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Math Problems
Algebra 2
Evaluate expression when a complex numbers and a variable term is given
Let
g
(
x
)
=
x
−
12
g(x)=x^{-12}
g
(
x
)
=
x
−
12
.
\newline
g
′
(
x
)
=
g^{\prime}(x)=
g
′
(
x
)
=
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y
′
=
2
x
+
3
y
−
1
y^{\prime}=2 x+3 y-1
y
′
=
2
x
+
3
y
−
1
\newline
Is
y
=
−
2
3
x
+
1
9
y=-\frac{2}{3} x+\frac{1}{9}
y
=
−
3
2
x
+
9
1
a solution to the above equation?
\newline
Choose
1
1
1
answer:
\newline
(A) Yes
\newline
(B) No
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Let
y
=
5
−
3
x
x
2
+
3
x
y=\frac{5-3 x}{x^{2}+3 x}
y
=
x
2
+
3
x
5
−
3
x
.
\newline
d
y
d
x
=
\frac{d y}{d x}=
d
x
d
y
=
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Let
h
(
x
)
=
−
x
3
+
4
h(x)=-x^{3}+4
h
(
x
)
=
−
x
3
+
4
.
\newline
What is the absolute maximum value of
h
h
h
over the closed interval
[
−
2
,
2
]
[-2,2]
[
−
2
,
2
]
?
\newline
Choose
1
1
1
answer:
\newline
(A)
12
\mathbf{1 2}
12
\newline
(B)
4
4
4
\newline
(C)
−
16
-16
−
16
\newline
(D)
16
\mathbf{1 6}
16
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Let
h
(
x
)
=
−
x
3
+
4
h(x)=-x^{3}+4
h
(
x
)
=
−
x
3
+
4
.
\newline
What is the absolute maximum value of
h
h
h
over the closed interval
[
−
2
,
2
]
[-2,2]
[
−
2
,
2
]
?
\newline
Choose
1
1
1
answer:
\newline
(A)
12
\mathbf{1 2}
12
\newline
(B)
16
\mathbf{1 6}
16
\newline
(C)
4
4
4
\newline
(D)
−
16
-16
−
16
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