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Math Problems
Calculus
Relative maxima or minima
c
(
n
)
=
4
9
(
−
3
)
n
−
1
c(n)=\frac{4}{9}(-3)^{n-1}
c
(
n
)
=
9
4
(
−
3
)
n
−
1
\newline
What is the
3
rd
3^{\text {rd }}
3
rd
term in the sequence?
\newline
□
\square
□
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{
2
y
−
7
x
−
3
x
+
3
y
=
12
9
y
−
7
x
−
1
x
+
3
y
=
17
\left\{\begin{array}{l} \frac{2}{y-7 x}-\frac{3}{x+3 y}=12 \\ \frac{9}{y-7 x}-\frac{1}{x+3 y}=17 \end{array}\right.
{
y
−
7
x
2
−
x
+
3
y
3
=
12
y
−
7
x
9
−
x
+
3
y
1
=
17
\newline
Which of the following substitutions will make both equations linear?
\newline
Choose
1
1
1
answer:
\newline
(A)
p
=
1
y
−
7
x
p=\frac{1}{y-7 x}
p
=
y
−
7
x
1
and
q
=
1
x
+
3
y
q=\frac{1}{x+3 y}
q
=
x
+
3
y
1
\newline
(B)
p
=
y
−
7
x
p=y-7 x
p
=
y
−
7
x
and
q
=
x
+
3
y
q=x+3 y
q
=
x
+
3
y
\newline
(c)
p
=
1
7
x
p=\frac{1}{7 x}
p
=
7
x
1
and
q
=
1
3
y
q=\frac{1}{3 y}
q
=
3
y
1
\newline
(D) No substitution will work here.
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10
10
10
. What is the area of the shaded region of the figure below?
\newline
8
8
8
\newline
1
y
d
2
=
1 y d^{2}=
1
y
d
2
=
\newline
=
65
y
=65 y
=
65
y
\newline
F.
16
y
d
2
16 \mathrm{yd}^{2}
16
yd
2
\newline
G.
65
y
d
2
65 \mathrm{yd}^{2}
65
yd
2
\newline
H.
81
y
d
2
81 \mathrm{yd}^{2}
81
yd
2
\newline
1
1
1
.
97
y
2
97 y^{2}
97
y
2
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Complete the following statement. Use the integers that are closest to the number in the middle.
\newline
□
\square
□
\newline
<
−
6
3
<
<\sqrt[3]{-6}<
<
3
−
6
<
\newline
□
\square
□
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The circle has center
O
O
O
, and the measure of angle
P
O
Q
P O Q
POQ
is
13
5
∘
135^{\circ}
13
5
∘
. The length of minor arc \overparen{P Q} is what fraction of the circumference of the circle?
\newline
(The number of degrees of arc in a circle is
360
360
360
.)
\newline
Choose
1
1
1
answer:
\newline
(A)
3
8
\frac{3}{8}
8
3
\newline
(B)
3
5
\frac{3}{5}
5
3
\newline
(c)
2
3
\frac{2}{3}
3
2
\newline
(D)
3
4
\frac{3}{4}
4
3
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Which of the following is an equation of the line in the
x
y
x y
x
y
-plane with
x
x
x
intercept
−
2
7
-\frac{2}{7}
−
7
2
and
y
y
y
-intercept
8
7
\frac{8}{7}
7
8
?
\newline
Choose
1
1
1
answer:
\newline
(A)
7
y
−
28
x
=
7 y-28 x=
7
y
−
28
x
=
\newline
(B)
7
y
+
28
x
=
8
7 y+28 x=8
7
y
+
28
x
=
8
\newline
(c)
−
7
y
+
28
x
=
8
-7 y+28 x=8
−
7
y
+
28
x
=
8
\newline
- INCORRECT (SELECTED)
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