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rusak2 [61]
3 years ago
10

Which statement is true about the function graphed here

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0

Answer:

The y-intercept is (0,-6), the vertex is (4,2)

Step-by-step explanation:

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I believe the answer is d.
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Let S denote the plane region bounded by the following curves:
oee [108]

The volume of the solid of revolution is approximately 37439.394 cubic units.

<h3>How to find the solid of revolution enclosed by two functions</h3>

Let be f(x) = e^{\frac{x}{6} } and g(x) = e^{\frac{35}{6} }, whose points of intersection are (x_{1},y_{1}) =(0,1), (x_{2}, y_{2}) = (35, e^{35/6}), respectively. The formula for the solid of revolution generated about the y-axis is:

V = \pi \int\limits^{e^{35/6}}_{1} {f(y)} \, dy (1)

Now we proceed to solve the integral: f(y) = 6\cdot \ln y

V = \pi \int\limits^{e^{35/6}}_{1} {6\cdot \ln y} \, dy (2)

V = 6\pi \int\limits^{e^{35/6}}_{1} {\ln y} \, dy

V = 6\pi \left[(y-1)\cdot \ln y\right]\right|_{1}^{e^{35/6}}

V = 6\pi \cdot \left[(e^{35/6}-1)\cdot \left(\frac{35}{6} \right)-(1-1)\cdot 0\right]

V = 35\pi\cdot (e^{35/6}-1)

V \approx 37439.392

The volume of the solid of revolution is approximately 37439.394 cubic units. \blacksquare

To learn more on solids of revolution, we kindly invite to check this verified question: brainly.com/question/338504

8 0
2 years ago
7 + (2 + 6) 2 ÷ 4 ⋅ (1/2)^4<br><br> A: 23<br> B: 18<br> C: 9<br> D: 8
Drupady [299]

Answer:

D: 8

Step-by-step explanation:

7 + (2 + 6) ^2 ÷ 4 ⋅ (1/2)^4

According to PEMDAS

We to parentheses first

7 + (8)^ 2 ÷ 4 ⋅ (1/2)^4

Then we do exponents

7 + 64 ÷ 4 ⋅ (1/16)

The multiply and divide from left to right

7+64 ÷ 4 ⋅ (1/16)

7+16 ⋅ (1/16)

Then add and subtract from left to right

7+1

8

6 0
3 years ago
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Alekssandra [29.7K]

Answer:

C

Step-by-step explanation:

3*3^2+8/2-(4+3)=27+4-7=24

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In which step to the student first make an error and what is the correct step
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Step-by-step explanation:

hope this helps

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