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Math Problems
Algebra 2
Simplify radical expressions involving fractions
d
x
3
d
t
=
3
x
2
d
d
t
\frac{d x^3}{d t} = 3x^2 \frac{d}{d t}
d
t
d
x
3
=
3
x
2
d
t
d
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Simplify:
\newline
(
3
x
9
x
2
−
16
)
−
(
1
3
x
+
4
)
\left(\frac{3x}{9x^{2}-16}\right)-\left(\frac{1}{3x+4}\right)
(
9
x
2
−
16
3
x
)
−
(
3
x
+
4
1
)
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1
1
1
.
∫
x
arctg
x
d
x
\int \sqrt{x} \operatorname{arctg} \sqrt{x} d x
∫
x
arctg
x
d
x
.
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a
2
a
−
5
a
−
3
a
0
⋅
(
a
2
a
3
)
−
4
=
a
x
\dfrac{a^2a^{-5}}{a^{-3}a^0}\cdot\left(\dfrac{a^2}{a^3}\right)^{-4}=a^x
a
−
3
a
0
a
2
a
−
5
⋅
(
a
3
a
2
)
−
4
=
a
x
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∫
tan
5
3
x
⋅
sec
3
x
d
x
\int \tan ^{5} 3 x \cdot \sec 3 x d x
∫
tan
5
3
x
⋅
sec
3
x
d
x
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98
/
2
1
/
2
\sqrt{98}/2^{1/2}
98
/
2
1/2
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∫
x
2
cos
(
2
x
+
1
)
d
x
\int x^{2} \cos (2 x+1) d x
∫
x
2
cos
(
2
x
+
1
)
d
x
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w
2
−
20
−
2
=
2
\sqrt{w^{2}-20}-2=2
w
2
−
20
−
2
=
2
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6
4
3
+
3
6
4
3
=
4
⋅
6
A
\sqrt[3]{6^4}+3\sqrt[3]{6^4}=4\cdot6^A
3
6
4
+
3
3
6
4
=
4
⋅
6
A
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d
d
x
×
100
−
x
2
\frac{d}{d x} \times \sqrt{100-x^{2}}
d
x
d
×
100
−
x
2
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P = \dfrac{
2
2
2
}{
5
5
5
}m +
1
1
1
.
5
5
5
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10
t
9
+
1
9
t
8
+
1
\frac{10 t^{9}+1}{9 t^{8}+1}
9
t
8
+
1
10
t
9
+
1
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Find `m`
5
m
2
+
7
m
2
m
−
9
−
2
m
2
m
−
9
\qquad\dfrac{5m^2+7m}{2m-9}-\dfrac{2m}{2m-9}
2
m
−
9
5
m
2
+
7
m
−
2
m
−
9
2
m
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2
x
=
8
x
2^{\sqrt{x}}=8^{x}
2
x
=
8
x
.Find `x`
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1
1
a
=
1
1
5
6
11^a = \sqrt[6]{11^5}
1
1
a
=
6
1
1
5
\newline
a
=
□
a = \square
a
=
□
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Simplify.
\newline
5
i
−
(
4
+
6
i
)
5i-(4+6i)
5
i
−
(
4
+
6
i
)
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−
108
-\sqrt{108}
−
108
=
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Simplify
8
k
−
5
(
−
5
k
+
3
)
8k-5(-5k+3)
8
k
−
5
(
−
5
k
+
3
)
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∫
9
x
2
+
2
d
x
\int 9x^{2} + 2 \, dx
∫
9
x
2
+
2
d
x
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∫
0
1
(
4
−
2
x
)
e
8
x
−
2
x
2
d
x
\int _0^1\left(4-2x\right)e^{8x-2x^2}dx
∫
0
1
(
4
−
2
x
)
e
8
x
−
2
x
2
d
x
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simplify.
\newline
sec
2
x
−
1
sec
x
−
1
\frac{\sec^{2}x-1}{\sec x-1}
s
e
c
x
−
1
s
e
c
2
x
−
1
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(
sec
2
x
−
1
)
/
(
sec
x
−
1
)
\left(\sec^{2}x-1\right)/\left(\sec x-1\right)
(
sec
2
x
−
1
)
/
(
sec
x
−
1
)
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a
)
ln
e
2.50
−
ln
e
a) \ln e^{2.50}-\ln \sqrt{e}
a
)
ln
e
2.50
−
ln
e
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∫
sech
2
(
8
x
−
1
)
d
x
\int \text{sech}^2(8x-1) \, dx
∫
sech
2
(
8
x
−
1
)
d
x
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∫
x
2
+
3
d
x
\int x^{2} + 3 \, dx
∫
x
2
+
3
d
x
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Evaluate.
\newline
98
2
1
2
=
\frac{\sqrt{98}}{2^{\frac{1}{2}}}=
2
2
1
98
=
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Order the expressions from least to greatest.
\newline
2
3
−
2
1
2
1
+
3
1
3
2
2^{3}-2^{1} \quad 2^{1}+3^{1} \quad 3^{2}
2
3
−
2
1
2
1
+
3
1
3
2
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Order the expressions from least to greatest.
\newline
1
1
1
8
2
−
60
2
2
×
5
11^{1} \quad8^{2}-60 \quad 2^{2} \times 5
1
1
1
8
2
−
60
2
2
×
5
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Which of the following expressions is equivalent to
5
98
a
9
b
4
5 \sqrt{98 a^{9} b^{4}}
5
98
a
9
b
4
?
\newline
Choose
1
1
1
answer:
\newline
(A)
5
a
3
b
2
98
5 a^{3} b^{2} \sqrt{98}
5
a
3
b
2
98
\newline
(B)
10
a
4
b
2
7
a
10 a^{4} b^{2} \sqrt{7 a}
10
a
4
b
2
7
a
\newline
(C)
35
a
4
b
2
2
a
35 a^{4} b^{2} \sqrt{2 a}
35
a
4
b
2
2
a
\newline
(D)
245
a
3
b
2
2
245 a^{3} b^{2} \sqrt{2}
245
a
3
b
2
2
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Simplify.
\newline
63
4
\sqrt{\frac{63}{4}}
4
63
\newline
______
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