Factor completely. 7 + 14x + 7x^2 = *khan academy*
2 answers:
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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
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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
.
Suppose, we are given
two points as
F as (x1, y1)
H as (x2, y2)
assume it divides in m/n
we can use formula
now, we are given points as
F=(x1, y1)=(4,8)
H=(x2, y2)=(10,12)
so,
now, we can find
so, point is
.................Answer