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dlinn [17]
3 years ago
10

Please Help!!

Mathematics
1 answer:
meriva3 years ago
6 0
Apperently someone deleted my question i was trying to see if you had understood what i was trying to help you on

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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 }

6 0
3 years ago
In downtown Charlotte, building inspectors must regulate the height of buildings. From the top of the BB&amp;T building which is
Morgarella [4.7K]

Answer:

296.89 m

Step-by-step explanation:

assuming that both the buildings are on level ground (i.e their bases are at the same elevation), see attached.

5 0
3 years ago
A circle has an area of 78.5 square inches what is the radius of the circle
Alinara [238K]

Answer:

Step-by-step explanation:

Area of circle = 78.5 in²

πr² = 78.5

3.14*r² = 78.5

r^{2}=\frac{78.5}{3.14}\\\\=\frac{78.5*100}{3.14*100}\\\\=\frac{7850}{314}\\\\r^{2}=25\\r=\sqrt{25}=\sqrt{5*5}\\\\

r =  5 in

3 0
3 years ago
Read 2 more answers
34x−5=4 x = <br> im confused
IRINA_888 [86]

Answer:

9/34

Step-by-step explanation:

Let us move all the numerical values to one side:

34x= 4+5

34x = 9

x=9/34

<em>I hope this helps! :)</em>

8 0
3 years ago
A solid silver spoon has a mass of 65.1g.
Keith_Richards [23]

Answer:

D=M/V

D=65.1/6.2

Density is 10.5 grams per centimetre cube

Step-by-step explanation:

3 0
3 years ago
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