a = 2 \)
\( b = 0 \) or \( b = 1 \)
\( c = 0 \) or \( c = 1 \)
We compute the sum:
\sum_{\substack{a=1\\b=0\\c=0}}^{2,1,1} 2^a \cdot 3^b \cdot 5^c

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