Given:
The rule of input and output function is:

To find:
The answer if we put 19.
Solution:
Consider the input and output function is:

Substitute
, we get


Therefore, the required answer is 6.
Y-y1 = m(x-x1)
y-(-1) = 6 (x- -1)
answer: y = 6x-5
Division yields

Now for partial fractions: you're looking for constants <em>a</em>, <em>b</em>, and <em>c</em> such that


which gives <em>a</em> + <em>b</em> = 2, <em>c</em> = 0, and 2<em>a</em> = -7, so that <em>a</em> = -7/2 and <em>b</em> = 11/2. Then

Now, in the integral we get

The first two terms are trivial to integrate. For the third, substitute <em>y</em> = <em>x</em> ² + 2 and d<em>y</em> = 2<em>x</em> d<em>x</em> to get

Answer:
A,CAND D
Step-by-step explanation:
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