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MAXImum [283]
2 years ago
13

What times itself equals 17

Mathematics
2 answers:
Yanka [14]2 years ago
4 0

Answer: 4.12

Step-by-step explanation: 4.12 x 4.12=17

Leto [7]2 years ago
4 0

Answer:

4.123

Step-by-step explanation:

Have a great day

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Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab
Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx

If f(x)=x^2, then

f'(x)=2x

and

b=0\\ \\a=2

Therefore,

SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx

Apply substitution

x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du

Then

SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du

Now

\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))

Hence,

SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}

3 0
2 years ago
Eliott is 63 inches tall, which is 9 inches taller than his cousin,Jackson. Write and solve an addition equation to find Jackson
olasank [31]
To find Jackson's height, you subtract 9 from 63 which gives you 54. 63-9=54
8 0
3 years ago
Please explain how to find the answer for this
FromTheMoon [43]
P(A \textrm{ and } B) = P(A) P(B|A)

P(A \textrm{ and } B) = \dfrac{3}{10} \cdot \dfrac{2}{5} = \dfrac{3}{25}

Second to last choice.


5 0
3 years ago
Find the values of X,y and z
stellarik [79]
I got letter A when I tried it
3 0
3 years ago
Read 2 more answers
CAn y’all PLEASEEEEE help me?
Nimfa-mama [501]

Answer:

option A is correct answer......

6 0
2 years ago
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