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andreyandreev [35.5K]
3 years ago
14

Find the volume of the resulting solid if the region under the curve y = 10/(x2 + 3x + 2) from x = 0 to x = 1 is rotated about t

he x-axis and the y-axis.

Mathematics
1 answer:
alexgriva [62]3 years ago
5 0

Answer:

Step-by-step explanation:

Check attachment for solution

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Write an equation of the line passing through the point A(3,−4)
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Answer:

Is there a picture
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On the graph shown, line C is the parent function f(x) = log2 (x). Which function is graphed as line D? g(x) = log2 (x) – 1 g(x)
galben [10]

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A on edge

Step-by-step explanation:

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I need help on #9. The help would be grateful appreciated.
ELEN [110]
Original Figure:
Length = 15
Width = 5
Height = 10
Volume = Length*Width*Height
Volume = 15*5*10
Volume = 750

New Figure
Length = 3
Width = 1
Height = 2
Each dimension has been divided by 5 (eg: 15/5 = 3)
Volume = Length*Width*Height
Volume = 3*1*2
Volume = 6

The old volume was 750 and it changes to 6
Notice how 750/6 = 125
Which can be rearranged to 750/125 = 6

Answer: if you divide the old volume by 125, then you get the new volume

Note: the new volume is 125 times smaller than the old volume
Put another way, the old volume is 125 times larger compared to the new volume

The fact that 125 = 5^3 is not a coincidence. If you divide each dimension by some number k, then you divide the volume by k^3

8 0
3 years ago
4. What is y = (3x – 9)(x + 2) in standard
LenKa [72]

Answer:

B)y = 3x^2 - 3x-18

Step-by-step explanation:

y = (3x – 9)(x + 2)

y = 3x*x+3x*2-9*x-9*2

y = 3x^2 +6x-9x-18

y = 3x^2 - 3x-18

8 0
3 years ago
Read 2 more answers
If there are 5 boys and 7 girls, write the ratio of girls to total students
Marizza181 [45]

Answer:

7:12

Step-by-step explanation:

boys=5

girls=7

total=boys+girls

12=5+7

girls:total

7:12

3 0
2 years ago
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