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Math Problems
Calculus
Find limits involving trigonometric functions
f
(
x
)
=
−
3
x
+
1
[
−
2
,
2
f(x)=-3x+1\quad[-2,2
f
(
x
)
=
−
3
x
+
1
[
−
2
,
2
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Somplete each function table.
\newline
y
=
−
2
x
+
4
y=-2x+4
y
=
−
2
x
+
4
\newline
x
x
x
\newline
y
y
y
\newline
(
x
,
y
)
(x,y)
(
x
,
y
)
\newline
−
6
-6
−
6
\newline
−
2
-2
−
2
\newline
4
4
4
\newline
8
8
8
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Find the area of the rectangle pictured above.
\newline
□
\square
□
units
2
^{2}
2
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able
5
x
+
x
=
12
5x+x = 12
5
x
+
x
=
12
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Combien existe-t-il de fonctions logiques de
2
2
2
variables, dans le contexte d’une logique à
3
3
3
valeurs ? Justifier votre réponse
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1
1
1
. Найти угловой коэффициент касательной, проведённой к графику функции
y
=
x
25
y=\sqrt[25]{x}
y
=
25
x
в точке
x
0
=
1
x_{0}=1
x
0
=
1
.
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x
−
3
y
≥
−
7
x-3y \geq -7
x
−
3
y
≥
−
7
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f
(
x
)
=
cos
2
θ
f(x)=\cos 2 \theta
f
(
x
)
=
cos
2
θ
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cos
(
2
x
)
+
5
cos
(
x
)
+
3
=
0
\cos (2 x)+5 \cos (x)+3=0
cos
(
2
x
)
+
5
cos
(
x
)
+
3
=
0
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Find a point on the line and the line's slope.
\newline
y
+
4
=
3
(
x
+
3
)
y+4=3(x+3)
y
+
4
=
3
(
x
+
3
)
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50
−
2
n
50-2n
50
−
2
n
is less then
400
−
5
n
400-5n
400
−
5
n
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y
=
−
2
x
+
4
y=-2x+4
y
=
−
2
x
+
4
\newline
Complete the missing value in the solution to the equation.
\newline
( _____ , -2)
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∬
D
(
2
x
+
y
)
d
x
d
y
,
D
:
x
+
y
=
3
;
y
=
0
;
x
=
0
\iint_{D}(2 x+y) d x d y, D: x+y=3 ; y=0 ; x=0
∬
D
(
2
x
+
y
)
d
x
d
y
,
D
:
x
+
y
=
3
;
y
=
0
;
x
=
0
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5
x
+
2
5
=
2
\sqrt[5]{5 x+2}=2
5
5
x
+
2
=
2
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Compare the numbers. Pick the correct sign.
\newline
−
5
?
−
8
-5 \,?\, -8
−
5
?
−
8
\newline
\newline
You can use the number line to help.
\newline
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
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20
=
X
2
20=\frac{X}{2}
20
=
2
X
The variable
X
X
X
, is being divided by
2
2
2
. What step needs to be completed to isolate the variable
X
X
X
?
\newline
□
\square
□
\newline
□
\square
□
2
2
2
□
\square
□
\newline
□
\square
□
\newline
□
\square
□
\newline
□
\square
□
\newline
Multiply both sides by
2
2
2
\newline
Subtract
2
2
2
from both sides
\newline
Divide both sides by
2
2
2
\newline
Add
2
2
2
to both sides
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Se
x
=
7
x=7
x
=
7
, então
5
(
x
+
2
)
=
5(x+2)=
5
(
x
+
2
)
=
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Se
x
=
6
x=6
x
=
6
, então
4
(
x
−
1
)
=
4(x-1)=
4
(
x
−
1
)
=
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Se
x
=
5
x=5
x
=
5
, então
2
(
x
+
6
)
=
2(x+6)=
2
(
x
+
6
)
=
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Se
x
=
8
x=8
x
=
8
, então
3
(
x
−
6
)
=
3(x-6)=
3
(
x
−
6
)
=
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ach side of the garden =
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n)
\newline
m
∠
1
=
\mathrm{m} \angle 1=
m
∠1
=
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What is the missing constant term in the perfect square that starts with
x
2
−
4
x
x^{2}-4 x
x
2
−
4
x
?
\newline
□
\square
□
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If
f
(
x
)
=
5
x
−
3
f(x)=5x-3
f
(
x
)
=
5
x
−
3
, what is the value of
f
(
4
)
f(4)
f
(
4
)
?
\newline
□
\square
□
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In parallelogram KL.MN if KP=
7
7
7
find PM.
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f
(
x
)
=
3
x
2
+
4
x
+
1
f(x)=3x^2+4x+1
f
(
x
)
=
3
x
2
+
4
x
+
1
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Name
\qquad
\newline
Chapter
10
10
10
\newline
Test A (continued)
\newline
8
8
8
. Find the value of
x
x
x
.
\newline
X
=
\mathrm{X}=
X
=
\newline
\qquad
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Find the measure of the angle ind
\newline
? =
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make
x
x
x
the subject from
(
x
+
1
)
(
x
−
3
)
(x+1)(x-3)
(
x
+
1
)
(
x
−
3
)
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What is the missing constant term in the perfect square that starts with
x
2
−
16
x
x^{2}-16 x
x
2
−
16
x
?
\newline
□
\square
□
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Evaluate the following limit using L'Hospital's rule.
\newline
lim
x
→
0
+
(
cos
(
9
x
)
)
(
1
9
x
2
)
\lim _{x \rightarrow 0^{+}}(\cos (9 x))\left(\frac{1}{9 x^{2}}\right)
x
→
0
+
lim
(
cos
(
9
x
))
(
9
x
2
1
)
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Evaluate the following limit using L'Hospital's rule.
\newline
lim
x
→
0
+
(
9
x
)
sin
(
5
x
)
\lim _{x \rightarrow 0^{+}}(9 x)^{\sin (5 x)}
x
→
0
+
lim
(
9
x
)
s
i
n
(
5
x
)
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Question
\newline
Evaluate the following limit using L'Hospital's rule.
\newline
lim
x
→
0
+
(
9
x
)
sin
(
5
x
)
\lim _{x \rightarrow 0^{+}}(9 x)^{\sin (5 x)}
x
→
0
+
lim
(
9
x
)
s
i
n
(
5
x
)
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rac{ ext{ extdollar}Y ext{ extdollar}- ext{ extdollar}
8
8
8
ext{ extdollar}}{ ext{ extdollar}
2
2
2
ext{ extdollar}} ext{ extdollar}= ext{ extdollar} ext{ extdollar}
11
11
11
ext{ extdollar}
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Find the surface area of the box shown.
\newline
S.A.
=
=
=
□
\square
□
in.
2
^{2}
2
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Given
m
(
X
)
=
5
x
−
3
m(X) = 5x - 3
m
(
X
)
=
5
x
−
3
, find
m
(
8
)
m(8)
m
(
8
)
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What is the area of the kite?
\newline
Check
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D\'eterminer deux angles entre
0
∘
0^\circ
0
∘
et
36
0
∘
360^\circ
36
0
∘
qui ont une cos\'ecante de
5
5
5
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Solve for a positive value of
x
x
x
.
\newline
log
3
(
243
)
=
x
\log _{3}(243)=x
lo
g
3
(
243
)
=
x
\newline
Answer:
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x
÷
3
=
10
x \div 3=10
x
÷
3
=
10
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k
4
+
3
=
14
\frac{k}{4}+3=14
4
k
+
3
=
14
\newline
What is the value of
k
k
k
in the equation shown?
\newline
□
\square
□
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lim
x
→
0
(
csc
2
x
−
1
2
x
)
=
\lim _{x \rightarrow 0}\left(\csc 2 x-\frac{1}{2 x}\right)=
lim
x
→
0
(
csc
2
x
−
2
x
1
)
=
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Demi keamanan, tangga diletakkan dengan sudut kemiringan
75
75
75
derajat. Diketahui, tinggi satu lantai pada suatu gedung adalah
3
,
2
3,2
3
,
2
meter. Jika tangga perlu disediakan tepat di lantai balkon tingkat
4
4
4
, berapakah panjang tangga yang diperlukan ?
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d
y
d
x
=
2
y
2
\frac{dy}{dx} = 2y^2
d
x
d
y
=
2
y
2
and
y
(
1
)
=
−
1
y(1)=-1
y
(
1
)
=
−
1
.
y
(
3
)
=
?
y(3)=?
y
(
3
)
=
?
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x
+
2
x
=
13
x+2x=13
x
+
2
x
=
13
what is value of
x
x
x
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f
(
x
)
=
sin
2
x
cos
x
f(x)=\sin 2 x \cos x
f
(
x
)
=
sin
2
x
cos
x
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y
=
−
9
(
x
+
1
)
(
x
+
1
)
y=-9(x+1)(x+1)
y
=
−
9
(
x
+
1
)
(
x
+
1
)
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3
x
−
y
=
7
3 x-y=7
3
x
−
y
=
7
find
y
y
y
when
x
x
x
is
7
7
7
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a)
−
7
=
x
+
3
-7=x+3
−
7
=
x
+
3
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How many solutions does the system have?
\newline
3
x
+
y
=
8
3x+y=8
3
x
+
y
=
8
\newline
2
x
+
2
y
=
8
2x+2y=8
2
x
+
2
y
=
8
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2
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