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Svetllana [295]
3 years ago
11

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves

about the x-axis. y = x3/2, y = 8, x = 0
Mathematics
1 answer:
Igoryamba3 years ago
6 0
Solve for the value of x such that f(x)=8
imma assume it is y=x^(3/2)
so
solve 8=x^(3/2)
x=4
so integrate from x=0 to x=4
\pi  \int\limits^4_0 {(x^ \frac{3}{2})^2 } \, dx is the area
\pi  \int\limits^4_0 {x^3 } \, dx=
\pi [ \frac{1}{4}x^4 ]^4_0=
\pi (4^3)=
64π cubic units
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2) Find the angle measures of a triangle if the first angle is thirty-one degrees more than
Charra [1.4K]

Answer:

4x+88=180

First angle is 54°

Second angle is 23°

Third angle is 103°

Step-by-step explanation:

Let x be the second angle. First angle is 31+x. Third angle is 2*(31+x)-5 = 62+2x-5 = 2x+57

All angles in a triangle add upto 180°

31+x+x+2x+57 = 180

4x+88=180

Subtract 88 from both sides,

4x = 92

Divide by 4,

x = 23°

31+x = 54°

2x+57 = 2*23 + 57 = 46+57 = 103°

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3 years ago
Mears Taxi charges a $ 3.95 flat rate for a ride in the cab. In addition to that, they charge $ 0.75 per mile. Katie has no more
Ghella [55]

Answer:

About 16 miles

The equation:

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At 16 miles Katie will have spent $15.95.

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3 years ago
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The median of the data 20, 30, 40, 10, 15, 25, 35
lapo4ka [179]

Answer:

25

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20, 30, 40, 10, 15, 25, 35

Put the data in order from smallest to largest

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There are 7 pieces of data so the 4th piece is in the middle

10,15,20,     25,   30,35, 40

25 is in the middle so it is the median

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3 years ago
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