3 years ago

PLEASE HURRY IM BEING TIMED LOOK AT THE PICTURE

Mathematics

1 answer:

Andru [333]3 years ago

3 0

Answer:

it is an enlargement with a scale factor greater than one.

Step-by-step explanation:

you can tell this, because the pre-image is smaller than the image, and its more than double the size :)

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Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =

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Answer: The required solution is $y=50e^{0.1386t}.$

Step-by-step explanation:

We are given to solve the following differential equation :

$\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

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From equation (i), we have

$\dfrac{dy}{y}=kdt.$

Integrating both sides, we get

$\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]$

Also, the conditions are

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Thus, the required solution is $y=50e^{0.1386t}.$

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