It’s not d or e can someone please help me ........
1 answer:
Answer:
<u>D. </u>
Explanation:
<em>Remember,</em><em> in a</em> limit function<em> </em><em>any number greater than zero the limit to infinity is infinity, and for numbers lesser than zero the limit is zero.</em>
<em>P (X) = </em><em />
<em>Q (X) = </em><em />
Rearranging the equation q (x) we have q (x) =
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(1) The integral is straightforward; <em>x</em> ranges between two constants, and <em>y</em> ranges between two functions of <em>x</em> that don't intersect.
(2) First find where the two curves intersect:
<em>y</em> ² - 4 = -3<em>y</em>
<em>y</em> ² + 3<em>y</em> - 4 = 0
(<em>y</em> + 4) (<em>y</em> - 1) = 0
<em>y</em> = -4, <em>y</em> = 1 → <em>x</em> = 12, <em>x</em> = -3
That is, they intersect at the points (-3, 1) and (12, -4). Since <em>x</em> ranges between two explicit functions of <em>y</em>, you can capture the area with one integral if you integrate with respect to <em>x</em> first:
(3) No special tricks here, <em>x</em> is again bounded between two constants and <em>y</em> between two explicit functions of <em>x</em>.
