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Vanyuwa [196]
3 years ago
10

1

Mathematics
1 answer:
Bumek [7]3 years ago
3 0

Answer:

Re-Write The Question

Step-by-step explanation:

(Unexplainable)

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Solve the differential equation.<br> question is pictured with answer choices
Nimfa-mama [501]

Integrate both sides with respect to <em>t</em> :

∫ d<em>y</em>/d<em>t</em> d<em>t</em> = ∫ -12<em>t</em> ² d<em>t</em>

<em>y(t)</em> = -4<em>t</em> ³ + <em>C</em>

Use the initial condition to solve for <em>C</em> :

5 = -4•0³+ <em>C</em>

<em>C</em> = 5

So

<em>y(t)</em> = -4<em>t</em> ³ + 5

and the answer is D.

Alternatively, you can directly apply the fundamental theorem of calculus:

\dfrac{\mathrm dy}{\mathrm dt}=-12t^2\implies y(t)=y(0)+\displaystyle\int_0^t -12u^2\,\mathrm du

\implies y(t)=5-4u^3\bigg|_0^t

\implies y(t)=5-4t^3

4 0
3 years ago
Two figures are shown. EFJL is dialation of ABIK AB has a length of 12 and EF has a length of 3
Dimas [21]

The scale factor of dilation from AB to EF is 0.25

<h3>How to determine the scale factor of dilation?</h3>

The given parameters are:

  • EFJL is dilation of ABIK
  • AB has a length of 12
  • EF has a length of 3

From the above parameters, side lengths AB and EF are corresponding sides

This means that:

The scale factor of dilation (k) is

k = AB/EF

So, we have

k = 3/12

Evaluate

k = 0.25

Hence, the scale factor of dilation from AB to EF is 0.25

Read more about scale factors at:

brainly.com/question/15891755

#SPJ1

4 0
1 year ago
What is the gcf of 24 30 42
olga55 [171]

GCF(24, 30, 42) = 6 I think it is.

 

6 0
2 years ago
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Solve the equation:<br><br> 3t²-3t+1=0
podryga [215]

Answer:

There are no solutions

Step-by-step explanation:

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2 years ago
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2d + 7 = 9<br><br>please help me!<br><br><br><br> ​
jasenka [17]

Answer:

d=1

Step-by-step explanation:

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3 years ago
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