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stepladder [879]
3 years ago
7

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 6. (Rou

nd your answer to three decimal places.) xy = 6 y = 2 y = 6 x = 6
Mathematics
1 answer:
aleksklad [387]3 years ago
8 0

Answer:

Step-by-step explanation:

Here we have the curve xy =6 bounded by the line y=2, y=6 and x=6.

This region is rotated about x =6

We have to find the volume

Since rotated about vertical line parallel to y axis, shifting y axis to right by 6 units we get

the curve equation as

(6-x)y=6

6y-6xy =6

6xy =6(y-1)

x = (y-1)/y

and limits for y is 2 to y

Volume = \pi \int x^2 dy\\= \pi \int( \frac{y-1}{y})^2 dy\\ = \pi \int 1-2/y +1/y^2 dy\\= \pi (y-2ln y -1/y)

Substitute limits

Volume = \pi ( 4-2 ln 3 - 1/3)\\= \pi (11/3 -2ln 3)

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This venn diagram shows sports played by 10 students what is p
Rainbow [258]

P(A | B) is 2/10 = 0.2.

<h3>What is P(A | B) ?</h3>

P(A | B) means the probability that a students pays both basketball and football. It is the intersection of both circles on the venn diagram.

P(A | B) = number of students that play both games / total number of students

2/10 = 0.2

Please find attached the complete question. To learn more about venn diagrams, please check: brainly.com/question/13192210

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8 0
2 years ago
I need help plz and plz explain why plz
Mariana [72]

Answer:

156 minutes

Step-by-step explanation:

2 hrs=120 minutes

3/5 hr=3/5 *60=36 minutes

120+36=156 minutes

hope this helps

brainliest?

6 0
3 years ago
Read 2 more answers
Please help ASAP will give good points an brainliest
Nuetrik [128]
The model predicts that for each additional race a bicyclist has competed in, the finishing time decreases by .45 min

(the last choice)
6 0
4 years ago
Mrs. Smith wants to use an installment plan to buy a washing machine and dryer set priced at $1,500. The installment plan requir
kramer

Option C) Smith have to pay $180 at the time of purchase.

<u>Step-by-step explanation:</u>

Mrs. Smith wants to use an installment plan to buy a washing machine and dryer set priced at $1,500.

  • Therefore, the total cost = $1500
  • The down payment for the installment plan is 12%.

We need to find the payment amount at the time of purchase.

This can be calculated by finding the 12% of the total price $1500.

Smith have to pay at the time of purchase = 12% of 1500

⇒ (12/100) × 1500

⇒ 12 × 15

⇒ 180

Hence, option C) $180 is the amount need to be paid by the Smith at the time of purchase.

8 0
3 years ago
Sarah and Sunil are racing to see who is a faster dishwasher. Sarah cleaned 18 dishes in 10 minutes. Sunil cleaned 30 in 18 minu
Luba_88 [7]

Answer:

1.8 dishes per minute (Sarah)

1.67 dishes per minute (Sunil)

Step-by-step explanation:

We can find the rate by dividing the number of dishes by the number of minutes:

18/10 = 1.8 dishes per minute

30/18 = 1.67 dishes per minute

3 0
4 years ago
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