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Calculus
Find derivatives of trigonometric functions using the product and quotient rules
DERIVATION OF MARGINAL FUNCTION
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Find the length of the spiral
r
=
θ
r=\theta
r
=
θ
for
0
≤
θ
≤
2
0 \leq \theta \leq 2
0
≤
θ
≤
2
.
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Find the argument of the complex number
2
+
2
i
2+2 i
2
+
2
i
in the interval
0
≤
θ
<
2
π
0 \leq \theta<2 \pi
0
≤
θ
<
2
π
. Express your answer in terms of
π
\pi
π
.
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Which of the following is a correct interpretation of the expression
5
−
8
5-8
5
−
8
?
\newline
Choose
1
1
1
answer:
\newline
(A) Start at
5
5
5
on the number line and move
8
8
8
to the left.
\newline
(B) Start at
5
5
5
on the number line and move
8
8
8
to the right.
\newline
(C) Start at
8
8
8
on the number line and move
5
5
5
to the left.
\newline
(D) Start at
8
8
8
on the number line and move
5
5
5
to the right.
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What is the slope of
y
=
5
x
−
1
y=5 x-1
y
=
5
x
−
1
?
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What is the slope of
y
=
−
x
+
7
y=-x+7
y
=
−
x
+
7
?
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What is the slope of
y
=
4
−
2
x
y=4-2 x
y
=
4
−
2
x
?
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What is the slope of
y
=
−
4
x
−
3
y=-4 x-3
y
=
−
4
x
−
3
?
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What is the slope of
y
=
−
1
+
3
x
y=-1+3 x
y
=
−
1
+
3
x
?
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What is the slope of
y
=
x
+
5
y=x+5
y
=
x
+
5
?
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What is the slope of
y
=
−
5
+
4
x
y=-5+4 x
y
=
−
5
+
4
x
?
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What is the slope of
y
=
−
4
y=-4
y
=
−
4
?
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