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murzikaleks [220]
3 years ago
7

Please help me please show working answer but show work please

Mathematics
1 answer:
boyakko [2]3 years ago
8 0
Hello,

Below I attached directions and the answer :).

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Find the volume of the solid by rotating the region bounded by y=x^3, y=8, and x=0 about the y axis.
dimulka [17.4K]

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 ✓

7 0
3 years ago
A scale drawing of a rectangular prism is 10cm by 8.5 cm. If the actual field has dimension of 40m by 34m, what scale can be use
Bad White [126]
The answer will be D. Hope it help!
5 0
3 years ago
Which relations are functions? List the relation number(s) that are function(s) in the answer bank
Sergeu [11.5K]

Answer:

options 1,3,4 are functions.

Step-by-step explanation:

RULE: a relation is said to be a function if every element in the domain ( the numbers in the left side in the below sets) is related to only one number ( number on the right side in the below sets).

Let us check each option one by one:

1.   3           2

    9           1

   -4           7

    0          -2

here each number on the left side is mapped to or is related to one number only.

so this relation is a function

2.  7         1

    -5        2,3

     1         0

here, "-5" is mapped to two different numbers. so this relation is not a function.

3.  -2    -4

    2      4

    6      8

    -6    -8

here each number on the left side is mapped to or is related to one number only.

so this relation is a function

4.  1     3

   -1    3

   2    3

  -2    3

here each number on the left side is mapped to or is related to one number only.

so this relation is a function.

even if it is related to the same number, it doesn't matter.

it should follow the above given rule that's it.

6 0
3 years ago
Please help me with 13 and 15 asap
Law Incorporation [45]
Gosh, I've done this problem before. Let's start with 13. In this problem, we're basically just skip counting. For example, in the roses row, in the second bouquet, we know we have to add 4 more flowers, so we can document 8. Continue to skip count for both. For 15, we would have about 96 more movie posters remaining, making our ratio 96:x. So, 96:x = 120:100. Therefore, x would equal 80- as 96:80 equals 120:100. If she needs 80 and already had 100, she should sell 20 posters. Hope this helped.
3 0
3 years ago
How to get 14 using four fours
Len [333]

Answer:

14

Step-by-step explanation:

4 \times (4 - .4) -. 4

5 0
3 years ago
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