1. 7x(x + 3)
7x(x) + 7(3)
7x² + 21
2. (7x + 1)(x + 3)
7x² + 21x + x + 3
7x² + 22x + 3
3. (x² + x)²
(x² + x)(x² + x)
x^4 + x³ + x³ + x²
x^4 + 2x³ + x²
Step-by-step explanation:
Given,
width = 9cm
so a/q length of the rectangle will be 19 - ( 9×3) = 19 - 27 = 8 cm
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i. The Lagrangian is

with critical points whenever



- If
, then
. - If
, then
. - Either value of
found above requires that either
or
, so we get the same critical points as in the previous two cases.
We have
,
,
, and
, so
has a minimum value of 9 and a maximum value of 182.25.
ii. The Lagrangian is

with critical points whenever
(because we assume
)



- If
, then
. - If
, then
, and with
we have
.
We have
,
,
, and
. So
has a maximum value of 61 and a minimum value of -60.
Answer:
Step-by-step explanation:
Answer:
congruent & parallel
Step-by-step explanation:
The bases of a circular cylinder are congruent and parallel to each other. If you need more explanation, reply to my answer.