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Sati [7]
3 years ago
13

You have 19 digs for your current volleyball season. There are 5 games left in the season. You want to break your previous recor

d of 26 digs in a season. Write and solve an inequality that represents the number x of digs you must get in the remaining 5 games to break your record.
An inequality that represents the situation is
[blank]>26. The solution of the inequality is
[blank].
Mathematics
1 answer:
viktelen [127]3 years ago
7 0

19 + X > 26

X > 7

To break your record you need more than 7 digs

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Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graph
diamong [38]

Answer:

a) 8π

b) 8/3 π

c) 32/5 π

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Step-by-step explanation:

Given lines :  y = √x, y = 2, x = 0.

<u>a) The x-axis </u>

using the shell method

y = √x = , x = y^2

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vol = ( 2π ) \int\limits^2_0 {ph} \, dy

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<u>b) The line y = 2  ( using the shell method )</u>

p = 2 - y

h = y^2

vol = ( 2π ) \int\limits^2_0 {ph} \, dy

     = ( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy

     = ( 2π ) * [ 2/3 * y^3  - y^4 / 4 ] ²₀

∴ Vol  = 8/3 π

<u>c) The y-axis  ( using shell method )</u>

h = 2-y  = h = 2 - √x

p = x

vol = (2\pi ) \int\limits^4_0 {ph} \, dx

     = (2\pi ) \int\limits^4_0 {x(2-\sqrt{x}  ) } \, dx

     = ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀

vol = ( 2π ) ( 16/5 ) = 32/5 π

<u>d) The line x = -1    (using shell method )</u>

p = 1 + x

h = 2√x

vol = (2\pi ) \int\limits^4_0 {ph} \, dx

Hence   vol = 176/15 π

attached below is the graphical representation of P and h

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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djyliett [7]

Answer:

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Answer:

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