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
blagie [28]
3 years ago
15

Help. Calculus question.

Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer:

64π/5 cubic units.

Step-by-step explanation:

The line x = 2 and y = x^3 intersect at the point (2 , 2^3) = (2, 8).

The required volume = volume of the cylinder with height 8 and radius 2 - the volume of shape form between the curve and the y axis when revolved about the y-axis.

Using the disk method for volumes of revolution:

Note that x = y^1/3 so:

the second volume =   Integral  π ((y^1/3)^2) dy  between y = 0 and y = 8.

=  3/5 y^5/3 * π between 0 and 8

= 96π/5.

The required volume = π 2^2 *8 - 96π/5

= 32π - 96π/5

= 64π/5.

You might be interested in
Find the volume of the prism.<br><br><br><br> The volume is <br> cubic meters.
Lana71 [14]

Answer:

12.5m³

Step-by-step explanation:

V = w × h × l = 1.43 × 3.13 × 2.8 = 12.5m³

Have a good day

6 0
3 years ago
A rectangle has an area of 221 square units. The width of the rectangle is 13 units. The length of the rectangle is 3x + 2. What
vodka [1.7K]
The length is 17 and x=5


13 times 3x+2 = 221 so solve by dividing 221 by 13= 17.
Now we know that 3x+2= 17 so 3x= 15
x=5 

8 0
3 years ago
two numbered 1 to 6 dice are thrown together and their scores are added. the probability that the sum will be 4 is?​
natulia [17]

Answer:

Pr = \frac{3}{36}

Step-by-step explanation:

Given

2 number die

Required

P(Sum = 4)

The sample space of 2 die is:

S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6), (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

n(S)= 36

The pairs that adds up to 4 are:

Sum(4) = \{(1,3), (2,2),(3,1)\}

n(Sum)  =3

So, the probability is:

Pr = \frac{n(Sum)}{n(S)}

Pr = \frac{3}{36}

5 0
3 years ago
A six-week fitness program was designed to decrease the time it takes retired individuals to walk one mile. At the beginning of
valkas [14]

Answer:

c. The sampling distribution of the sample means can be assumed to be approximately normal because the distribution of the sample data is not skewed

Step-by-step explanation:

From the given data, we have;

The category of the sample = Retired individuals

The number of participants in the sample = 20

The duration of program = six-weeks

The improvement seen by most participants = Little to no improvement

The improvement seen by few participants = Drastic improvement

Therefore, given that the participants are randomly selected and the majority of the participants make the same observation of improvement in the time to walk a mile, we have that, the majority of the outcomes show little difference in walk times after the program, therefore, the distribution of the sample data is not skewed and can be assumed to be approximately normal

7 0
3 years ago
Lena drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Lena drove h
tekilochka [14]
I believe the answer is 88
7 0
3 years ago
Other questions:
  • What is −58÷910 ?<br><br> −2536<br><br> −916<br><br> −3580<br><br> −136
    15·2 answers
  • Tom won $30,000 in the lottery. He put all of it in an
    11·1 answer
  • Initially a pool contains 250 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 5.4 gall
    10·2 answers
  • Mrs.Long wants to rent a bounce house for her owens birthday. Inflate a rentals charges a 145 fee plus 35 per hour. If Mrs. Long
    14·1 answer
  • A ramp 31ft long raises to a platform. the bottom of the platform is 16ft from the foot of the ramp. find x, the angle of elevat
    10·1 answer
  • Need asap<br><br> Find the midpoint of (3, −7) and (−2, 12).
    6·1 answer
  • A box contains seven green marbles, six blue marbles and eight orange marbles. Without looking, you choose two marbles out of th
    11·1 answer
  • What are the coordinates of the point on the directed line segment from (-5, -1) to
    13·2 answers
  • Please help i will give brainly!
    11·1 answer
  • An arc length is a fractional part of the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!