Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 2
Find trigonometric ratios using multiple identities
The derivative of the function
f
f
f
is defined by
f
′
(
x
)
=
(
x
2
−
4
x
)
sin
(
3
x
+
2
)
f^{\prime}(x)=\left(x^{2}-4 x\right) \sin (3 x+2)
f
′
(
x
)
=
(
x
2
−
4
x
)
sin
(
3
x
+
2
)
. If
f
(
3
)
=
−
6
f(3)=-6
f
(
3
)
=
−
6
, then use a calculator to find the value of
f
(
−
2
)
f(-2)
f
(
−
2
)
to the nearest thousandth.
\newline
Answer:
Get tutor help
The derivative of the function
f
f
f
is defined by
f
′
(
x
)
=
(
x
3
−
5
x
)
cos
(
2
x
)
f^{\prime}(x)=\left(x^{3}-5 x\right) \cos (2 x)
f
′
(
x
)
=
(
x
3
−
5
x
)
cos
(
2
x
)
. If
f
(
−
1
)
=
−
4
f(-1)=-4
f
(
−
1
)
=
−
4
, then use a calculator to find the value of
f
(
6
)
f(6)
f
(
6
)
to the nearest thousandth.
\newline
Answer:
Get tutor help
The derivative of the function
f
f
f
is defined by
f
′
(
x
)
=
(
x
3
−
5
x
)
sin
(
x
+
5
)
f^{\prime}(x)=\left(x^{3}-5 x\right) \sin (x+5)
f
′
(
x
)
=
(
x
3
−
5
x
)
sin
(
x
+
5
)
. If
f
(
−
1
)
=
−
5
f(-1)=-5
f
(
−
1
)
=
−
5
, then use a calculator to find the value of
f
(
3
)
f(3)
f
(
3
)
to the nearest thousandth.
\newline
Answer:
Get tutor help
Let
y
4
+
5
x
=
11
y^{4}+5 x=11
y
4
+
5
x
=
11
.
\newline
What is the value of
d
2
y
d
x
2
\frac{d^{2} y}{d x^{2}}
d
x
2
d
2
y
at the point
(
2
,
1
)
(2,1)
(
2
,
1
)
?
\newline
Give an exact number.
Get tutor help
16
x
2
−
8
x
−
3
=
0
16 x^{2}-8 x-3=0
16
x
2
−
8
x
−
3
=
0
\newline
Let
x
=
q
x=q
x
=
q
and
x
=
r
x=r
x
=
r
be solutions to the equation shown, with
q
>
r
q>r
q
>
r
. What is the value of
q
−
r
q-r
q
−
r
?
Get tutor help
6
x
2
−
7
x
−
5
=
0
6 x^{2}-7 x-5=0
6
x
2
−
7
x
−
5
=
0
\newline
Let
x
=
j
x=j
x
=
j
and
x
=
k
x=k
x
=
k
be solutions to the given equation, with
j
>
k
j>k
j
>
k
. What is the value of
j
−
k
j-k
j
−
k
?
Get tutor help
y
4
⋅
y
y
3
\frac{\sqrt[4]{y} \cdot \sqrt{y}}{\sqrt[3]{y}}
3
y
4
y
⋅
y
\newline
If the given expression is equal to
y
a
y^{a}
y
a
for all positive values of
y
y
y
, what is the value of
a
a
a
?
Get tutor help
The
y
y
y
-intercept of the graph of
y
=
−
7
x
+
140
y=-7 x+140
y
=
−
7
x
+
140
is located at
(
0
,
c
)
(0, c)
(
0
,
c
)
. What is the value of
c
c
c
?
Get tutor help
−
3
(
a
x
2
−
2
y
2
)
=
−
21
x
2
+
6
y
2
-3\left(a x^{2}-2 y^{2}\right)=-21 x^{2}+6 y^{2}
−
3
(
a
x
2
−
2
y
2
)
=
−
21
x
2
+
6
y
2
\newline
In the given equation,
a
a
a
is a constant. What is the value of
a
a
a
?
Get tutor help
−
4
(
2
x
2
−
3
)
=
−
8
x
2
+
c
-4\left(2 x^{2}-3\right)=-8 x^{2}+c
−
4
(
2
x
2
−
3
)
=
−
8
x
2
+
c
\newline
In the given equation,
c
c
c
is a constant. What is the value of
c
c
c
?
Get tutor help
x
2
+
9
x
+
20
x^{2}+9 x+20
x
2
+
9
x
+
20
\newline
If
(
x
+
a
)
(
x
+
b
)
(x+a)(x+b)
(
x
+
a
)
(
x
+
b
)
is equivalent to the given expression, what is the value of
a
+
b
a+b
a
+
b
?
Get tutor help
If
csc
(
θ
)
=
17
8
\csc(\theta) = \frac{17}{8}
csc
(
θ
)
=
8
17
and
0
∘
<
θ
<
9
0
∘
0^\circ < \theta < 90^\circ
0
∘
<
θ
<
9
0
∘
, what is
tan
(
θ
)
\tan(\theta)
tan
(
θ
)
?
\newline
Write your answer in simplified, rationalized form.
\newline
tan
(
θ
)
=
\tan(\theta) =
tan
(
θ
)
=
______
\newline
Get tutor help
Previous
1
2
