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Home » 3^2 &\equiv 9 \equiv 2 \mod 7 \\ - Crosslake

3^2 &\equiv 9 \equiv 2 \mod 7 \\ - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Set this equal to 4:

📌 |t - 8| = 4

📌 This gives two equations:

📌 $ t - 8 = 4 $ → $ t = 12 $

📌 $ t - 8 = -4 $ → $ t = 4 $

📌 Both are integers, so there are 2 values.

📌 Question: Two advanced polymer sensors cost a total of \$88. If the price of each sensor increases by 12.5% due to higher graphene demand, what is the new total cost for six sensors?

📌 Solution: Original total cost for two sensors is \$88, so each sensor costs:

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Thus, the integral becomes:
W = \int_0^{2\pi} 9 \, dt = 9 \cdot 2\pi = 18\pi
The work done by the field is:
\boxed{18\pi}
Question:** An electrical engineer studies a alternating current signa...
First, express \( z(t) \) in terms of cosine and sine:
z(t) = 4(\cos \omega t + i\sin \omega t) + 3(\cos \omega t - i\sin \om...
z(t) = 7\cos \omega t + i\sin \omega t
Now compute the magnitude:
|z(t)| = \sqrt{(7\cos \omega t)^2 + (\sin \omega t)^2} = \sqrt{49\cos^...

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