2
3x. + 63x + 9x + 189
Step-by-step explanation:
<em>Use</em><em> </em><em>distributive</em><em> </em><em>law</em><em>,</em><em> </em><em>in</em><em> </em><em>other</em><em> </em><em>words</em><em> </em><em>multiply</em><em> </em><em>the</em><em> </em><em>first</em><em> </em><em>bracket</em><em> </em><em>terms</em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>bracket</em><em> </em><em>terms</em><em> </em>
The domain is the set of allowed x inputs, or x coordinates of a function. In this case, any point on the curve has an x coordinate that is 4 or smaller.
Therefore, the domain is the set of numbers x such that
To write this in interval notation, we would write
This interval starts at negative infinity and stops at 4. We exclude infinity with the curved parenthesis and include 4 with the square bracket.
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The range is the set of possible y outputs. Every point on this curve has a y coordinate that is either 0 or it is larger than 0.
The range is the set of y values such that 
In interval notation, it would be written as
This time we start at 0 (including this endpoint) and "stop" at infinity
note: we always use curved parenthesis at positive or negative infinity because we cannot reach either infinity
Answer:
Decreases
Step-by-step explanation:
We need to determine the integral of the DE;



We can solve this by integration by parts on the left side. We expand the fraction 1/P²:

let





Substitute u in:

Therefore the equation is:

We simplify:


As t increases to infinity P will decrease