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gtnhenbr [62]
3 years ago
12

5. Max and Evie are comparing the number of ride tickets they have for an amusement park. They notice that Evie has 4 less than

three times the number of tickets that Max has. If the number of tickets Max has is represented by n, then which of the following represents the combined number of tickets Max and Evie have in terms of n?​

Mathematics
1 answer:
Anestetic [448]3 years ago
5 0

Answer:

4n - 4

Step-by-step explanation:

3n-4 = the amount of tickets Evie has

n = the amount of tickets Mark has

3n - 4 + n = 4n - 4

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Then the volume of the solid is obtained by integrating over [2, 4]:

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(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - <em>x</em> (this is the distance between a given <em>x</em> value in the orange shaded region to the axis of revolution) and a height of 8 - <em>x</em> ³ (and this is the distance between the line <em>y</em> = 8 and the curve <em>y</em> = <em>x</em> ³). Then each shell has a volume of

2<em>π</em> (9 - <em>x</em>)² (8 - <em>x</em> ³) = 2<em>π</em> (648 - 144<em>x</em> + 8<em>x</em> ² - 81<em>x</em> ³ + 18<em>x</em> ⁴ - <em>x</em> ⁵)

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I leave the details of integrating to you.

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