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anzhelika [568]
3 years ago
11

Find the volume of the solid by rotating the region bounded by y=x^3, y=8, and x=0 about the y axis.

Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

Answer:

Solution : Volume = 96/5π

Step-by-step explanation:

If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:

A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)

And now since the solid lies between y = 0, and y = 8, it's volume should be:

V =  ∫⁸₀  A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])

=> π ∫⁸₀ y^(2/3)dy

=> π[3/5 * y^(5/3)]⁸₀

=> 3/5π(³√8)⁵

=> 3/5π2^5

=> 96/5π ✓

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A courier service advertises that its average delivery time is less than six hours for local deliveries. A random sample of size
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Answer, Step-by-step explanation:

According to the exercise, we evaluate the delivery time of a courier company and we will hypothesize the best case with a sample size of 10, which is:

Small sample T test for single mean

The hypothesis that we will develop will be the following:

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3 0
3 years ago
Write the value of the numerator 374 as the product of prime factors
ycow [4]
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8 0
3 years ago
What is the value of x in the equation 1/5x – 2/3y = 30, when y = 15?
lianna [129]

Answer:

x = 200

Step-by-step explanation:

1/5x – 2/3y = 30

substitute in y

1/5x - 2/3(15) = 30

multiply

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isolate the variable

1/5x = 40

multiply each side by 5

x = 200

4 0
3 years ago
Read 2 more answers
(2) Molly wants to buy a skirt. The original price was $29.
Sauron [17]

Answer:

$15.225

Step-by-step explanation:

$29 - 30% = $20.30

$20.30 - 25% = $15.225

6 0
2 years ago
Read 2 more answers
Can someone help me with these two
LenaWriter [7]

Answer:

The first equation answer is 10

And the second one 6

Step-by-step explanation:

The first equation

2/5 x +3= 2/3x +1/3

2x + 15/5 = 6x+3/9 the cress cross

9(2x + 15) = 5(6x + 3)

18x + 135 = 30x +15

135-15 = 30x - 18x

120 = 12x

120/12 =12x/12

10 = x

X =10

The second one

-2.6b +4 =0.9b - 17

-2.6b - 0.9b = - 17 - 4

-2.6b + (-0.9b) = - 17 + (-4)

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-3.5b/-3.5 = - 21 /-3.5

B= 6

4 0
3 years ago
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