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Zinaida [17]
3 years ago
10

Can someone help me solve this?

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

Try B

Step-by-step explanation:

That's what I would choose. Sorry if it's wrong.

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Primitive function for:<br><br> 1. f(x)=4e2x+e−x, sådan att F(0)=2
Free_Kalibri [48]

The primitive function for f(x) = 4e^{2x} + e^{-x} is given by it's indefinite integral.

To calculate it, recall:

\frac{d}{dx}e^{ax}=ae^{ax}

\int c f(x)dx = c\int f(x)dx

Let's begin

\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1}  + c\\

F(x) = 2e^{2x}-e^{-x} +c

To find the costant, we just need to use the fact that F(0)=2

F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3

Therefore,

\boxed{F(x) = 2e^{2x} - e^{-x} -3 }

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3 years ago
Gauge ran 12 miles in 20 minutes. What is Gaugue's hourly rate?
nikitadnepr [17]
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6 0
3 years ago
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On Monday, it snowed 30 inches in 16 hours. On Thursday, it snowed 21 inches in 6 hours. On which day did it snow at a greater r
nevsk [136]

Answer: Thursday

Step-by-step explanation:

I think this answer is correct because, On Monday it says it snowed 30 inches for 16 hours, so we divide 30 by  16 and we get 1.875. But for Thursday it snowed 21 for 6 hours, so we divide 21 by 6 and that equals 3.5. So on Monday it snowed 1.875 snow per hour and Thursday it snowed 3.5 snow per hour. So the answer is Thursay!

Hope This Helps!

5 0
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Someone help me ASAP!!!! I need this ASAP!!!!
qwelly [4]
So to solve it the equation is a squared plus b squared = c squared. So you square a and b. Then do the square root of that and should get c. C is always the largest side. C is opposite from a 90 degree angle . Hope this helps you answer your question.
5 0
3 years ago
kamari opens a bank account with 250 five weeks her account balances 800 what was the average rate of change of her account bala
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The answer is an average rate of change of 110 more dollars in her account per week. You find this by first subtracting the starting amount of 250 from the end amount of 800 that equals 550. then you divide that number by five, the number of weeks, to get the average rate of change.
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