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Math Problems
Algebra 2
Sin, cos, and tan of special angles
Express as a function of a DIFFERENT angle,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
cos
(
7
4
∘
)
\cos \left(74^{\circ}\right)
cos
(
7
4
∘
)
\newline
cos
(
□
∘
)
\cos \left(\square^{\circ}\right)
cos
(
□
∘
)
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8
8
8
. Agat iga
=
5
2
=\frac{\sqrt{5}}{2}
=
2
5
boisa ifooaning aymatim toping.
\newline
sin
2
a
−
3
cos
2
a
cos
2
a
−
sin
2
a
\frac{\sin ^{2} a-3 \cos ^{2} a}{\cos ^{2} a-\sin ^{2} a}
cos
2
a
−
sin
2
a
sin
2
a
−
3
cos
2
a
\newline
A)
7
7
7
\newline
B)
−
7
-7
−
7
\newline
C)
−
3
-3
−
3
\newline
D)
3
3
3
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33
33
33
. In the given diagram,
△
A
B
E
≅
△
C
B
D
\triangle A B E \cong \triangle C B D
△
A
BE
≅
△
CB
D
. Prove:
△
A
F
D
≅
△
C
F
E
\triangle A F D \cong \triangle C F E
△
A
F
D
≅
△
CFE
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y
4
−
2
x
=
5
y^4-2x=5
y
4
−
2
x
=
5
, find
d
2
y
d
2
x
\frac{d^2y}{d^2x}
d
2
x
d
2
y
at
(
−
2
,
1
)
(-2,1)
(
−
2
,
1
)
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∫
e
a
x
sin
b
x
d
x
\int e^{a x} \sin b x d x
∫
e
a
x
sin
b
x
d
x
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The average value of
csc
2
x
\csc^2 x
csc
2
x
over the interval from
x
=
π
6
x=\frac{\pi}{6}
x
=
6
π
to
x
=
π
4
x=\frac{\pi}{4}
x
=
4
π
is
\newline
(A)
3
3
π
\frac{3\sqrt{3}}{\pi}
π
3
3
\newline
(B)
3
π
\frac{\sqrt{3}}{\pi}
π
3
\newline
(C)
12
π
(
3
−
1
)
\frac{12}{\pi}(\sqrt{3}-1)
π
12
(
3
−
1
)
\newline
(D)
3
(
3
−
1
)
3(\sqrt{3}-1)
3
(
3
−
1
)
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g
(
n
)
=
−
11
⋅
4
n
g(n)=-11\cdot4^{\large{\,n}}
g
(
n
)
=
−
11
⋅
4
n
Complete the recursive formula of
g
(
n
)
g(n)
g
(
n
)
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USE IMPLICIT dEFFERENTIATION to find
d
y
/
d
x
d y / d x
d
y
/
d
x
for
−
7
x
Y
−
5
-7 x Y-5
−
7
x
Y
−
5
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19
19
19
. If
w
<
0
w<0
w
<
0
and if
z
>
0
z>0
z
>
0
, which expression must be positive?
\newline
A.
w
−
z
2
w-z^{2}
w
−
z
2
\newline
B.
z
+
w
2
\mathrm{z}+\mathrm{w} 2
z
+
w
2
\newline
C.
z
2
÷
w
z^{2} \div \mathrm{w}
z
2
÷
w
\newline
D.
z
−
w
2
z-w^{2}
z
−
w
2
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What expression is equivalent to
(
x
y
7
z
3
)
6
\left(x y^{7} z^{3}\right)^{6}
(
x
y
7
z
3
)
6
?
\newline
Enter numbers in the boxes provided.
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∫
e
arcsin
x
d
x
\int e^{\arcsin x}\,dx
∫
e
a
r
c
s
i
n
x
d
x
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∫
arcsin
t
d
t
\int \arcsin t \, dt
∫
arcsin
t
d
t
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If
u
=
e
x
y
z
u=e^{xyz}
u
=
e
x
yz
find
∂
3
u
∂
x
∂
y
∂
z
\frac{\partial^{3}u}{\partial x \partial y \partial z}
∂
x
∂
y
∂
z
∂
3
u
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Write an expression that is equivalent to
3
k
−
18.
3k-18.
3
k
−
18.
\newline
3
k
−
18
=
□
(
k
−
?
)
3k-18=\square(k-\ ?)
3
k
−
18
=
□
(
k
−
?)
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Find
d
y
d
x
\frac{dy}{dx}
d
x
d
y
, if
y
=
(
−
5
x
2
−
3
)
−
4
y=(-5x^{2}-3)^{-4}
y
=
(
−
5
x
2
−
3
)
−
4
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y
=
22
x
−
1
6
+
x
y = \frac{22x - 1}{6 + x}
y
=
6
+
x
22
x
−
1
решить в целых числах
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Expand.
\newline
If necessary, combine like terms.
\newline
(
5
x
−
6
)
2
=
□
(5x-6)^2=\square
(
5
x
−
6
)
2
=
□
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∫
e
(
e
x
)
e
x
d
x
\int e^{(e^{x})}e^{x}dx
∫
e
(
e
x
)
e
x
d
x
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f
(
x
)
=
sec
x
1
+
tan
x
f(x)=\frac{\sec x}{1+\tan x}
f
(
x
)
=
1
+
t
a
n
x
s
e
c
x
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Simplify the expression completely if possible.
\newline
4
x
2
8
x
2
+
48
x
\frac{4 x^{2}}{8 x^{2}+48 x}
8
x
2
+
48
x
4
x
2
\newline
Answer:
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Simplify the expression completely if possible.
\newline
5
x
3
15
x
2
−
30
x
\frac{5 x^{3}}{15 x^{2}-30 x}
15
x
2
−
30
x
5
x
3
\newline
Answer:
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Simplify the expression completely if possible.
\newline
6
x
2
+
24
x
6
x
\frac{6 x^{2}+24 x}{6 x}
6
x
6
x
2
+
24
x
\newline
Answer:
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Simplify the expression completely if possible.
\newline
6
x
2
+
42
x
18
x
2
\frac{6 x^{2}+42 x}{18 x^{2}}
18
x
2
6
x
2
+
42
x
\newline
Answer:
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Simplify the expression completely if possible.
\newline
16
x
2
−
64
x
8
x
3
\frac{16 x^{2}-64 x}{8 x^{3}}
8
x
3
16
x
2
−
64
x
\newline
Answer:
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z
=
5
−
3
i
z=5-3i
z
=
5
−
3
i
\newline
Find the angle
θ
\theta
θ
(in degrees) that
z
z
z
makes in the complex plane.
\newline
Round your answer, if necessary, to the nearest tenth. Express
θ
\theta
θ
between
\newline
−
18
0
∘
-180^\circ
−
18
0
∘
and
18
0
∘
180^\circ
18
0
∘
.
\newline
θ
=
□
∘
\theta=\square^\circ
θ
=
□
∘
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Solve the equation. Check your solution
\newline
11
−
7
a
=
−
9
a
+
8
(
@
)
11-7a=-9a+8^{(@)}
11
−
7
a
=
−
9
a
+
8
(
@
)
\newline
The solution set is
\newline
{
⟶
.
S
i
m
p
l
i
f
y
y
o
u
r
a
r
\{\longrightarrow. Simplify your ar
{
⟶
.
S
im
pl
i
f
yyo
u
r
a
r
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Solve the equation. Check your solution
\newline
11
−
7
a
=
−
9
a
+
8
∘
11-7 a=-9 a+8^{\circ}
11
−
7
a
=
−
9
a
+
8
∘
\newline
The solution set is
{
□
}
\{\square\}
{
□
}
. Simplify your answer
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y
=
3
7
x
−
12
7
y=\frac{3}{7}x-\frac{12}{7}
y
=
7
3
x
−
7
12
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eit weklant vesia
\newline
lim
x
→
0
cos
(
4
x
)
tan
(
2
x
)
\lim_{x \to 0}\frac{\cos(4x)}{\tan(2x)}
lim
x
→
0
t
a
n
(
2
x
)
c
o
s
(
4
x
)
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z
=
7
+
3
i
z=7+3 i
z
=
7
+
3
i
\newline
Find the angle
θ
\theta
θ
(in degrees) that
z
z
z
makes in the complex plane. Round your answer, if necessary, to the nearest tenth. Express
θ
\theta
θ
between
−
18
0
∘
-180^{\circ}
−
18
0
∘
and
18
0
∘
180^{\circ}
18
0
∘
.
\newline
θ
=
□
∘
\theta=\square^{\circ}
θ
=
□
∘
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∫
2
x
+
4
d
x
\int 2 x+4 d x
∫
2
x
+
4
d
x
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Solve the equation. Check your solution.
\newline
18
=
6
−
(
z
+
8
)
18=6-(z+8)
18
=
6
−
(
z
+
8
)
\newline
The solution set is
\newline
\(\{\sqrt{\gamma}\}. (Simplify your answer)
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15
=
−
5
3
x
15 = -\frac{5}{3}x
15
=
−
3
5
x
\newline
The solution set is
\newline
{
□
}
\{\square\}
{
□
}
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Determine the value of
y
y
y
, if
x
x
x
is
−
2
-2
−
2
.
\newline
y
=
x
2
−
5
y=x^{2}-5
y
=
x
2
−
5
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
5
5
5
.
\newline
y
=
(
x
−
3
)
2
y=(x-3)^{2}
y
=
(
x
−
3
)
2
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
12
12
12
.
\newline
y
=
(
x
−
10
)
2
y=(x-10)^{2}
y
=
(
x
−
10
)
2
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
−
6
-6
−
6
.
\newline
y
=
(
x
+
8
)
2
y=(x+8)^{2}
y
=
(
x
+
8
)
2
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
−
8
-8
−
8
.
\newline
y
=
x
2
−
2
y=x^{2}-2
y
=
x
2
−
2
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
−
12
-12
−
12
.
\newline
y
=
x
2
−
10
y=x^{2}-10
y
=
x
2
−
10
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
−
4
-4
−
4
.
\newline
y
=
(
x
−
5
)
2
y=(x-5)^{2}
y
=
(
x
−
5
)
2
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
−
5
-5
−
5
.
\newline
y
=
(
x
−
5
)
2
y=(x-5)^{2}
y
=
(
x
−
5
)
2
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
5
5
5
.
\newline
y
=
(
x
−
5
)
2
y=(x-5)^{2}
y
=
(
x
−
5
)
2
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
−
11
-11
−
11
.
\newline
y
=
(
x
+
4
)
2
y=(x+4)^{2}
y
=
(
x
+
4
)
2
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
−
3
-3
−
3
.
\newline
y
=
x
2
+
3
y=x^{2}+3
y
=
x
2
+
3
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
−
4
-4
−
4
.
\newline
y
=
x
2
−
5
y=x^{2}-5
y
=
x
2
−
5
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
−
9
-9
−
9
.
\newline
y
=
x
2
−
12
y=x^{2}-12
y
=
x
2
−
12
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
−
11
-11
−
11
.
\newline
y
=
x
2
+
4
y=x^{2}+4
y
=
x
2
+
4
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
10
10
10
.
\newline
y
=
46
x
−
8
y=\frac{46}{x-8}
y
=
x
−
8
46
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
7
7
7
.
\newline
y
=
44
x
−
29
y=\frac{44}{x-29}
y
=
x
−
29
44
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
5
5
5
.
\newline
y
=
34
x
−
7
y=\frac{34}{x-7}
y
=
x
−
7
34
\newline
Answer:
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