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Home » e^(-0,75) ≈ 0,4724 - Midis

e^(-0,75) ≈ 0,4724 - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 #### 28,501,250

📌 Light from the Sun takes about 8 minutes and 20 seconds to reach Earth. How far is Earth from the Sun in kilometers, assuming speed of light is 3 × 10⁸ m/s?

📌 Time = 8 min 20 sec = 500 seconds

📌 Distance = speed × time = \( 3 \times 10^8 \, \text{m/s} \times 500 \, \text{s} = 1.5 \times 10^{11} \, \text{m} \)

📌 Convert to km: \( 1.5 \times 10^{11} \, \text{m} = 1.5 \times 10^8 \, \text{km} = 150,000,000 \)

📌 #### 150,000,000

📌 A satellite requires 1,200 meters per second² of acceleration to reach orbit. If it starts from rest, how fast is it moving after 1 minute?

📌 Time = 1 minute = 60 seconds

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But we want **minimum**, not maximum. Can $ f(x) $ be less than 1?
Try $ x = rac{\pi}{4} $: $ \sin^2 x = \left(rac{\sqrt{2}}{2}
ight)^2 = rac{1}{2} $, $ 2x = rac{\pi}{2} $, $ \cos^2(2x) = \cos^2(...
But according to formula: $ f\left(rac{\pi}{4}
ight) = 1 - rac{1}{2}(\cos rac{\pi}{2} - \cos \pi) = 1 - rac{1}{2}(...
Can it be smaller? Try $ x $ such that $ \sin^2 x $ is small and $ \co...
Try $ x = rac
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d = 50 - 40 = 10
Thus, the values of \( c \) and \( d \) are:
\boxed{c = 20, \ d = 10}
An entomologist is studying insect pollination and models the number o...
To find \( p \), \( q \), and \( r \), use the given conditions in the...
For \( t = 1 \), \( F = 15 \):
p(1)^2 + q(1) + r = 15 \quad \Rightarrow \quad p + q + r = 15 \quad \t...
For \( t = 2 \), \( F = 40 \):
p(2)^2 + q(2) + r = 40 \quad \Rightarrow \quad 4p + 2q + r = 40 \quad...
For \( t = 3 \), \( F = 75 \):

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