AnswersPrecalculusApplying Vectors in the Plane

Applying Vectors in the Plane — Cumulative exam Answers

25 verified answers7 views
1
Free Preview

Question text not available

Question illustration
A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
2
Free Preview

A vector in standard position has its terminal point at (7, –4). What is the magnitude of the vector?

A
StartRoot 3 EndRoot
Option A
B
3
C
StartRoot 65 EndRoot
Option C
D
65
3

Review the table of values for function j(x) = .xj(x)7.90.7478997.990.7497917.9990.7499798undefined8.0010.7500218.010.7502088.10.752066

Question illustration
A
0.375
B
0.75
C
8
D
DNE
4

Let q = ⟨15, –3⟩, r = ⟨–5, 8⟩, and s = ⟨10, –1⟩. What is r – q + 2s?

A
⟨0, 3⟩
B
⟨0, 9⟩
C
⟨40, 3⟩
D
⟨40, -13⟩
5

Stu takes a job with a starting salary of $65,000 for the first year. He earns a 2% increase each year. To the nearest dollar, how much does Stu make over the first five years?

A
$325,000
B
$331,500
C
$338,263
D
$358,826
6

What is ?

Question illustration
A
–2
B
–1
C
0
D
DNE
7

Which pair of equations below is a result of constructing the altitude, h, in ?

Question illustration
A
sine A = StartFraction h over c EndFraction sine C = StartFraction h over a EndFraction
Option A
B
sine A = StartFraction h over c EndFraction sine B = StartFraction b over c EndFraction
Option B
C
sine A = StartFraction b over c EndFraction sine C = StartFraction b over a EndFraction
Option C
D
sine C = StartFraction h over a EndFraction sine B = StartFraction b over a EndFraction
Option D
8

Which graph represents points on the polar curve r = –4sin(3θ)?

A
On a polar coordinate plane, points are at (4, StartFraction 2 pi Over 4 EndFraction), (4, 0), and (4, StartFraction 4 pi Over 3 EndFraction).
Option A
B
On a polar coordinate plane, points are at (4, pi), (4, StartFraction pi Over 3 EndFraction), and (4, StartFraction 5 pi Over 3 EndFraction).
Option B
C
On a polar coordinate plane, points are at (4, StartFraction pi Over 6 EndFraction), (4, StartFraction 5 pi Over 6 EndFraction), and (4, StartFraction 3 pi Over 2 EndFraction).
Option C
D
On a polar coordinate plane, point are at (4, StartFraction pi Over 2 EndFraction), (4, StartFraction 11 pi Over 6 EndFraction), (4, StartFraction 7 pi Over 6 EndFraction).
Option D
9

Which region on the unit circle contains a cube root of – 8 – 8i?

A
in quadrant I
B
in quadrant II
C
on the imaginary axis
D
on the real axis
10

What is the value of ?

Question illustration
A
–38
B
–14
C
6
D
38
11

A sequence can be defined by the explicit formula . Which recursive formula represents the same sequence of numbers?

Question illustration
A
mc020-2.jpg
Option A
B
mc020-3.jpg
Option B
C
mc020-4.jpg
Option C
D
mc020-5.jpg
Option D
12

Which statement is true?

A
converges because r < 1.
Option A
B
diverges because |r | < 1.
Option B
C
diverges because |r | > 1.
Option C
D
converges because r > 1.
Option D
13

What is the rectangular form of the parametric equations x = 6t and y =?

Question illustration
A
y = StartFraction x squared Over 4 EndFraction
Option A
B
y = StartFraction x squared Over 9 EndFraction
Option B
C
y = StartFraction x Over 144 EndFraction
Option C
D
y = StartFraction x Over 9 EndFraction
Option D
14

Review graph I and graph II.

A
In both graph I and graph II, the limit is 5.
B
In both graph I and graph II, the limit does not exist.
C
In graph I, the limit does not exist, but in graph II, the limit is 5.
D
In graph I, the limit is 8, but in graph II, the limit does not exist.
15

The equation represents a hyperbola centered at the origin with a focus of (0,-10). What is the value of b?

Question illustration
A
4
B
6
C
10
D
12
16

A bicycle path starts 5 miles due east of an intersection, and continues in a straight line to finish 8 miles due north of the same intersection. Let the intersection be represented by the point (0, 0). Suppose a cyclist rides the path from start to finish in 2 hours. Which parametric equations model the path of the rider?

A
x (t) = negative five-halves t + 5 and y (t) = 4 t
Option A
B
x (t) = negative five-halves t + 5 and y (t) = 4 t + 8
Option B
C
x(t) = 5t + 2 and y(t) = 8t
D
x(t) = 5t and y(t) = 8t + 2
17

Let v = ⟨–13, 2⟩ and w = ⟨–9, –5⟩. What is w – v?

A
⟨–22, –23⟩
B
⟨–4, 7⟩
C
⟨4, –7⟩
D
⟨22, 3⟩
18

The foci and the vertices of the hyperbola are labeled.

Question illustration
A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
19

Which geometric series converges?

A
mc013-1.jpg
Option A
B
mc013-2.jpg
Option B
C
mc013-3.jpg
Option C
D
mc013-4.jpg
Option D
20

Hannah has $1,000 in her savings account. During month 1, she withdraws $25. Each successive month, she withdraws $10 more than the previous month. The amount left in her account after 10 months can be represented by this expression: . How much remains in Hannah’s savings account after 10 months?

Question illustration
A
$300
B
$210
C
$200
D
$100

Did you find these answers helpful?

More from this Course

RC
25 verified answers

Cumulative Exam

RC
49 verified answers

Cumulative Exam

RC
1 verified answers

Cumulative Exam