Please answer ASAP. The question is down below
1 answer:
Answer: 1) D 2) B
<u>Step-by-step explanation:</u>
1) The denominator cannot equal zero, Factor the denominator to find the zeros. n³ - 4n² + 3n = 0
n(n - 3)(n - 1) = 0
n=0 n-3=0 n-1=0
n=0 n=3 n=1
2) In order to be a rational expression, it must be in the form where both a and b are integers.
Since is irrational and not an integer, then the expressions containing an irrational term <em>after simplified</em> cannot result in an integer.
Therefore, options <em>(i)</em> and <em>(iv)</em> are not rational expressions.
Option <em>(iii)</em> contains b as an exponent. Since there is no information about b, it could be a fraction, which means it could be an irrational number.
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Answer:
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).
The formula we will use for this problem is the following:
where:
a=0
so the volume becomes:
This can be simplified to:
and the integral can be rewritten like this:
which is a standard integral so we solve it to:
so we get:
which yields:
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