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Rzqust [24]
3 years ago
15

Please need help fast thank you. The problem is in the picture.

Mathematics
2 answers:
DochEvi [55]3 years ago
7 0
2,3,6,7 hope this helps
egoroff_w [7]3 years ago
4 0

Answer:

Angles 2, 3, 6, 7

Step-by-step explanation:

Since supplementary means to add up to 180 degrees, or a straight angle, we just find which angles are connected with a straight line.

These angles would be Angle 2 and Angle 3.

Since we have a whole figure, we also need to find the corresponding angles for Angle 2 and Angle 3. (Corresponding angles are the same degree as the original angle.)

The Corresponding angles to Angle 2 and Angle 3 are Angle 6 and Angle 7 respectively.

Thus, our answer is Angles 2, 3, 6, and 7.

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Volumes of the solids with disk or shell method?
lina2011 [118]

The answer to the questions of volumes are given as follows

a) v=128 \pi

b) v=\frac{128}{3} \pi

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d)V=\frac{13568}{15} \pi

Generally, the questions are  mathematically solved below

y=\sqrt{x}, y=4, x=0

a) x-axis

if $y=4, x=16, x=0$

Using disk method

} v=\pi \int_{0}^{16}(\sqrt{x})^{2} d x \\

v=\pi\left(\frac{x^{2}}{2}\right)_{0}^{16} \\

v=\frac{\pi}{2} \times 16 \times 16 \\

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b)  line y=4

if x=0, y=0 ;

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Using shell method

v = \int_{0}^{4} 2 \pi(4-y) \cdot y^{2} d y \\

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v=2 \pi\left[\frac{4 y^{3}}{3}-\frac{y^{4}}{4}\right]_{0}^{4} \\

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d) line x=-1

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Using shell method

volume is

V=\int_{0}^{16} 2 \pi(1+x) \sqrt{x} d x$

V=2 \pi\int_{0}^{16}(x^{1 / 2}+x^{3 / 2}\right) )d x\right. \\

V=2 \pi\left[\frac{x^{3 / 2}}{3 / 2}+\frac{x^{5 / 2}}{5 / 2}\right]_{0}^{16} \\

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V=4 \pi / 3 \cdot 4^{3}+4 \pi / 5 \cdot 4^{5} \\

V=4 \pi\left(\frac{1}{3}+\frac{4^{2}}{5}\right)

V=\frac{256}{15}(5+48) \pi \\

V=\frac{256 \times 53}{15} \pi \\

V=\frac{13568}{15} \pi

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2 years ago
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