Module 3 DBA: What key features can be identified from graphs of polynomials of higher-

Mathematics

1 answer:

Anna71 [15]2 years ago

7 0

Ratio

L Guess you bozo

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Identify the pair of supplementary angles.

777dan777 [17]

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We know that, the sum of measures of supplementary angles is 180°

So, the Correct choice is :

65° and 115°

because, 65° + 115° = 180°

7 0

2 years ago

Kim saved $25 in 9 weeks. At that rate, how long will it take Kim to save $175?

Simora [160]

Answer:

it would take 63 weeks to save that much money

Step-by-step explanation:

divide 25 by 9 and get 2.7 then multiply 2.7 by 63 to get 175

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3 years ago

Use the laplace transform to solve the given initial-value problem. y' 5y = e4t, y(0) = 2

Basile [38]

The Laplace transform of the given initial-value problem

$y' 5y = e^{4t}, y(0) = 2$ is mathematically given as

$y(t)=\frac{1}{9} e^{4 t}+\frac{17}{9} e^{-5 t}$

<h3>What is the Laplace transform of the given initial-value problem? y' 5y = e4t, y(0) = 2?</h3>

Generally, the equation for the problem is mathematically given as

$&\text { Sol:- } \quad y^{\prime}+s y=e^{4 t}, y(0)=2 \\\\&\text { Taking Laplace transform of (1) } \\\\&\quad L\left[y^{\prime}+5 y\right]=\left[\left[e^{4 t}\right]\right. \\\\&\Rightarrow \quad L\left[y^{\prime}\right]+5 L[y]=\frac{1}{s-4} \\\\&\Rightarrow \quad s y(s)-y(0)+5 y(s)=\frac{1}{s-4} \\\\&\Rightarrow \quad(s+5) y(s)=\frac{1}{s-4}+2 \\\\&\Rightarrow \quad y(s)=\frac{1}{s+5}\left[\frac{1}{s-4}+2\right]=\frac{2 s-7}{(s+5)(s-4)}\end{aligned}$