1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
djverab [1.8K]
3 years ago
6

Ask Your Teacher Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified

line. y = 5 + sec(x), −π 3 ≤ x ≤ π 3 , y = 7; about y = 5

Mathematics
1 answer:
Igoryamba3 years ago
5 0

Answer:

V=15.44

Step-by-step explanation:

We have a formula

V=\int^{π/3}_{-π/3} A(x) dx ,

where A(x) calculate as  cross sectional.

We have:

Inner radius: 5 + sec(x) - 5= sec(x)  

Outer radius: 7 - 5=2, we get

A(x)=π 2²- π· sec²(x)

A(x)=π(4-sec²(x))

Therefore, we calculate the volume V, and we get

V=\int^{π/3}_{-π/3} A(x) dx

V=\int^{π/3}_{-π/3} π(4-sec²(x)) dx

V=[ π(4x-tan(x)]^{π/3}_{-π/3}

V=π·(8π/3-2√3)

V=15.44

We use a site geogebra.org to plot the graph.

You might be interested in
PLZ HELP I WILL MARK BRAINLIEST
Alekssandra [29.7K]

Answer:

Image wont load can you explain the problem to me through comments pls?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I need help please! I will mark you as a brainlest and give out 30 points!
klio [65]
Answer:
1entire group
2part
3particular condition
4random and large enough
5range of the middle half
6
7
8
9 average
10middle of a sorted list
11which appears more often
12 the lowest and highest
13mirrors
14
15

Step-by-step explanation:
Im not sure about the rest
3 0
2 years ago
(2,7) (-1-8) write the equations in slope intercept form
AveGali [126]

Answer:

y-mx+b

(2,7) (-1, -8)

y=5x-3

8 0
3 years ago
Which equation represents the transformed function below?
kupik [55]
The parent, solid line function is y = log(x), and the dashed line function has been translated five units upwards. That means that the answer must be y = log(x) + 5
4 0
3 years ago
Read 2 more answers
2a - 4b +3ab -5a +2b
DaniilM [7]

Answer:

-3a-2b+3ab

Step-by-step explanation:

2a-5a

-4b+2b

6 0
3 years ago
Read 2 more answers
Other questions:
  • A ramp has a rise of 10 feet and run of 50 feet find the slope
    9·2 answers
  • Complete the graph based on the table
    6·1 answer
  • if 1 and a half inch represents 50 miles, how many inches are needed to represent 225 miles ? show all of your work
    5·2 answers
  • Find a geometric power series for the function, centered at 0, by the following methods. f(x) = 7/8 + x by the technique shown i
    8·1 answer
  • How do you round 10703.36 to hundreds?
    13·1 answer
  • What is the product? CORRECT ANSWER'S ONLY
    7·1 answer
  • Solve the equation square root of x plus three plus four equals five for the variable. Show each step of your solution process
    7·2 answers
  • Can you guys please help me with these problems?
    8·1 answer
  • 5x + 10 = 15<br> 1. 3<br> 2. 1<br> 3. 5 <br> 4. 25
    10·1 answer
  • Simplify the expression<br> giving brainliest :)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!