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Naddika [18.5K]
4 years ago
12

How many solutions does the graph of x2 + 100 = 0 have?

Mathematics
1 answer:
Artyom0805 [142]4 years ago
5 0

Answer:

there are two solutions

Step-by-step explanation:

x=10

x=-10

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Step-by-step explanation:

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Indefinite integral need help pleaseeeeeee
tatiyna
Integrate indefinite integral:
I=\int\frac{dx}{e^{2x}+3e^x+2}dx

Solution:
1. use substitution u=e^x 
=>
du=e^xdx
=>
dx=\frac{du}{e^x}
=>
dx=\frac{du}{u}
=>
I=\int\frac{du}{u(u^2+3u+2)}du
=\int\frac{du}{u(u+2)(u+1)}du
2. decompose into partial fractions
\frac{1}{u(u+2)(u+1)}
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where A=1/2, B=1/2, C=-1
=\frac{1}{2u}+\frac{1}{2(u+2)}-\frac{1}{u+1}
3. Substitute partial fractions and continue
I=\int\frac{du}{2u}+\int\frac{du}{2(u+2)}-\int\frac{du}{u+1}
=\frac{log(u)}{2}+\frac{log(u+2)}{2}-log(u+1)}
4. back-substitute u=e^x
=\frac{log(e^x)}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}
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Note: log(x) stands for natural log, and NOT log10(x)

7 0
3 years ago
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Answer:

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Step-by-step explanation:

Diameter of a model of earth (D) = 25.6 cm

Radius of a model of earth (r) = \frac{D}{2}=\frac{25.6}{2}=12.8\,\,cm

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Total surface area of the model =4(\frac{22}{7})(12.8)^2=2059.7\,\,cm^2

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Lelechka [254]

Answer:

c=-2

Step-by-step explanation:

Equation: -7c+2=16

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