Solution:
Since the graph passes through the given points, (7, 20) & (-2, 11) are the solutions of the given equation <em>y = x + ?</em>.
⇒<em>(x, y)</em> = (7, 20); (-2, 11)
Substituting the variables with (7, 20),
20 = 7 + <em>?</em>
20 - 7 = <em>?</em>
<em>?</em> = 13
Similarly,
11 = -2 + <em>?</em>
<em>?</em> = 13
∴ <em>y</em> = 13
In the 
direction we consider the 
subintervals [0, 1] and [1, 2] (each with length 1), while in the 
direction we consider the 
subintervals [0, 2] and [2, 4] (with length 2). Then the lower right corners of the cells in the partition of 
are (1, 0), (2, 0), (1, 2), (2, 2).
Let 
. The volume of the solid is approximately
###
More generally, the lower-right-corner Riemann sum over 
and 
subintervals would be
Then taking the limits as 
and 
leaves us with an exact volume of 
.
So if 1 person shakes the other 179 people in the meeting then you would multiply 180 times 179 which would equal 32,220 handshakes
Answer:
domain is all reall numbers
