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Home » We solve \( e^-0.05t = 0.25 \). - Aurero

We solve \( e^-0.05t = 0.25 \). - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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Find the remainder when \( u^4 + 3 \) is divided by \( u^2 - 2u + 2 \)...
We are to divide \( u^4 + 3 \) by \( u^2 - 2u + 2 \) and find the rema...
We write:
u^4 + 3 = (u^2 - 2u + 2)Q(u) + au + b
To find \( a \) and \( b \), perform polynomial division or use substi...
Letâs use the roots of \( u^2 - 2u + 2 = 0 \). The discriminant is \...
u = rac{2 \pm \sqrt{-4}}{2} = rac{2 \pm 2i}{2} = 1 \pm i
Let \( lpha = 1 + i \), \( eta = 1 - i \). Then at \( u = lpha \):
lpha^4 + 3 = alpha + b

📝 Recent Posts

angle - 2(2)\langle 0, 1
angle = \langle -1, 2
angle - \langle 0, 4
angle = \langle -1, -2
Slope = $rac{-2}{-1} = 2$. The reflected ray has slope 2 relative to...
A micropaleontologist observes that the abundance $A(t)$ of a microfos...
To find maxima, take derivative: $A'(t) = 1000 [ -0.03 e^{-0.03t} \sin...
Factor: $A'(t) = 1000 e^{-0.03t} [ -0.03 \sin(0.1\pi t) + 0.1\pi \cos(...
Set derivative to zero: $-0.03 \sin(0.1\pi t) + 0.1\pi \cos(0.1\pi t)...
$rac{\sin}{\cos} = rac{0.1\pi}{0.03} \Rightarrow an(0.1\pi t) = ra...

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