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3 years ago

6

On the blueprint for Joey's new house,his floor measures 9 square feet.The actual house will have an area of 1296 square feet.Wh

at scale factor must be applied to create the house from the blueprint

1 answer:

bonufazy [111]3 years ago

6 0

Answer:

1:144 ft²

Step-by-step explanation:

9 : 1296

1 : x

9x = 1296

x = 1296/9

x = 144

Scale factor = 1:144

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Indefinite integral need help pleaseeeeeee

tatiyna

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Solution:
1. use substitution $u=e^x$
=>
$du=e^xdx$
=>
$dx=\frac{du}{e^x}$
=>
$dx=\frac{du}{u}$
=>
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2. decompose into partial fractions
$\frac{1}{u(u+2)(u+1)}$
$=\frac{A}{u}+\frac{B}{u+2}+\frac{C}{u+1}$
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)

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Inessa05 [86]

Answer:

C; A singleton set

Step-by-step explanation:

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