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
Lina20 [59]
2 years ago
10

99 POINT QUESTION, PLUS BRAINLIEST!!!

Mathematics
1 answer:
Basile [38]2 years ago
3 0
1.Disc method.
In this method the volume is given by:

\boxed{V=\pi\int\limits_a^b\big[f(x)\big]^2}

so:

V=\pi\int\limits_1^3x^4\,dx=\boxed{\pi\int\limits_1^3\big[x^2\big]^2\,dx}

A) Function f(x)=x^2 over the interval [1,3]
B) We use disk method and f(x) is function of variable x, so we <span>rotate the curve about the x-<span>axis.


2. Shell method.

In this case volume is given by:

</span></span>\boxed{V=2\pi\int\limits_a^bx\cdot f(x)\,dx}

So there will be:

V=\pi\int\limits_1^3x^4\,dx=\dfrac{2}{2}\cdot\pi\int\limits_1^3x^4\,dx=2\pi\int\limits_1^3\dfrac{x^4}{2}\,dx=&#10;\boxed{2\pi\int\limits_1^3x\cdot\dfrac{x^3}{2}\,dx}

A) Function f(x)=\dfrac{x^3}{2} over the interval [1,3]
B) We use shell method and f(x) is function of variable x, so we <span>rotate the curve about the y-<span>axis.</span></span>
You might be interested in
What is the term that contains the same variables raised to the same powers
stepan [7]
Answer: I think the term is “Like Terms”

6 0
2 years ago
Question 2 of 10
iVinArrow [24]

Answer:

option C is correct

x^4 - x^2 - 2.5

8 0
3 years ago
Examine the system of equations.
stiks02 [169]

By substitution,

1.5x - 6 = -4.5x + 21

6x = 27

x = 4.5

Hence, y = 1.5(4.5) - 6 = 0.75

8 0
3 years ago
Read 2 more answers
Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.
allochka39001 [22]

Answer:

The answer to each question is:

  • A.) 403.2 cm^{2}
  • B.) 100. 8 cm^{2}

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

  • Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

  • Apothem = Edge * \frac{2+\sqrt{3}}{2}

If we replace the value of the edge, we obtain:

  • Apothem = 6 cm * \frac{2+\sqrt{3}}{2}
  • Apothem = 11.2 cm (approximately).

With this data, we can find the area:

  • Area of a dodecagon = 6 * apothem * edge
  • Area of a dodecagon = 6 * 11.2 cm * 6 cm
  • Area of a dodecagon = 403.2 cm^{2}

Then,<u> the area of the dodecagon is 403.2 </u>cm^{2}<u> approximately</u>.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

  • 12 pieces = 403.2 cm^{2}
  • 3 pieces = X

Then:

  • X = (3 * 403.2 cm^{2}) / 12
  • X = 1209.6 cm^{2} / 12
  • X = 100. 8 cm^{2}

In this form, <u>when the cookie has 3 pieces, its area is 100. 8 </u>cm^{2}<u> approximately</u>.

5 0
3 years ago
What is 4+(x+1) when u substitute 3 where you see x
Anna71 [15]

Answer:

8

Step-by-step explanation:

4 + (x + 1)

4 + 4

8

Hope this helps!

brainliest?

6 0
2 years ago
Other questions:
  • What has the same value as 3/4
    15·2 answers
  • Marietta was given a raise of $0.75 per hour, which gave her a new wage of $12.25 per hour. Write and solve an equation to deter
    15·2 answers
  • Julio bought 3/5 pound of potato salad for dinner.Wilma bought 5/4 the amount of potato salad that Julio did.How much potato sal
    15·1 answer
  • What is the surface area, old helllp ​
    8·1 answer
  • I need help please help
    9·2 answers
  • 5x + 7x + 2x + 8 -2 please helppp
    13·2 answers
  • Find the shaded area
    12·1 answer
  • What breaks yet never falls, and what falls yet never breaks?
    14·2 answers
  • If you can help please do! Thank you!
    9·1 answer
  • Pls answer correctly
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!