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Math Problems
Calculus
Find limits involving absolute value functions
What radical function is represented in the graph?
\newline
f
(
x
)
=
f(x)=
f
(
x
)
=
\newline
(Simplify your answer.)
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=
1
2
=\frac{1}{2}
=
2
1
\newline
4
4
4
. If
x
−
1
y
+
3
−
x
y
=
1
z
\frac{x-1}{y+3}-\frac{x}{y}=\frac{1}{z}
y
+
3
x
−
1
−
y
x
=
z
1
, find
x
x
x
when
y
=
8
y=8
y
=
8
and
z
=
2
z=2
z
=
2
.
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What is the sum of the numerical coefficients (including the constant term) of the expanded form of the expression below?
(
t
−
2
)
6
(t-2)^6
(
t
−
2
)
6
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(
2
x
−
1
)
(
x
−
5
)
(
x
+
2
)
=
0
(2 x-1)(x-5)(x+2)=0
(
2
x
−
1
)
(
x
−
5
)
(
x
+
2
)
=
0
\newline
What is a positive root of the given equation?
\newline
□
\square
□
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Find the derivative of each function using the limit definition.
\newline
a.
\newline
f
(
x
)
=
x
2
+
3
x
−
5
f(x)=x^{2}+3x-5
f
(
x
)
=
x
2
+
3
x
−
5
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