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]
3 years ago
10

99 POINT QUESTION, PLUS BRAINLIEST!!!

Mathematics
1 answer:
Basile [38]3 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
If you roll one die and flip one coin, what is the probability of rolling a 2 and flipping a head? Why?
Nezavi [6.7K]

Answer:

Probability of rolling a 2 and flipping a head will be \frac{1}{12}    

Step-by-step explanation:

If we roll one die then probability to get any one side is \frac{1}{6}

Therefore, probability to get 2 by rolling the die will be P(A) = \frac{1}{6}

Now we flip a coin then getting head or tale probability is \frac{1}{2}

Or probability to get head by flipping the coin P(B) = \frac{1}{2}

Probability of happening both the events (rolling a 2 and flipping a head) will be denoted by

P(A∩B) = P(A)×P(B)

           = \frac{1}{6}\times \frac{1}{2}

           = \frac{1}{12}

Therefore, probability of rolling a 2 and flipping a head will be \frac{1}{12}        

3 0
3 years ago
Read 2 more answers
Miss dessine and miss Lombardi bought a total of a 123 pumpkins together miss Lombardi bought 79 pumpkin's how many pumpkins tha
Juli2301 [7.4K]
The answer is 44
you subtract 123 minus 79 to get your answer!
7 0
3 years ago
Please put it in expanded form and solve it
Reptile [31]

Answer:

1/xyz^3

Step-by-step explanation:

exponents are subtracted when divided

x^0 is 1

negative exponents are positive in the denominator

(4x^0y^-2z^-3) / (4xy-1)

(4xy^-2z^-3) / (4xy^-1)

x-1y^-1z^-3

1/xyz^3

8 0
1 year ago
3x-1/5=x+1/3 solve for x
Maru [420]

Answer:

x = 2

Step-by-step explanation:

First, you cross multiply then that will give you

9x - 3 = 5x + 5

collect like terms

9x - 5x = +5 + 3

= 4x = 8

Divide both sides by the coefficient of x that's 4

= 2

6 0
3 years ago
Which equation is true given w=7
DENIUS [597]
Where is the equation?
6 0
3 years ago
Other questions:
  • Which is larger 946mm or 1 m
    9·2 answers
  • Can someone plz help me
    9·1 answer
  • What is 19/20 ÷ 3/5 =​
    8·1 answer
  • 20) FISH The elevation of a fish is -27 feet. a. The fish decreases its elevation by 32 feet, and then increases its elevation b
    12·1 answer
  • An industrial psychologist conducted an experiment in which 40 employees that were identified as "chronically tardy" by their ma
    15·1 answer
  • De los 30 balones de un colegio, dos quintos son de fútbol, un tercio de baloncesto y el resto de voleibol. ¿Cuántos balones de
    9·1 answer
  • \cos (x-10\deg )=(\sqrt(3))/(2)
    13·1 answer
  • 14. Taxi company A charges $2 per ride plus $0.25 per mile. Taxi company B charges $3 per ride plus $0.15 per mile. Which equati
    11·1 answer
  • An athlete has 75% of winning the race if he is not injured. If he is injured, his probability of winning the race is only 15%.
    10·1 answer
  • What is (r/s)(3)=? xxxx
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!