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Math Problems
Precalculus
Even and odd functions
\newline
If
∣
a
⃗
+
b
⃗
∣
=
∣
a
⃗
−
b
⃗
∣
|\vec{a}+\vec{b}|=|\vec{a}-\vec{b}|
∣
a
+
b
∣
=
∣
a
−
b
∣
prove that
a
⃗
\vec{a}
a
and
b
⃗
\vec{b}
b
are perpendicular
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For the rotation
−
29
3
∘
-293^{\circ}
−
29
3
∘
, find the coterminal angle from
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, the quadrant, and the reference angle.
\newline
The coterminal angle is
□
∘
\square^{\circ}
□
∘
, which lies in Quadrant
□
\square
□
, with a reference angle of
□
∘
\square^{\circ}
□
∘
.
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Express as a complex number in simplest a+bi form:
\newline
10
−
5
i
−
5
−
6
i
\frac{10-5 i}{-5-6 i}
−
5
−
6
i
10
−
5
i
\newline
Answer:
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Express as a complex number in simplest a+bi form:
\newline
4
−
3
i
−
4
−
4
i
\frac{4-3 i}{-4-4 i}
−
4
−
4
i
4
−
3
i
\newline
Answer:
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Determine whether the function
f
(
x
)
=
−
7
x
4
−
6
x
2
+
2
x
6
f(x)=-7 x^{4}-6 x^{2}+2 x^{6}
f
(
x
)
=
−
7
x
4
−
6
x
2
+
2
x
6
is even, odd or neither.
\newline
even
\newline
odd
\newline
neither
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