Answer:
Step-by-step explanation: Explanation:
If
L
,
H
and
W
represent the length, height and width of the prism, then the volume of the rectangular prism is :
V
=
L
.
H
.
W
............. (1)
Given :
V
=
x
3
+
11
x
2
+
20
x
−
32
;
............... (2)
W
=
(
x
−
1
)
;
H
=
(
x
+
8
)
.
Let
L
=
(
x
+
l
0
)
be the expression for the length, then the RHS of equation (1) becomes
L
.
H
.
W
=
(
x
−
l
0
)
(
x
+
8
)
(
x
−
1
)
,
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
x
3
+
(
7
+
l
0
)
x
2
+
(
7
l
0
−
8
)
x
−
8
l
0
..... (3)
Comparing this to the LHS of equation (1), we get the following set of equations to solve for
l
0
,
7
+
l
0
=
11
;
7
l
0
−
8
=
20
;
8
l
0
=
32
;
l
0
=
4
Therefore
L
=
(
x
+
4
)
Answer:
Step-by-step explanation:
I believe that what you want to do here is to "differentiate" cos (2x - 1).
We must use the rule for differentiating cos x and also the chain rule, since the input to cos x here is (2x - 1).
(d/dx) is the derivative operator.
(d/dx) (cos x) = -sin x
(d/dx) cos (2x - 1) = - sin (2x - 1) * (d/dx) (2x -1) = -sin (2x - 1)(2) = -2sin (2x - 1)
The answer is x=3 is your answer
2020 + <em>N</em> ≡ 0 (mod 11)
<em>N</em> ≡ -2020 (mod 11)
Notice that 2020 = 183 • 11 + 7, so
<em>N</em> ≡ -(183 • 11 + 7) (mod 11)
<em>N</em> ≡ -7 (mod 11)
<em>N</em> ≡ 4 (mod 11)
Im not %100 sure but i think its 24a^2 - 42ab - 24b2
