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2 years ago

The sum of two numbers is 15. One number is three less than the other. Find the numbers.

Mathematics

1 answer:

Llana [10]2 years ago

7 0

let the numbers x and y

sum of two numbers is x + y = 15 eq 1

given { one number is 3 less than so : y = x-3}

put in equation

x + x -3 = 15

2x - 3 = 15

2x = 18

x = 9

y = ( x-3 ) = ( 9 -3) = 6

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Answer:

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Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

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so the volume becomes:

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$V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy$

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$V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy$

which is a standard integral so we solve it to:

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$V=9\pi[tan \frac{\pi}{3} - tan 0]$

which yields:

$V=9\pi\sqrt{3}$ ]

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