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garik1379 [7]
3 years ago
15

Please HELP Me!4. Solve. z =

Mathematics
1 answer:
docker41 [41]3 years ago
4 0
\dfrac{7z-1}{2}=3z-2|\cdot2\\
7z-1=6z-4\\
7z-6z=-4+1\\
z=-3
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HELP MEEE PLEASEEEEE!!!!! I NEED HELPPP!!
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Answer:

(2,2)

Step-by-step explanation:

Lets check:

(2,2)

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3 years ago
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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Y = (4/9) x
frez [133]

Answer:

V = 8.06 cubed units

Step-by-step explanation:

You have the following curves:

y_1=\frac{4}{9}x^2=f(x)\\\\y_2=\frac{13}{9}-x^2=g(x)

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V=\pi \int_a^b [(g(x))^2-(f(x))^2]dx       (1)

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f(x)=g(x)\\\\\frac{4}{9}x^2=\frac{13}{9}-x^2\\\\\frac{4}{9}x^2+x^2=\frac{13}{9}\\\\\frac{13}{9}x^2=\frac{13}{9}\\\\x=\pm 1

Then, the limits are a = -1 and b = 1

You replace f(x), g(x), a and b in the equation (1):

V=\pi \int_{-1}^{1}[(\frac{13}{9}-x^2)^2-(\frac{4}{9}x^2)^2]dx\\\\V=\pi \int_{-1}^1[\frac{169}{81}-\frac{26}{9}x^2+x^4-\frac{16}{81}x^4]dx\\\\V=\pi \int_{-1}^1 [\frac{169}{81}-\frac{26}{9}x^2+\frac{65}{81}x^4]dx\\\\V=\pi [\frac{169}{81}x-\frac{26}{27}x^3+\frac{65}{405}x^5]_{-1}^1\\\\V\approx8.06\ cubed\ units

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Step-by-step explanation:

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Angle a and b is 180-22 =158

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